Solving the maximum cut problem using Harris Hawk Optimization algorithm

The objective of the max-cut problem is to cut any graph in such a way that the total weight of the edges that are cut off is maximum in both subsets of vertices that are divided due to the cut of the edges. Although it is an elementary graph partitioning problem, it is one of the most challenging c...

Full description

Saved in:

Bibliographic Details
Published in:	PloS one Vol. 19; no. 12; p. e0315842
Main Authors:	Islam, Md. Rafiqul, Islam, Md. Shahidul, Boni, Pritam Khan, Sarker, Aldrin Saurov, Anam, Md. Asif
Format:	Journal Article
Language:	English
Published:	United States Public Library of Science 30.12.2024 Public Library of Science (PLoS)
Subjects:	Acceptance criteria Algorithms Analysis Apexes Biology and Life Sciences Chemical reactions Combinatorial analysis Computer and Information Sciences Computer Simulation Ecology and Environmental Sciences Eigenvalues Genetic algorithms Graph theory Hawks Health aspects Heuristic Mathematical optimization Observations Operators Optimization Optimization algorithms Parameter estimation Parameter modification Parameter sensitivity Physical Sciences Rank tests Research and Analysis Methods Search algorithms Bangladesh
ISSN:	1932-6203, 1932-6203
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Abstract	The objective of the max-cut problem is to cut any graph in such a way that the total weight of the edges that are cut off is maximum in both subsets of vertices that are divided due to the cut of the edges. Although it is an elementary graph partitioning problem, it is one of the most challenging combinatorial optimization-based problems, and tons of application areas make this problem highly admissible. Due to its admissibility, the problem is solved using the Harris Hawk Optimization algorithm (HHO). Though HHO effectively solved some engineering optimization problems, is sensitive to parameter settings and may converge slowly, potentially getting trapped in local optima. Thus, HHO and some additional operators are used to solve the max-cut problem. Crossover and refinement operators are used to modify the fitness of the hawk in such a way that they can provide precise results. A mutation mechanism along with an adjustment operator has improvised the outcome obtained from the updated hawk. To accept the potential result, the acceptance criterion has been used, and then the repair operator is applied in the proposed approach. The proposed system provided comparatively better outcomes on the G-set dataset than other state-of-the-art algorithms. It obtained 533 cuts more than the discrete cuckoo search algorithm in 9 instances, 1036 cuts more than PSO-EDA in 14 instances, and 1021 cuts more than TSHEA in 9 instances. But for four instances, the cuts are lower than PSO-EDA and TSHEA. Besides, the statistical significance has also been tested using the Wilcoxon signed rank test to provide proof of the superior performance of the proposed method. In terms of solution quality, MC-HHO can produce outcomes that are quite competitive when compared to other related state-of-the-art algorithms.
AbstractList	The objective of the max-cut problem is to cut any graph in such a way that the total weight of the edges that are cut off is maximum in both subsets of vertices that are divided due to the cut of the edges. Although it is an elementary graph partitioning problem, it is one of the most challenging combinatorial optimization-based problems, and tons of application areas make this problem highly admissible. Due to its admissibility, the problem is solved using the Harris Hawk Optimization algorithm (HHO). Though HHO effectively solved some engineering optimization problems, is sensitive to parameter settings and may converge slowly, potentially getting trapped in local optima. Thus, HHO and some additional operators are used to solve the max-cut problem. Crossover and refinement operators are used to modify the fitness of the hawk in such a way that they can provide precise results. A mutation mechanism along with an adjustment operator has improvised the outcome obtained from the updated hawk. To accept the potential result, the acceptance criterion has been used, and then the repair operator is applied in the proposed approach. The proposed system provided comparatively better outcomes on the G-set dataset than other state-of-the-art algorithms. It obtained 533 cuts more than the discrete cuckoo search algorithm in 9 instances, 1036 cuts more than PSO-EDA in 14 instances, and 1021 cuts more than TSHEA in 9 instances. But for four instances, the cuts are lower than PSO-EDA and TSHEA. Besides, the statistical significance has also been tested using the Wilcoxon signed rank test to provide proof of the superior performance of the proposed method. In terms of solution quality, MC-HHO can produce outcomes that are quite competitive when compared to other related state-of-the-art algorithms. The objective of the max-cut problem is to cut any graph in such a way that the total weight of the edges that are cut off is maximum in both subsets of vertices that are divided due to the cut of the edges. Although it is an elementary graph partitioning problem, it is one of the most challenging combinatorial optimization-based problems, and tons of application areas make this problem highly admissible. Due to its admissibility, the problem is solved using the Harris Hawk Optimization algorithm (HHO). Though HHO effectively solved some engineering optimization problems, is sensitive to parameter settings and may converge slowly, potentially getting trapped in local optima. Thus, HHO and some additional operators are used to solve the max-cut problem. Crossover and refinement operators are used to modify the fitness of the hawk in such a way that they can provide precise results. A mutation mechanism along with an adjustment operator has improvised the outcome obtained from the updated hawk. To accept the potential result, the acceptance criterion has been used, and then the repair operator is applied in the proposed approach. The proposed system provided comparatively better outcomes on the G-set dataset than other state-of-the-art algorithms. It obtained 533 cuts more than the discrete cuckoo search algorithm in 9 instances, 1036 cuts more than PSO-EDA in 14 instances, and 1021 cuts more than TSHEA in 9 instances. But for four instances, the cuts are lower than PSO-EDA and TSHEA. Besides, the statistical significance has also been tested using the Wilcoxon signed rank test to provide proof of the superior performance of the proposed method. In terms of solution quality, MC-HHO can produce outcomes that are quite competitive when compared to other related state-of-the-art algorithms.The objective of the max-cut problem is to cut any graph in such a way that the total weight of the edges that are cut off is maximum in both subsets of vertices that are divided due to the cut of the edges. Although it is an elementary graph partitioning problem, it is one of the most challenging combinatorial optimization-based problems, and tons of application areas make this problem highly admissible. Due to its admissibility, the problem is solved using the Harris Hawk Optimization algorithm (HHO). Though HHO effectively solved some engineering optimization problems, is sensitive to parameter settings and may converge slowly, potentially getting trapped in local optima. Thus, HHO and some additional operators are used to solve the max-cut problem. Crossover and refinement operators are used to modify the fitness of the hawk in such a way that they can provide precise results. A mutation mechanism along with an adjustment operator has improvised the outcome obtained from the updated hawk. To accept the potential result, the acceptance criterion has been used, and then the repair operator is applied in the proposed approach. The proposed system provided comparatively better outcomes on the G-set dataset than other state-of-the-art algorithms. It obtained 533 cuts more than the discrete cuckoo search algorithm in 9 instances, 1036 cuts more than PSO-EDA in 14 instances, and 1021 cuts more than TSHEA in 9 instances. But for four instances, the cuts are lower than PSO-EDA and TSHEA. Besides, the statistical significance has also been tested using the Wilcoxon signed rank test to provide proof of the superior performance of the proposed method. In terms of solution quality, MC-HHO can produce outcomes that are quite competitive when compared to other related state-of-the-art algorithms.
