Inverse max+sum spanning tree problem under weighted l∞ norm by modifying max-weight vector
The max+sum spanning tree ( MSST ) problem is to determine a spanning tree T whose combined weight max e ∈ T w ( e ) + ∑ e ∈ T c ( e ) is minimum for a given edge-weighted undirected network G ( V , E , c , w ). This problem can be solved within O ( m log n ) time, where m and n are the numbers o...
Saved in:
| Published in: | Journal of global optimization Vol. 84; no. 3; pp. 715 - 738 |
|---|---|
| Main Authors: | , , , , |
| Format: | Journal Article |
| Language: | English |
| Published: |
New York
Springer US
01.11.2022
Springer Nature B.V |
| Subjects: | |
| ISSN: | 0925-5001, 1573-2916 |
| Online Access: | Get full text |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Abstract | The max+sum spanning tree (
MSST
) problem is to determine a spanning tree
T
whose combined weight
max
e
∈
T
w
(
e
)
+
∑
e
∈
T
c
(
e
)
is minimum for a given edge-weighted undirected network
G
(
V
,
E
,
c
,
w
). This problem can be solved within
O
(
m
log
n
)
time, where
m
and
n
are the numbers of edges and nodes, respectively. An inverse
MSST
problem (
IMSST
) aims to determine a new weight vector
w
¯
so that a given
T
0
becomes an optimal
MSST
of the new network
G
(
V
,
E
,
c
,
w
¯
)
. The
IMSST
problem under weighted
l
∞
norm is to minimize the modification cost
max
e
∈
E
q
(
e
)
|
w
¯
(
e
)
-
w
(
e
)
|
, where
q
(
e
) is a cost modifying the weight
w
(
e
). We first provide some optimality conditions of the problem. Then we propose a strongly polynomial time algorithm in
O
(
m
2
log
n
)
time based on a binary search and a greedy method. There are
O
(
m
) iterations and we solve an
MSST
problem under a new weight in each iteration. Finally, we perform some numerical experiments to show the efficiency of the algorithm. |
|---|---|
| AbstractList | The max+sum spanning tree (
MSST
) problem is to determine a spanning tree
T
whose combined weight
max
e
∈
T
w
(
e
)
+
∑
e
∈
T
c
(
e
)
is minimum for a given edge-weighted undirected network
G
(
V
,
E
,
c
,
w
). This problem can be solved within
O
(
m
log
n
)
time, where
m
and
n
are the numbers of edges and nodes, respectively. An inverse
MSST
problem (
IMSST
) aims to determine a new weight vector
w
¯
so that a given
T
0
becomes an optimal
MSST
of the new network
G
(
V
,
E
,
c
,
w
¯
)
. The
IMSST
problem under weighted
l
∞
norm is to minimize the modification cost
max
e
∈
E
q
(
e
)
|
w
¯
(
e
)
-
w
(
e
)
|
, where
q
(
e
) is a cost modifying the weight
w
(
e
). We first provide some optimality conditions of the problem. Then we propose a strongly polynomial time algorithm in
O
(
m
2
log
n
)
time based on a binary search and a greedy method. There are
O
(
m
) iterations and we solve an
MSST
problem under a new weight in each iteration. Finally, we perform some numerical experiments to show the efficiency of the algorithm. The max+sum spanning tree (MSST) problem is to determine a spanning tree T whose combined weight maxe∈Tw(e)+∑e∈Tc(e) is minimum for a given edge-weighted undirected network G(V, E, c, w). This problem can be solved within O(mlogn) time, where m and n are the numbers of edges and nodes, respectively. An inverse MSST problem (IMSST) aims to determine a new weight vector w¯ so that a given T0 becomes an optimal MSST of the new network G(V,E,c,w¯). The IMSST problem under weighted l∞ norm is to minimize the modification cost maxe∈Eq(e)|w¯(e)-w(e)|, where q(e) is a cost modifying the weight w(e). We first provide some optimality conditions of the problem. Then we propose a strongly polynomial time algorithm in O(m2logn) time based on a binary search and a greedy method. There are O(m) iterations and we solve an MSST problem under a new weight in each iteration. Finally, we perform some numerical experiments to show the efficiency of the algorithm. |