Audience	Academic
Author	Islam, Md. Shahidul Anam, Md. Asif Boni, Pritam Khan Sarker, Aldrin Saurov Islam, Md. Rafiqul
AuthorAffiliation	2 Department of Computer Science and Engineering, University of Asia Pacific, Dhaka, Bangladesh Nottingham Trent University School of Science and Technology, UNITED KINGDOM OF GREAT BRITAIN AND NORTHERN IRELAND 3 Computer Science and Engineering Discipline, Khulna University, Khulna, Bangladesh 1 Department of Computer Science, American International University - Bangladesh, Dhaka, Bangladesh
AuthorAffiliation_xml	– name: 3 Computer Science and Engineering Discipline, Khulna University, Khulna, Bangladesh – name: 2 Department of Computer Science and Engineering, University of Asia Pacific, Dhaka, Bangladesh – name: 1 Department of Computer Science, American International University - Bangladesh, Dhaka, Bangladesh – name: Nottingham Trent University School of Science and Technology, UNITED KINGDOM OF GREAT BRITAIN AND NORTHERN IRELAND
Author_xml	– sequence: 1 givenname: Md. Rafiqul orcidid: 0000-0002-0777-6747 surname: Islam fullname: Islam, Md. Rafiqul – sequence: 2 givenname: Md. Shahidul orcidid: 0000-0003-1159-8688 surname: Islam fullname: Islam, Md. Shahidul – sequence: 3 givenname: Pritam Khan surname: Boni fullname: Boni, Pritam Khan – sequence: 4 givenname: Aldrin Saurov surname: Sarker fullname: Sarker, Aldrin Saurov – sequence: 5 givenname: Md. Asif surname: Anam fullname: Anam, Md. Asif
BackLink	https://www.ncbi.nlm.nih.gov/pubmed/39775266$$D View this record in MEDLINE/PubMed
BookMark	eNqNk12LEzEUhgdZcT_0H4gOCKIXrckkkw9vZFnUFhYKrnobMpnMNDUz6SaZdfXXm3Zb6SyLSC4STp73Tc7hnNPsqHe9zrLnEEwhovDdyg2-l3a6TuEpQLBkuHiUnUCOigkpADo6OB9npyGsACgRI-RJdow4pWVByEk2u3L2xvRtHpc67-St6YYuV0PM195VVnf5EDa3M-m9CWn7-SNfrKPpzG8ZjetzaVvnTVx2T7PHjbRBP9vtZ9m3Tx-_Xswml4vP84vzy4kiHMVJRSktSI0VKBtcVwVVBQIVaWqmmYQYKl43ZQVrSiraMAwgrrAGvCh5CRqFIDrLXt75rq0LYleEIFL-ABUlRCwR8zuidnIl1t500v8SThqxDTjfCumjUVYLhBmBXHFNG4wprhgHvCpRSWutGOY4eX3YvTZUna6V7qOXdmQ6vunNUrTuRkBIGKbb_77ZOXh3PegQRWeC0tbKXrth-3HEKCkxSeire-jD6e2oVqYMTN-49LDamIpzVkCGaMlRoqYPUGnVujMqtUxjUnwkeDsSJCbq29jKIQQxv_ry_-zi-5h9fcAutbRxGZwdNt0TxuCLw1L_rfG-VxPw_g5Q3oXgdSOUidsuTKkZKyAQm8HYF01sBkPsBiOJ8T3x3v-fsj-DaRAO
CitedBy_id	crossref_primary_10_3390_math13091409 crossref_primary_10_1038_s41598_025_96986_5
Cites_doi	10.1016/0167-6377(81)90020-1 10.1007/978-3-642-12538-6_6 10.1109/NABIC.2009.5393690 10.1016/j.advengsoft.2013.12.007 10.1117/12.141755 10.1016/j.eswa.2021.115805 10.1016/j.asoc.2015.04.033 10.1109/3477.484436 10.1016/j.eswa.2020.113428 10.1007/s00500-019-04106-z 10.1145/321958.321975 10.1016/j.enconman.2020.113211 10.1016/j.solener.2018.10.050 10.1109/TEVC.2009.2033580 10.1007/11893318_21 10.1287/ijoc.1080.0275 10.1007/978-3-642-32964-7_30 10.1137/S1052623497328987 10.1016/j.cor.2007.10.001 10.1287/opre.36.3.493 10.1126/science.220.4598.671 10.1007/978-3-030-64583-0_47 10.1016/j.future.2019.02.028 10.1080/1055678021000090033 10.1007/s11047-007-9050-z 10.1016/j.ejor.2008.07.026 10.1016/0166-218X(94)00155-7 10.1016/j.advengsoft.2016.01.008 10.1016/j.knosys.2023.110494 10.1016/j.pnsc.2008.04.006 10.1016/j.knosys.2019.01.023 10.1007/978-3-319-68121-4_7 10.1007/s10732-011-9189-8 10.1002/j.1538-7305.1970.tb01770.x 10.1145/227683.227684 10.1016/0305-0548(86)90048-1 10.1007/s10586-021-03304-5 10.1137/S1052623400382467 10.1007/s00521-022-07241-1 10.1007/s11128-024-04286-0 10.1016/j.orl.2021.02.006 10.1016/j.asoc.2017.04.018 10.1109/ICNN.1995.488968 10.3390/math8020298 10.7551/mitpress/1090.001.0001 10.1016/j.eswa.2021.114901
ContentType	Journal Article
Copyright	Copyright: © 2024 Islam et al. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. COPYRIGHT 2024 Public Library of Science 2024 Islam et al. This is an open access article distributed under the terms of the Creative Commons Attribution License: http://creativecommons.org/licenses/by/4.0/ (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. 2024 Islam et al 2024 Islam et al 2024 Islam et al. This is an open access article distributed under the terms of the Creative Commons Attribution License: http://creativecommons.org/licenses/by/4.0/ (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
Copyright_xml	– notice: Copyright: © 2024 Islam et al. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. – notice: COPYRIGHT 2024 Public Library of Science – notice: 2024 Islam et al. This is an open access article distributed under the terms of the Creative Commons Attribution License: http://creativecommons.org/licenses/by/4.0/ (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. – notice: 2024 Islam et al 2024 Islam et al – notice: 2024 Islam et al. This is an open access article distributed under the terms of the Creative Commons Attribution License: http://creativecommons.org/licenses/by/4.0/ (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
DBID	AAYXX CITATION CGR CUY CVF ECM EIF NPM IOV ISR 3V. 7QG 7QL 7QO 7RV 7SN 7SS 7T5 7TG 7TM 7U9 7X2 7X7 7XB 88E 8AO 8C1 8FD 8FE 8FG 8FH 8FI 8FJ 8FK ABJCF ABUWG AEUYN AFKRA ARAPS ATCPS AZQEC BBNVY BENPR BGLVJ BHPHI C1K CCPQU COVID D1I DWQXO FR3 FYUFA GHDGH GNUQQ H94 HCIFZ K9. KB. KB0 KL. L6V LK8 M0K M0S M1P M7N M7P M7S NAPCQ P5Z P62 P64 PATMY PDBOC PHGZM PHGZT PIMPY PJZUB PKEHL PPXIY PQEST PQGLB PQQKQ PQUKI PRINS PTHSS PYCSY RC3 7X8 5PM DOA
DOI	10.1371/journal.pone.0315842