| Author | Jia, Junhua Guan, Xiucui Pardalos, Panos M. Zhang, Qiao Qian, Xinqiang |
| Author_xml | – sequence: 1 givenname: Junhua surname: Jia fullname: Jia, Junhua organization: School of Mathematics, Southeast University – sequence: 2 givenname: Xiucui orcidid: 0000-0002-2653-1868 surname: Guan fullname: Guan, Xiucui email: xcguan@163.com organization: School of Mathematics, Southeast University – sequence: 3 givenname: Qiao surname: Zhang fullname: Zhang, Qiao organization: School of Mathematics, Southeast University – sequence: 4 givenname: Xinqiang surname: Qian fullname: Qian, Xinqiang organization: School of Mathematics, Southeast University – sequence: 5 givenname: Panos M. surname: Pardalos fullname: Pardalos, Panos M. organization: Center for Applied Optimization, Department of Industrial and Systems Engineering, University of Florida, LATNA, Higher School of Economics |
| BookMark | eNp9kEtOwzAURS1UJNrCBhhZYogMttPE9hBVfCpVYgJDZDnxc0mVOMVOC9kBq2BxrISUICExYPQm99z7dCZo5BsPCJ0yesEoFZeRUakkoZwTypigpDtAY5aKhHDFshEaU8VTklLKjtAkxjWlVMmUj9HTwu8gRMC1eTuP2xrHjfG-9CvcBgC8CU1eQY233kLAr1CunluwuPp8_8C-CTXOO1w3tnTdHuk7yJDBOyjaJhyjQ2eqCCc_d4oeb64f5ndkeX-7mF8tScGTWUcEqDwxPBVMGVrMCiu4Sbm0LrVOCgNSSOA2Vy4rnLIZGGDCgrAWMsUSx5MpOht6-39fthBbvW62wfeTmgueZRlPJO1TfEgVoYkxgNObUNYmdJpRvdeoB42616i_Nequh-QfqChb05aNb4Mpq__RZEBjv-NXEH6_-of6AhHYjOU |
| CitedBy_id | crossref_primary_10_1007_s10898_022_01212_5 crossref_primary_10_3390_axioms14090691 crossref_primary_10_1016_j_cam_2024_116110 |
| Cites_doi | 10.1007/s10898-017-0546-5 10.1023/B:JOCO.0000038914.26975.9b 10.1016/j.tcs.2016.06.002 10.1007/s10878-020-00656-3 10.1007/s10878-006-9016-6 10.1006/jagm.1999.1052 10.1023/A:1013807829021 10.1016/j.cor.2005.12.003 10.1007/s10898-017-0554-5 10.1007/s10898-019-00852-4 10.1007/s10898-014-0140-z 10.1007/s10878-005-5486-1 10.1007/s10878-019-00433-x 10.1007/BF01589111 10.1016/0305-0548(94)90084-1 10.1007/s10898-008-9294-x 10.1287/opre.47.2.291 10.1016/j.ejor.2004.07.059 10.1007/s10898-005-6470-0 10.1016/0377-2217(94)00252-5 10.1007/s10898-011-9742-x 10.1287/opre.51.5.785.16756 10.1016/j.ejor.2007.04.031 |
| ContentType | Journal Article |
| Copyright | The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022 The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022. |
| Copyright_xml | – notice: The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022 – notice: The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022. |
| DBID | AAYXX CITATION 3V. 7SC 7WY 7WZ 7XB 87Z 88I 8AL 8AO 8FD 8FE 8FG 8FK 8FL 8G5 ABJCF ABUWG AFKRA ARAPS AZQEC BENPR BEZIV BGLVJ CCPQU DWQXO FRNLG F~G GNUQQ GUQSH HCIFZ JQ2 K60 K6~ K7- L.- L6V L7M L~C L~D M0C M0N M2O M2P M7S MBDVC P5Z P62 PHGZM PHGZT PKEHL PQBIZ PQBZA PQEST PQGLB PQQKQ PQUKI PRINS PTHSS Q9U |
| DOI | 10.1007/s10898-022-01170-y |
| DatabaseName | CrossRef ProQuest Central (Corporate) Computer and Information Systems Abstracts ABI/INFORM Collection ABI/INFORM Global (PDF only) ProQuest Central (purchase pre-March 2016) ABI/INFORM Collection Science Database (Alumni Edition) Computing Database (Alumni Edition) ProQuest Pharma Collection Technology Research Database ProQuest SciTech Collection ProQuest Technology Collection ProQuest Central (Alumni) (purchase pre-March 2016) ABI/INFORM Collection (Alumni) Research Library (Alumni) Materials Science & Engineering Collection ProQuest Central (Alumni) ProQuest Central UK/Ireland Advanced Technologies & Computer Science Collection ProQuest Central Essentials ProQuest Central Business Premium Collection ProQuest Technology Collection ProQuest One Community College ProQuest Central Korea Business Premium Collection (Alumni) ABI/INFORM Global (Corporate) ProQuest Central Student Research Library Prep SciTech Premium Collection ProQuest Computer Science Collection ProQuest Business Collection (Alumni Edition) ProQuest Business Collection Computer Science Database ABI/INFORM Professional Advanced ProQuest Engineering Collection Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional ABI/INFORM Global Computing Database Research Library Science Database Engineering Database Research Library (Corporate) Advanced Technologies & Aerospace Database ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Premium ProQuest One Academic (New) ProQuest One Academic Middle East (New) ProQuest One Business ProQuest One Business (Alumni) ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Applied & Life Sciences ProQuest One Academic (retired) ProQuest One Academic UKI Edition ProQuest Central China Engineering Collection ProQuest Central Basic |
| DatabaseTitle | CrossRef ProQuest Business Collection (Alumni Edition) Research Library Prep Computer Science Database ProQuest Central Student ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Essentials ProQuest Computer Science Collection Computer and Information Systems Abstracts SciTech Premium Collection ProQuest Central China ABI/INFORM Complete ProQuest One Applied & Life Sciences ProQuest Central (New) Engineering Collection Advanced Technologies & Aerospace Collection Business Premium Collection ABI/INFORM Global Engineering Database ProQuest Science Journals (Alumni Edition) ProQuest One Academic Eastern Edition ProQuest Technology Collection ProQuest Business Collection ProQuest One Academic UKI Edition ProQuest One Academic ProQuest One Academic (New) ABI/INFORM Global (Corporate) ProQuest One Business Technology Collection Technology Research Database Computer and Information Systems Abstracts – Academic ProQuest One Academic Middle East (New) ProQuest Central (Alumni Edition) ProQuest One Community College Research Library (Alumni Edition) ProQuest Pharma Collection ProQuest Central ABI/INFORM Professional Advanced ProQuest Engineering Collection ProQuest Central Korea ProQuest Research Library Advanced Technologies Database with Aerospace ABI/INFORM Complete (Alumni Edition) ProQuest Computing ABI/INFORM Global (Alumni Edition) ProQuest Central Basic ProQuest Science Journals ProQuest Computing (Alumni Edition) ProQuest SciTech Collection Computer and Information Systems Abstracts Professional Advanced Technologies & Aerospace Database Materials Science & Engineering Collection ProQuest One Business (Alumni) ProQuest Central (Alumni) Business Premium Collection (Alumni) |
| DatabaseTitleList | ProQuest Business Collection (Alumni Edition) |
| Database_xml | – sequence: 1 dbid: BENPR name: ProQuest Central url: https://www.proquest.com/central sourceTypes: Aggregation Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering Mathematics Sciences (General) Computer Science |
| EISSN | 1573-2916 |
| EndPage | 738 |
| ExternalDocumentID | 10_1007_s10898_022_01170_y |