DatabaseName	CrossRef Medline MEDLINE MEDLINE (Ovid) MEDLINE MEDLINE PubMed Gale In Context: Opposing Viewpoints Gale In Context: Science ProQuest Central (Corporate) Animal Behavior Abstracts Bacteriology Abstracts (Microbiology B) Biotechnology Research Abstracts Nursing & Allied Health Database Ecology Abstracts Entomology Abstracts (Full archive) Immunology Abstracts Meteorological & Geoastrophysical Abstracts Nucleic Acids Abstracts Virology and AIDS Abstracts Agricultural Science Collection Health & Medical Collection ProQuest Central (purchase pre-March 2016) Medical Database (Alumni Edition) ProQuest Pharma Collection Public Health Database Technology Research Database ProQuest SciTech Collection ProQuest Technology Collection ProQuest Natural Science Collection Hospital Premium Collection Hospital Premium Collection (Alumni Edition) ProQuest Central (Alumni) (purchase pre-March 2016) Materials Science & Engineering Collection ProQuest Central (Alumni) One Sustainability ProQuest Central UK/Ireland Advanced Technologies & Computer Science Collection Agricultural & Environmental Science Collection ProQuest Central Essentials Local Electronic Collection Information Biological Science Collection ProQuest Central Technology collection Natural Science Collection Environmental Sciences and Pollution Management ProQuest One Community College Coronavirus Research Database ProQuest Materials Science Collection ProQuest Central Engineering Research Database Health Research Premium Collection Health Research Premium Collection (Alumni) ProQuest Central Student AIDS and Cancer Research Abstracts ProQuest SciTech Premium Collection ProQuest Health & Medical Complete (Alumni) Materials Science Database Nursing & Allied Health Database (Alumni Edition) Meteorological & Geoastrophysical Abstracts - Academic ProQuest Engineering Collection ProQuest Biological Science Collection Agricultural Science Database Health & Medical Collection (Alumni Edition) PML(ProQuest Medical Library) Algology Mycology and Protozoology Abstracts (Microbiology C) Biological Science Database Engineering Database (subscription) Nursing & Allied Health Premium Advanced Technologies & Aerospace Database ProQuest Advanced Technologies & Aerospace Collection Biotechnology and BioEngineering Abstracts Environmental Science Database (subscripiton) Materials Science Collection ProQuest Databases ProQuest One Academic Publicly Available Content Database ProQuest Health & Medical Research Collection ProQuest One Academic Middle East (New) One Health & Nursing ProQuest One Academic Eastern Edition (DO NOT USE) One Applied & Life Sciences ProQuest One Academic (retired) ProQuest One Academic UKI Edition ProQuest Central China Engineering Collection Environmental Science Collection Genetics Abstracts MEDLINE - Academic PubMed Central (Full Participant titles) DOAJ Directory of Open Access Journals
DatabaseTitle	CrossRef MEDLINE Medline Complete MEDLINE with Full Text PubMed MEDLINE (Ovid) Agricultural Science Database Publicly Available Content Database ProQuest Central Student ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Essentials Nucleic Acids Abstracts SciTech Premium Collection ProQuest Central China Environmental Sciences and Pollution Management ProQuest One Applied & Life Sciences ProQuest One Sustainability Health Research Premium Collection Meteorological & Geoastrophysical Abstracts Natural Science Collection Health & Medical Research Collection Biological Science Collection ProQuest Central (New) ProQuest Medical Library (Alumni) Engineering Collection Advanced Technologies & Aerospace Collection Engineering Database Virology and AIDS Abstracts ProQuest Biological Science Collection ProQuest One Academic Eastern Edition Agricultural Science Collection Coronavirus Research Database ProQuest Hospital Collection ProQuest Technology Collection Health Research Premium Collection (Alumni) Biological Science Database Ecology Abstracts ProQuest Hospital Collection (Alumni) Biotechnology and BioEngineering Abstracts Environmental Science Collection Entomology Abstracts Nursing & Allied Health Premium ProQuest Health & Medical Complete ProQuest One Academic UKI Edition Environmental Science Database ProQuest Nursing & Allied Health Source (Alumni) Engineering Research Database ProQuest One Academic Meteorological & Geoastrophysical Abstracts - Academic ProQuest One Academic (New) Technology Collection Technology Research Database ProQuest One Academic Middle East (New) Materials Science Collection ProQuest Health & Medical Complete (Alumni) ProQuest Central (Alumni Edition) ProQuest One Community College ProQuest One Health & Nursing ProQuest Natural Science Collection ProQuest Pharma Collection ProQuest Central ProQuest Health & Medical Research Collection Genetics Abstracts ProQuest Engineering Collection Biotechnology Research Abstracts Health and Medicine Complete (Alumni Edition) ProQuest Central Korea Bacteriology Abstracts (Microbiology B) Algology Mycology and Protozoology Abstracts (Microbiology C) Agricultural & Environmental Science Collection AIDS and Cancer Research Abstracts Materials Science Database ProQuest Materials Science Collection ProQuest Public Health ProQuest Nursing & Allied Health Source ProQuest SciTech Collection Advanced Technologies & Aerospace Database ProQuest Medical Library Animal Behavior Abstracts Materials Science & Engineering Collection Immunology Abstracts ProQuest Central (Alumni) MEDLINE - Academic
DatabaseTitleList	CrossRef Agricultural Science Database MEDLINE MEDLINE - Academic
Database_xml	– sequence: 1 dbid: DOA name: DOAJ Directory of Open Access Journals url: https://www.doaj.org/ sourceTypes: Open Website – sequence: 2 dbid: NPM name: PubMed url: http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?db=PubMed sourceTypes: Index Database – sequence: 3 dbid: PIMPY name: Publicly Available Content Database url: http://search.proquest.com/publiccontent sourceTypes: Aggregation Database
DeliveryMethod	fulltext_linktorsrc
Discipline	Sciences (General)
DocumentTitleAlternate	Maximum cut problem using Harris Hawk Optimization
EISSN	1932-6203
ExternalDocumentID	3150325138 oai_doaj_org_article_348619c9e7f4474b8909b5357dec8494 PMC11684731 A821837593 39775266 10_1371_journal_pone_0315842
Genre	Journal Article
GeographicLocations	Bangladesh
GeographicLocations_xml	– name: Bangladesh
GroupedDBID	--- 123 29O 2WC 53G 5VS 7RV 7X2 7X7 7XC 88E 8AO 8C1 8CJ 8FE 8FG 8FH 8FI 8FJ A8Z AAFWJ AAUCC AAWOE AAYXX ABDBF ABIVO ABJCF ABUWG ACCTH ACGFO ACIHN ACIWK ACPRK ACUHS ADBBV AEAQA AENEX AEUYN AFFHD AFKRA AFPKN AFRAH AHMBA ALMA_UNASSIGNED_HOLDINGS AOIJS APEBS ARAPS ATCPS BAIFH BAWUL BBNVY BBTPI BCNDV BENPR BGLVJ BHPHI BKEYQ BPHCQ BVXVI BWKFM CCPQU CITATION CS3 D1I D1J D1K DIK DU5 E3Z EAP EAS EBD EMOBN ESX EX3 F5P FPL FYUFA GROUPED_DOAJ GX1 HCIFZ HH5 HMCUK HYE IAO IEA IGS IHR IHW INH INR IOV IPY ISE ISR ITC K6- KB. KQ8 L6V LK5 LK8 M0K M1P M48 M7P M7R M7S M~E NAPCQ O5R O5S OK1 OVT P2P P62 PATMY PDBOC PHGZM PHGZT PIMPY PJZUB PPXIY PQGLB PQQKQ PROAC PSQYO PTHSS PV9 PYCSY RNS RPM RZL SV3 TR2 UKHRP WOQ WOW ~02 ~KM ADRAZ ALIPV CGR CUY CVF ECM EIF IPNFZ NPM RIG BBORY 3V. 7QG 7QL 7QO 7SN 7SS 7T5 7TG 7TM 7U9 7XB 8FD 8FK AZQEC C1K COVID DWQXO ESTFP FR3 GNUQQ H94 K9. KL. M7N P64 PKEHL PQEST PQUKI PRINS RC3 7X8 5PM
ID	FETCH-LOGICAL-c693t-b77726d4c05f4db27c230b6fd8e8a141c9df5b1d76b7f84014b4e0925950fc313
IEDL.DBID	FPL
ISICitedReferencesCount	2
ISICitedReferencesURI	http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=001421431200065&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN	1932-6203
IngestDate	Wed Aug 13 01:19:14 EDT 2025 Tue Oct 14 18:49:21 EDT 2025 Tue Nov 04 02:03:29 EST 2025 Sun Nov 09 12:57:16 EST 2025 Tue Oct 07 08:05:13 EDT 2025 Sat Nov 29 13:49:07 EST 2025 Sat Nov 29 10:30:09 EST 2025 Wed Nov 26 10:45:35 EST 2025 Wed Nov 26 10:45:29 EST 2025 Thu May 22 21:23:36 EDT 2025 Mon Jul 21 05:47:04 EDT 2025 Sat Nov 29 03:55:49 EST 2025 Tue Nov 18 21:39:38 EST 2025
IsDoiOpenAccess	true
IsOpenAccess	true
IsPeerReviewed	true
IsScholarly	true
Issue	12
Language	English
License	Copyright: © 2024 Islam et al. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Creative Commons Attribution License
LinkModel	DirectLink
MergedId	FETCHMERGED-LOGICAL-c693t-b77726d4c05f4db27c230b6fd8e8a141c9df5b1d76b7f84014b4e0925950fc313
Notes	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 content type line 23 Competing Interests: The authors have declared that no competing interests exist. ASS and MAA also contributed equally to this work.
ORCID	0000-0002-0777-6747 0000-0003-1159-8688
OpenAccessLink	http://dx.doi.org/10.1371/journal.pone.0315842
PMID	39775266
PQID	3150325138
PQPubID	1436336
PageCount	e0315842
ParticipantIDs	plos_journals_3150325138 doaj_primary_oai_doaj_org_article_348619c9e7f4474b8909b5357dec8494 pubmedcentral_primary_oai_pubmedcentral_nih_gov_11684731 proquest_miscellaneous_3153876546 proquest_journals_3150325138 gale_infotracmisc_A821837593 gale_infotracacademiconefile_A821837593 gale_incontextgauss_ISR_A821837593 gale_incontextgauss_IOV_A821837593 gale_healthsolutions_A821837593 pubmed_primary_39775266 crossref_citationtrail_10_1371_journal_pone_0315842 crossref_primary_10_1371_journal_pone_0315842
PublicationCentury	2000
PublicationDate	2024-12-30
PublicationDateYYYYMMDD	2024-12-30
PublicationDate_xml	– month: 12 year: 2024 text: 2024-12-30 day: 30
PublicationDecade	2020
PublicationPlace	United States
PublicationPlace_xml	– name: United States – name: San Francisco – name: San Francisco, CA USA
PublicationTitle	PloS one
PublicationTitleAlternate	PLoS One
PublicationYear	2024
Publisher	Public Library of Science Public Library of Science (PLoS)
Publisher_xml	– name: Public Library of Science – name: Public Library of Science (PLoS)
References	A Banks (pone.0315842.ref019) 2008; 7 M Grötschel (pone.0315842.ref012) 1981; 1 G Xiong (pone.0315842.ref055) 2018; 176 C Helmberg (pone.0315842.ref056) 2000; 10 N Kardani (pone.0315842.ref052) 2022 S Poljak (pone.0315842.ref014) 1995; 62 L Gao (pone.0315842.ref031) 2008; 18 Y Liu (pone.0315842.ref051) 2020; 223 E Bae (pone.0315842.ref034) 2024; 23 AA Heidari (pone.0315842.ref038) 2019; 97 S Burer (pone.0315842.ref010) 2002; 12 XS Yang (pone.0315842.ref045) 2010 JH Holland (pone.0315842.ref035) 1992 R Martí (pone.0315842.ref030) 2009; 21 HM Balaha (pone.0315842.ref022) 2021; 186 GA Kochenberger (pone.0315842.ref009) 2013; 19 BW Kernighan (pone.0315842.ref048) 1970; 49 S Kirkpatrick (pone.0315842.ref036) 1983; 220 HM Balaha (pone.0315842.ref025) 2022; 34 S Gu (pone.0315842.ref032) 2020; 8 SS Jadon (pone.0315842.ref054) 2017; 58 pone.0315842.ref020 M Laguna (pone.0315842.ref005) 2009; 36 AF Ling (pone.0315842.ref011) 2009; 197 S Sahni (pone.0315842.ref028) 1976; 23 G Lin (pone.0315842.ref017) 2016; 2016 AY Lam (pone.0315842.ref039) 2009; 14 DT Akl (pone.0315842.ref049) 2024 MX Goemans (pone.0315842.ref029) 1995; 42 XS Yang (pone.0315842.ref047) 2010 F Glover (pone.0315842.ref041) 1986; 13 pone.0315842.ref057 XS Yang (pone.0315842.ref040) 2010 R Hassin (pone.0315842.ref033) 2021; 49 S Mirjalili (pone.0315842.ref044) 2014; 69 R Martí (pone.0315842.ref008) 2009; 21 pone.0315842.ref016 pone.0315842.ref018 S Mirjalili (pone.0315842.ref046) 2016; 95 H Fahmy (pone.0315842.ref023) 2023; 269 E Rodríguez-Esparza (pone.0315842.ref021) 2020; 155 CW Commander (pone.0315842.ref027) 2009 F Barahona (pone.0315842.ref003) 1988; 36 pone.0315842.ref001 pone.0315842.ref002 Q Wu (pone.0315842.ref015) 2015; 34 FS Gharehchopogh (pone.0315842.ref050) 2022; 25 P Festa (pone.0315842.ref013) 2002; 17 EM El-Gendy (pone.0315842.ref026) 2020; 24 pone.0315842.ref042 pone.0315842.ref043 MM Saafan (pone.0315842.ref024) 2021; 176 pone.0315842.ref004 M Dorigo (pone.0315842.ref037) 1996; 26 M Abd Elaziz (pone.0315842.ref053) 2019; 169 pone.0315842.ref006 pone.0315842.ref007
References_xml	– volume: 1 start-page: 23 issue: 1 year: 1981 ident: pone.0315842.ref012 article-title: Weakly bipartite graphs and the max-cut problem publication-title: Operations research letters doi: 10.1016/0167-6377(81)90020-1 – start-page: 65 volume-title: Nature inspired cooperative strategies for optimization (NICSO 2010) year: 2010 ident: pone.0315842.ref045 doi: 10.1007/978-3-642-12538-6_6 – ident: pone.0315842.ref042 doi: 10.1109/NABIC.2009.5393690 – volume: 69 start-page: 46 year: 2014 ident: pone.0315842.ref044 article-title: Grey wolf optimizer publication-title: Advances in engineering software doi: 10.1016/j.advengsoft.2013.12.007 – ident: pone.0315842.ref007 doi: 10.1117/12.141755 – volume: 186 start-page: 115805 year: 2021 ident: pone.0315842.ref022 article-title: CovH2SD: A COVID-19 detection approach based on Harris Hawks Optimization and stacked deep learning publication-title: Expert systems with applications doi: 10.1016/j.eswa.2021.115805 – volume: 34 start-page: 827 year: 2015 ident: pone.0315842.ref015 article-title: A tabu search based hybrid evolutionary algorithm for the max-cut problem publication-title: Applied Soft Computing doi: 10.1016/j.asoc.2015.04.033 – start-page: 1 year: 2024 ident: pone.0315842.ref049 article-title: IHHO: an improved Harris Hawks optimization algorithm for solving engineering problems publication-title: Neural Computing and Applications – volume: 26 start-page: 1 issue: 1 year: 1996 ident: pone.0315842.ref037 article-title: The Any System Optimization by a colony of cooperating agents publication-title: IEEE Trans System, Man & Cybernetics-Part B doi: 10.1109/3477.484436 – volume: 155 start-page: 113428 year: 2020 ident: pone.0315842.ref021 article-title: An efficient Harris hawks-inspired image segmentation method publication-title: Expert Systems with Applications doi: 10.1016/j.eswa.2020.113428 – start-page: 1 year: 2022 ident: pone.0315842.ref052 article-title: A novel improved Harris Hawks optimization algorithm coupled with ELM for predicting permeability of tight carbonates publication-title: Engineering with Computers – volume: 24 start-page: 3455 issue: 5 year: 2020 ident: pone.0315842.ref026 article-title: Applying hybrid genetic–PSO technique for tuning an adaptive PID controller used in a chemical process publication-title: Soft Computing doi: 10.1007/s00500-019-04106-z – volume: 23 start-page: 555 issue: 3 year: 1976 ident: pone.0315842.ref028 article-title: P-complete approximation problems publication-title: Journal of the ACM (JACM) doi: 10.1145/321958.321975 – volume: 223 start-page: 113211 year: 2020 ident: pone.0315842.ref051 article-title: Horizontal and vertical crossover of Harris hawk optimizer with Nelder-Mead simplex for parameter estimation of photovoltaic models publication-title: Energy Conversion and Management doi: 10.1016/j.enconman.2020.113211 – volume: 176 start-page: 742 year: 2018 ident: pone.0315842.ref055 article-title: Parameter extraction of solar photovoltaic models by means of a hybrid differential evolution with whale optimization algorithm publication-title: Solar Energy doi: 10.1016/j.solener.2018.10.050 – volume: 14 start-page: 381 issue: 3 year: 2009 ident: pone.0315842.ref039 article-title: Chemical-reaction-inspired metaheuristic for optimization publication-title: IEEE transactions on evolutionary computation doi: 10.1109/TEVC.2009.2033580 – ident: pone.0315842.ref004 doi: 10.1007/11893318_21 – volume: 21 start-page: 26 issue: 1 year: 2009 ident: pone.0315842.ref008 article-title: Advanced scatter search for the max-cut problem publication-title: INFORMS Journal on Computing doi: 10.1287/ijoc.1080.0275 – start-page: 2 volume-title: Encyclopedia of Optimization year: 2009 ident: pone.0315842.ref027 – ident: pone.0315842.ref016 doi: 10.1007/978-3-642-32964-7_30 – volume-title: Nature-inspired metaheuristic algorithms year: 2010 ident: pone.0315842.ref047 – ident: pone.0315842.ref002 – volume: 2016 start-page: 3420671 issue: 1 year: 2016 ident: pone.0315842.ref017 article-title: An Integrated Method Based on PSO and EDA for the Max-Cut Problem publication-title: Computational intelligence and neuroscience – volume: 10 start-page: 673 issue: 3 year: 2000 ident: pone.0315842.ref056 article-title: A spectral bundle method for semidefinite programming publication-title: SIAM Journal on Optimization doi: 10.1137/S1052623497328987 – volume: 36 start-page: 487 issue: 2 year: 2009 ident: pone.0315842.ref005 article-title: Hybridizing the cross-entropy method: An application to the max-cut problem publication-title: Computers & Operations Research doi: 10.1016/j.cor.2007.10.001 – volume: 36 start-page: 493 issue: 3 year: 1988 ident: pone.0315842.ref003 article-title: An application of combinatorial optimization to statistical physics and circuit layout design publication-title: Operations Research doi: 10.1287/opre.36.3.493 – volume: 220 start-page: 671 issue: 4598 year: 1983 ident: pone.0315842.ref036 article-title: Optimization by simulated annealing publication-title: science doi: 10.1126/science.220.4598.671 – ident: pone.0315842.ref006 doi: 10.1007/978-3-030-64583-0_47 – volume: 97 start-page: 849 year: 2019 ident: pone.0315842.ref038 article-title: Harris hawks optimization: Algorithm and applications publication-title: Future generation computer systems doi: 10.1016/j.future.2019.02.028 – volume: 17 start-page: 1033 issue: 6 year: 2002 ident: pone.0315842.ref013 article-title: Randomized heuristics for the MAX-CUT problem publication-title: Optimization methods and software doi: 10.1080/1055678021000090033 – volume: 7 start-page: 109 year: 2008 ident: pone.0315842.ref019 article-title: A review of particle swarm optimization. Part II: hybridisation, combinatorial, multicriteria and constrained optimization, and indicative applications publication-title: Natural Computing doi: 10.1007/s11047-007-9050-z – volume: 197 start-page: 519 issue: 2 year: 2009 ident: pone.0315842.ref011 article-title: A discrete filled function algorithm embedded with continuous approximation for solving max-cut problems publication-title: European Journal of Operational Research doi: 10.1016/j.ejor.2008.07.026 – volume: 62 start-page: 249 issue: 1-3 year: 1995 ident: pone.0315842.ref014 article-title: Solving the max-cut problem using eigenvalues publication-title: Discrete Applied Mathematics doi: 10.1016/0166-218X(94)00155-7 – ident: pone.0315842.ref020 – volume: 95 start-page: 51 year: 2016 ident: pone.0315842.ref046 article-title: The whale optimization algorithm publication-title: Advances in engineering software doi: 10.1016/j.advengsoft.2016.01.008 – volume: 269 start-page: 110494 year: 2023 ident: pone.0315842.ref023 article-title: ECH3OA: an enhanced chimp-harris hawks optimization algorithm for copyright protection in Color images using watermarking techniques publication-title: Knowledge-Based Systems doi: 10.1016/j.knosys.2023.110494 – volume: 18 start-page: 1173 issue: 9 year: 2008 ident: pone.0315842.ref031 article-title: An ant colony algorithm for solving Max-cut problem publication-title: Progress in Natural Science doi: 10.1016/j.pnsc.2008.04.006 – volume: 169 start-page: 39 year: 2019 ident: pone.0315842.ref053 article-title: Task scheduling in cloud computing based on hybrid moth search algorithm and differential evolution publication-title: Knowledge-Based Systems doi: 10.1016/j.knosys.2019.01.023 – ident: pone.0315842.ref057 doi: 10.1007/978-3-319-68121-4_7 – volume: 19 start-page: 565 year: 2013 ident: pone.0315842.ref009 article-title: Solving large scale max cut problems via tabu search publication-title: Journal of Heuristics doi: 10.1007/s10732-011-9189-8 – volume: 49 start-page: 291 issue: 2 year: 1970 ident: pone.0315842.ref048 article-title: An efficient heuristic procedure for partitioning graphs publication-title: The Bell system technical journal doi: 10.1002/j.1538-7305.1970.tb01770.x – volume: 42 start-page: 1115 issue: 6 year: 1995 ident: pone.0315842.ref029 article-title: Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming publication-title: Journal of the ACM (JACM) doi: 10.1145/227683.227684 – volume: 13 start-page: 533 issue: 5 year: 1986 ident: pone.0315842.ref041 article-title: Future paths for integer programming and links to artificial intelligence publication-title: Computers & operations research doi: 10.1016/0305-0548(86)90048-1 – volume: 25 start-page: 1981 issue: 3 year: 2022 ident: pone.0315842.ref050 article-title: An efficient harris hawk optimization algorithm for solving the travelling salesman problem publication-title: Cluster Computing doi: 10.1007/s10586-021-03304-5 – volume: 12 start-page: 503 issue: 2 year: 2002 ident: pone.0315842.ref010 article-title: Rank-two relaxation heuristics for max-cut and other binary quadratic programs publication-title: SIAM Journal on Optimization doi: 10.1137/S1052623400382467 – volume: 34 start-page: 15907 issue: 18 year: 2022 ident: pone.0315842.ref025 article-title: A multi-variate heart disease optimization and recognition framework publication-title: Neural Computing and Applications doi: 10.1007/s00521-022-07241-1 – volume: 23 start-page: 78 issue: 3 year: 2024 ident: pone.0315842.ref034 article-title: Recursive QAOA outperforms the original QAOA for the MAX-CUT problem on complete graphs publication-title: Quantum Information Processing doi: 10.1007/s11128-024-04286-0 – volume: 49 start-page: 320 issue: 3 year: 2021 ident: pone.0315842.ref033 article-title: Greedy differencing edge-contraction heuristic for the max-cut problem publication-title: Operations Research Letters doi: 10.1016/j.orl.2021.02.006 – volume: 58 start-page: 11 year: 2017 ident: pone.0315842.ref054 article-title: Hybrid artificial bee colony algorithm with differential evolution publication-title: Applied Soft Computing doi: 10.1016/j.asoc.2017.04.018 – ident: pone.0315842.ref018 doi: 10.1109/ICNN.1995.488968 – ident: pone.0315842.ref043 – volume: 8 start-page: 298 issue: 2 year: 2020 ident: pone.0315842.ref032 article-title: A deep learning algorithm for the max-cut problem based on pointer network structure with supervised learning and reinforcement learning strategies publication-title: Mathematics doi: 10.3390/math8020298 – volume-title: Adaptation in natural and artificial systems: an introductory analysis with applications to biology, control, and artificial intelligence year: 1992 ident: pone.0315842.ref035 doi: 10.7551/mitpress/1090.001.0001 – volume: 176 start-page: 114901 year: 2021 ident: pone.0315842.ref024 article-title: IWOSSA: An improved whale optimization salp swarm algorithm for solving optimization problems publication-title: Expert systems with applications doi: 10.1016/j.eswa.2021.114901 – volume-title: Nature-inspired metaheuristic algorithms year: 2010 ident: pone.0315842.ref040 – ident: pone.0315842.ref001 – volume: 21 start-page: 26 issue: 1 year: 2009 ident: pone.0315842.ref030 article-title: Advanced scatter search for the max-cut problem publication-title: INFORMS Journal on Computing doi: 10.1287/ijoc.1080.0275
SSID	ssj0053866
Score	2.4839272
Snippet	The objective of the max-cut problem is to cut any graph in such a way that the total weight of the edges that are cut off is maximum in both subsets of...
SourceID	plos doaj pubmedcentral proquest gale pubmed crossref
SourceType	Open Website Open Access Repository Aggregation Database Index Database Enrichment Source
StartPage	e0315842
SubjectTerms	Acceptance criteria Algorithms Analysis Apexes Biology and Life Sciences Chemical reactions Combinatorial analysis Computer and Information Sciences Computer Simulation Ecology and Environmental Sciences Eigenvalues Genetic algorithms Graph theory Hawks Health aspects Heuristic Mathematical optimization Observations Operators Optimization Optimization algorithms Parameter estimation Parameter modification Parameter sensitivity Physical Sciences Rank tests Research and Analysis Methods Search algorithms
SummonAdditionalLinks	– databaseName: DOAJ Directory of Open Access Journals dbid: DOA link: http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV1Nb9QwELXQigMXRMtHAy0YhAQc0ibx97EgqkVCLaJQ9RYldrJdsUlWmwT4-Ywdb9SgSuXAKdJ6EmWfZ-w3u-M3CL1mWrEsUSZkMjGhbbYdSti4Q2CvmnNFZOJ0ui8-i9NTeXmpvlxr9WVrwgZ54AG4I0IlcHytClFSKmguVaRyRpgwhZZUOSXQSKhtMjWswRDFnPuDckTER35eDtdNXRzavgaSJpONyOn1j6vybL1q2pso59-Vk9e2opMH6L7nkPh4ePcddKeod9GOj9IWv_VS0u8eovl5s7K_GGCgebjKfi-rvsK677DvI4Nt2fsCz7MNxDpcfv3AZ7CGVP5wJs5Wi2az7K6qR-j7ycdvH-ah750QakC4C3MBtJkbqiNWUpMnQkOukfPSyEJmMY21MiXLYyN4LkpI8mKa0yJSkAyxqNQkJo_RrAa09hCWsMVHWWQMXCiXeU6IprowVhuO8CwOENkCmWovLG77W6xS92-ZgARjwCW18Kce_gCF413rQVjjFvv3do5GWyuL7T4AZ0m9s6S3OUuAXtgZToczpmNwp8fWJYlgigTolbOw0hi1rb1ZZH3bpp_OLv7B6PzrxOiNNyobgENn_rwDfCcruTWx3J9YQoDryfCe9cctKm0KgEQEeCmRcOfWR28efjkO24faerq6aHpnQ2AfZJQH6Mng0iOyNiVgwNsCJCfOPoF-OlIvr5wyeRxzYDskfvo_JusZupcAg3SqmtE-mnWbvjhAd_XPbtlunrt4_wPW3FcN priority: 102 providerName: Directory of Open Access Journals – databaseName: Nursing & Allied Health Database dbid: 7RV link: http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV3db9MwELeg8MALY3wtY4BBSMBDtjh2_PGEBmIqEtrQBtXeosROuoo2KU0L_PncpW4gaAIkniLVl7a5O59_55x_R8izxJoki40LEx27EJtthxoW7hDQq5XScB23PN2j9-r4WJ-fmw9-w63xZZWbmNgGaldb3CM_4IBcOCzGXL-afwmxaxS-XfUtNK6SawyxMfizOh1tIjHMZSn9cTmu2IG3zv68rop97G6gRdxbjlrW_i42D-bTurkMeP5eP_nLgnS09b-Pcovc9FCUHq59Z5tcKarbZNtP9oa-8IzUL--Q4Vk9xY0HCmiRzrLvk9lqRu1qSX07GorV82M6zBYQMuDy7TM9gVA082c8aTYdw-8vL2Z3yaejtx_fDEPfgiG0YKhlmCtA39IJGyWlcHmsLKQsuSydLnTGBLPGlUnOnJK5KiFXZCIXRWQgp0qi0nLG75FBBereIVQDUoiyyDm4CKnznHMrbOGQYo7LjAWEbyyRWs9Pjm0ypmn70k1BnrLWS4r2S739AhJ2d83X_Bx_kX-NRu5kkV27_aBejFM_WVMuNOSV1hSqFEKJXJvI5AlPlCusFkYE5DG6SLo-qtrFiPQQPZurxPCAPG0lkGGjwhKecbZqmvTdyegfhM5Oe0LPvVBZgzps5o9NwDMhc1dPcq8nCXHC9oZ30KE3WmnSn24Id24c9fLhJ90wfimW5VVFvWplOCyniZABub-eE51mMbNIAP4FRPdmS0_1_ZFqctESnDMmATRxtvvn__WA3IgBYra0m9EeGSwXq-IhuW6_LifN4lEbCn4AFmlmOw priority: 102 providerName: ProQuest
Title	Solving the maximum cut problem using Harris Hawk Optimization algorithm
URI	https://www.ncbi.nlm.nih.gov/pubmed/39775266 https://www.proquest.com/docview/3150325138 https://www.proquest.com/docview/3153876546 https://pubmed.ncbi.nlm.nih.gov/PMC11684731 https://doaj.org/article/348619c9e7f4474b8909b5357dec8494 http://dx.doi.org/10.1371/journal.pone.0315842
Volume	19
WOSCitedRecordID	wos001421431200065&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
hasFullText	1
inHoldings	1
isFullTextHit
isPrint
journalDatabaseRights	– providerCode: PRVAON databaseName: DOAJ Directory of Open Access Journals customDbUrl: eissn: 1932-6203 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0053866 issn: 1932-6203 databaseCode: DOA dateStart: 20060101 isFulltext: true titleUrlDefault: https://www.doaj.org/ providerName: Directory of Open Access Journals – providerCode: PRVHPJ databaseName: ROAD: Directory of Open Access Scholarly Resources customDbUrl: eissn: 1932-6203 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0053866 issn: 1932-6203 databaseCode: M~E dateStart: 20060101 isFulltext: true titleUrlDefault: https://road.issn.org providerName: ISSN International Centre – providerCode: PRVPQU databaseName: Advanced Technologies & Aerospace Database customDbUrl: eissn: 1932-6203 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0053866 issn: 1932-6203 databaseCode: P5Z dateStart: 20061201 isFulltext: true titleUrlDefault: https://search.proquest.com/hightechjournals providerName: ProQuest – providerCode: PRVPQU databaseName: Agricultural Science Database customDbUrl: eissn: 1932-6203 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0053866 issn: 1932-6203 databaseCode: M0K dateStart: 20061201 isFulltext: true titleUrlDefault: https://search.proquest.com/agriculturejournals providerName: ProQuest – providerCode: PRVPQU databaseName: Biological Science Database customDbUrl: eissn: 1932-6203 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0053866 issn: 1932-6203 databaseCode: M7P dateStart: 20061201 isFulltext: true titleUrlDefault: http://search.proquest.com/biologicalscijournals providerName: ProQuest – providerCode: PRVPQU databaseName: Engineering Database (subscription) customDbUrl: eissn: 1932-6203 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0053866 issn: 1932-6203 databaseCode: M7S dateStart: 20061201 isFulltext: true titleUrlDefault: http://search.proquest.com providerName: ProQuest – providerCode: PRVPQU databaseName: Environmental Science Database customDbUrl: eissn: 1932-6203 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0053866 issn: 1932-6203 databaseCode: PATMY dateStart: 20061201 isFulltext: true titleUrlDefault: http://search.proquest.com/environmentalscience providerName: ProQuest – providerCode: PRVPQU databaseName: Materials Science Database customDbUrl: eissn: 1932-6203 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0053866 issn: 1932-6203 databaseCode: KB. dateStart: 20061201 isFulltext: true titleUrlDefault: http://search.proquest.com/materialsscijournals providerName: ProQuest – providerCode: PRVPQU databaseName: Nursing & Allied Health Database customDbUrl: eissn: 1932-6203 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0053866 issn: 1932-6203 databaseCode: 7RV dateStart: 20061201 isFulltext: true titleUrlDefault: https://search.proquest.com/nahs providerName: ProQuest – providerCode: PRVPQU databaseName: ProQuest Central customDbUrl: eissn: 1932-6203 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0053866 issn: 1932-6203 databaseCode: BENPR dateStart: 20061201 isFulltext: true titleUrlDefault: https://www.proquest.com/central providerName: ProQuest – providerCode: PRVPQU databaseName: ProQuest Health & Medical Collection customDbUrl: eissn: 1932-6203 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0053866 issn: 1932-6203 databaseCode: 7X7 dateStart: 20061201 isFulltext: true titleUrlDefault: https://search.proquest.com/healthcomplete providerName: ProQuest – providerCode: PRVPQU databaseName: Public Health Database customDbUrl: eissn: 1932-6203 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0053866 issn: 1932-6203 databaseCode: 8C1 dateStart: 20061201 isFulltext: true titleUrlDefault: https://search.proquest.com/publichealth providerName: ProQuest – providerCode: PRVPQU databaseName: Publicly Available Content Database customDbUrl: eissn: 1932-6203 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0053866 issn: 1932-6203 databaseCode: PIMPY dateStart: 20061201 isFulltext: true titleUrlDefault: http://search.proquest.com/publiccontent providerName: ProQuest – providerCode: PRVATS databaseName: Public Library of Science (PLoS) Journals Open Access customDbUrl: eissn: 1932-6203 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0053866 issn: 1932-6203 databaseCode: FPL dateStart: 20060101 isFulltext: true titleUrlDefault: http://www.plos.org/publications/ providerName: Public Library of Science
link	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV3db9MwELeg44EXYHwtMEpASMBDShJ_5nGdVnXa1kUtVBsvUeIkXUWbVE0L_PmcXTeQaRPwcpHqc5X8fD7fJfbvEHpHZUBjP0gdKvzUUcW2HQELtwPRq2QswMLXPN3jUz4YiIuLIPydKF77go-598lg2lmURdZRNQkEAZe742PGVLLVC0-3nhfmLmPmeNxtPRvLj2bpr31xazErq5sCzev7Jf9YgHoP__fWH6EHJtS0Dza2sYvuZMVjtGsmc2V_MIzTH5-g_qicqRcLNkSD9jz-OZ2v57Zcr2xTbsZWu-Mndj9egkuAy49v9jm4mrk5w2nHs0m5nK6u5k_Rl97R58O-Y0osOBIGYuUkHKJrlhLp0pykic8lpCQJy1ORidgjngzSnCZeylnCc8gFPZKQzA0gZ6JuLrGHn6FWAU-3h2wBkYAbu2kKF8JEkmAsicxSRSGHWexZCG-Rj6ThH1dlMGaR_qjGIQ_Z4BIpuCIDl4Wcutdiw7_xF_2uGtRaV7Fn6x9gXCIzGSNMBOSNMsh4TggniQjcIKGY8jSTggTEQq-VSUSbo6i1D4gOlOViTgNsobdaQzFoFGqLziReV1V0fD7-B6XRsKH03ijlJcAhY3MsAp5JMXM1NPcbmuAHZKN5TxnwFpUqAkBcDOErFtBza9Q3N7-pm9Wfqm13RVautQ6G5ZISZqHnmzlQI6syBwrhnYVEY3Y0oG-2FNMrTWDueQyCIuy9uP2WX6L7PoSPmlLT3Uet1XKdvUL35PfVtFq20V0-HCt5wbUUIMWh10Y73aNBOGzrNytt7RxAnnQ7IM_cEyV5qOUIZEi_Qo_w-Cy8_AUcMWEN
linkProvider	Public Library of Science
linkToHtml	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1Lb9NAEF6VgAQXoLxqKHRBIMrBre3dtdcHhMqjStTQVrRUFRdj79ppRGKHOKHwp_iNzNjrgFEFXHrgZCk7drzjmW-_sXdmCHksVChiL9S2kJ62sdm2LWHhtoG9Kt8PmfSqOt1H_WB3Vx4fh_tL5HuTC4PbKhtMrIBaFwrfkW8yYC4MFmMmX0w-29g1Cr-uNi00arPYSb-dQshWPu-9huf7xPO23xy-6tqmq4Ct4L9ndhIAofQ1V47IuE68QAELT_xMy1TGLndVqDORuDrwkyCD8MflCU-dEMIE4WSKuQyue4Fc5Nxz0Iv2xYcG-QE7fN-k57HA3TTWsDEp8nQDuylI7rWWv6pLwGIt6ExGRXkW0f19v-YvC-D2tf9NddfJVUO16VbtG8tkKc1vkGUDZiVdNxW3n90k3YNihC9WKLBhOo6_DsfzMVXzGTXtdihmBwxoN54CJMLh9BPdA6gdmxxWGo8GMN_ZyfgWeX8uM7pNOjk83hVCJTAhJ3a0hgP3ZZIwprhKNZbQY37sWoQ1Tz5Spv46tgEZRdVHxQDisFovEdpLZOzFIvbirEldf-Qv8i_RqBayWD28-qGYDiIDRhHjEuJmFaZBxnnAExk6YSKYCHSqJA-5RdbQJKM6FXeBgdEWei4LRMgs8qiSwAoiOW5RGsTzsox6e0f_IHTwriX01AhlBahDxSYtBOaElclakqstScBB1RpeQQdqtFJGP80ezmwc4-zhh4thvChuO8zTYl7JMKALgvsWuVP74EKzGDkJoLcWkS3vbKm-PZIPT6oC7q7rAylk7t0_39caudw9fNuP-r3dnXvkigd0uiox6qySzmw6T--TS-rLbFhOH1QwRMnH83beH5wHwk0
linkToPdf	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V3Nb9MwFLdGQYgLML4WGMwgEHDImsR27BwQGoyq1aauYjBNXEJiJ11Fm5SmZfCv8dfxnDiBoAm47MApUvwSxS_v4_eS94HQYyYDFnmBspnwlK2HbdsCHLcN6FX6fkCEV_bpPtrnw6E4Pg5Ga-h7XQuj0yprm1gaapVL_Y28SwC5EHDGRHRTkxYx2u29nH-29QQp_ae1HqdRiche8u0UwrfixWAX3vUTz-u9efe6b5sJA7aE51jaMQdw6SsqHZZSFXtcAiKP_VSJREQudWWgUha7ivsxTyEUcmlMEyeAkIE5qSQugfteQBc5xJg6nXDEPtReAOyI75tSPcLdrpGM7XmeJdt6soKgXssVlhMDGr_QmU_z4izQ-3vu5i_OsHftf2bjdXTVQHC8U-nMOlpLshto3Ri5Aj8znbif30T9w3yqP7hgQMl4Fn2dzFYzLFdLbMbwYF01MMb9aAGmEg6nn_ABmOCZqW3F0XQM-12ezG6h9-eyo9uok8Gr3kBYAEJyIkcpOFBfxDEhkspE6dZ6xI9cC5FaCkJp-rLr8SDTsPzZyCE-q_gSatkJjexYyG6umld9Sf5C_0oLWEOru4qXJ_LFODRGKiRUQDwtg4SnlHIai8AJYkYYV4kUNKAW2tLiGVYluo1tDHe0RhPOAmKhRyWF7iySaeEaR6uiCAcHR_9AdPi2RfTUEKU5sENGplwE9qQ7lrUoN1uUYB9la3lDK1PNlSL8qQJwZa0kZy8_bJb1TXU6Ypbkq5KGAIxg1LfQnUofG87qiIoB7LWQaGlqi_XtlWxyUjZ2d10fwCJx7_75ubbQZdDZcH8w3LuHrniAssvOo84m6iwXq-Q-uiS_LCfF4kFpkTD6eN66-wNf4csX
openUrl	ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Solving+the+maximum+cut+problem+using+Harris+Hawk+Optimization+algorithm&rft.jtitle=PloS+one&rft.au=Islam%2C+Md.+Rafiqul&rft.au=Islam%2C+Md.+Shahidul&rft.au=Boni%2C+Pritam+Khan&rft.au=Sarker%2C+Aldrin+Saurov&rft.date=2024-12-30&rft.pub=Public+Library+of+Science&rft.issn=1932-6203&rft.eissn=1932-6203&rft.volume=19&rft.issue=12&rft.spage=e0315842&rft_id=info:doi/10.1371%2Fjournal.pone.0315842&rft.externalDBID=ISR&rft.externalDocID=A821837593
thumbnail_l	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1932-6203&client=summon
thumbnail_m	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1932-6203&client=summon
thumbnail_s	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1932-6203&client=summon