| GrantInformation_xml | – fundername: National Natural Science Foundation of China grantid: 11471073 funderid: http://dx.doi.org/10.13039/501100001809 |
| GroupedDBID | -52 -57 -5G -BR -EM -Y2 -~C .4S .86 .DC .VR 06D 0R~ 0VY 199 1N0 1SB 2.D 203 28- 29K 2J2 2JN 2JY 2KG 2LR 2P1 2VQ 2~H 30V 3V. 4.4 406 408 409 40D 40E 5GY 5QI 5VS 67Z 6NX 78A 7WY 88I 8AO 8FE 8FG 8FL 8G5 8TC 8UJ 95- 95. 95~ 96X AAAVM AABHQ AACDK AAHNG AAIAL AAJBT AAJKR AANZL AARHV AARTL AASML AATNV AATVU AAUYE AAWCG AAYIU AAYOK AAYQN AAYTO AAYZH ABAKF ABBBX ABBXA ABDZT ABECU ABFTV ABHLI ABHQN ABJCF ABJNI ABJOX ABKCH ABKTR ABMNI ABMQK ABNWP ABQBU ABQSL ABSXP ABTAH ABTEG ABTHY ABTKH ABTMW ABULA ABUWG ABWNU ABXPI ACAOD ACBXY ACDTI ACGFS ACGOD ACHSB ACHXU ACIWK ACKNC ACMDZ ACMLO ACOKC ACOMO ACPIV ACZOJ ADHHG ADHIR ADIMF ADINQ ADKNI ADKPE ADRFC ADTPH ADURQ ADYFF ADZKW AEBTG AEFIE AEFQL AEGAL AEGNC AEJHL AEJRE AEKMD AEMSY AENEX AEOHA AEPYU AESKC AETLH AEVLU AEXYK AFBBN AFEXP AFGCZ AFKRA AFLOW AFQWF AFWTZ AFZKB AGAYW AGDGC AGGDS AGJBK AGMZJ AGQEE AGQMX AGRTI AGWIL AGWZB AGYKE AHAVH AHBYD AHKAY AHSBF AHYZX AI. AIAKS AIGIU AIIXL AILAN AITGF AJBLW AJRNO AJZVZ ALMA_UNASSIGNED_HOLDINGS ALWAN AMKLP AMXSW AMYLF AMYQR AOCGG ARAPS ARCSS ARMRJ ASPBG AVWKF AXYYD AYQZM AZFZN AZQEC B-. BA0 BAPOH BBWZM BDATZ BENPR BEZIV BGLVJ BGNMA BPHCQ BSONS CAG CCPQU COF CS3 CSCUP D-I DDRTE DL5 DNIVK DPUIP DU5 DWQXO EBLON EBS EDO EIOEI EJD ESBYG FEDTE FERAY FFXSO FIGPU FINBP FNLPD FRNLG FRRFC FSGXE FWDCC GGCAI GGRSB GJIRD GNUQQ GNWQR GQ6 GQ7 GQ8 GROUPED_ABI_INFORM_COMPLETE GUQSH GXS H13 HCIFZ HF~ HG5 HG6 HMJXF HQYDN HRMNR HVGLF HZ~ I09 IAO IHE IJ- IKXTQ ITC ITM IWAJR IXC IZIGR IZQ I~X I~Z J-C J0Z JBSCW JCJTX JZLTJ K60 K6V K6~ K7- KDC KOV KOW L6V LAK LLZTM M0C M0N M2O M2P M4Y M7S MA- N2Q N9A NB0 NDZJH NPVJJ NQJWS NU0 O9- O93 O9G O9I O9J OAM OVD P19 P2P P62 P9M PF0 PQBIZ PQBZA PQQKQ PROAC PT4 PT5 PTHSS Q2X QOK QOS R4E R89 R9I RHV RNI RNS ROL RPX RSV RZC RZE RZK S16 S1Z S26 S27 S28 S3B SAP SBE SCLPG SDD SDH SDM SHX SISQX SJYHP SNE SNPRN SNX SOHCF SOJ SPISZ SRMVM SSLCW STPWE SZN T13 T16 TEORI TN5 TSG TSK TSV TUC TUS U2A UG4 UOJIU UTJUX UZXMN VC2 VFIZW VH1 W23 W48 WK8 YLTOR Z45 Z5O Z7R Z7X Z7Z Z81 Z83 Z86 Z88 Z8M Z8N Z8T Z8U Z8W Z92 ZMTXR ZWQNP ZY4 ~EX AAPKM AAYXX ABBRH ABDBE ABFSG ABRTQ ACSTC ADHKG AEZWR AFDZB AFFHD AFHIU AFOHR AGQPQ AHPBZ AHWEU AIXLP AMVHM ATHPR AYFIA CITATION PHGZM PHGZT PQGLB 7SC 7XB 8AL 8FD 8FK JQ2 L.- L7M L~C L~D MBDVC PKEHL PQEST PQUKI PRINS Q9U |
| ID | FETCH-LOGICAL-c234y-7e9b3a25719a0c4cd72a528df5df87ae878e2db9f6cf9d6eae17de7dde6913f23 |
| IEDL.DBID | RSV |
| ISSN | 0925-5001 |
| IngestDate | Wed Nov 05 01:07:55 EST 2025 Sat Nov 29 01:59:36 EST 2025 Tue Nov 18 21:22:59 EST 2025 Fri Feb 21 02:47:32 EST 2025 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 3 |
| Keywords | Weighted Strongly polynomial time algorithm Binary search method Inverse max+sum spanning tree norm |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c234y-7e9b3a25719a0c4cd72a528df5df87ae878e2db9f6cf9d6eae17de7dde6913f23 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ORCID | 0000-0002-2653-1868 |
| PQID | 2726662380 |
| PQPubID | 29930 |
| PageCount | 24 |
| ParticipantIDs | proquest_journals_2726662380 crossref_primary_10_1007_s10898_022_01170_y crossref_citationtrail_10_1007_s10898_022_01170_y springer_journals_10_1007_s10898_022_01170_y |
| PublicationCentury | 2000 |
| PublicationDate | 20221100 2022-11-00 20221101 |
| PublicationDateYYYYMMDD | 2022-11-01 |
| PublicationDate_xml | – month: 11 year: 2022 text: 20221100 |
| PublicationDecade | 2020 |
| PublicationPlace | New York |
| PublicationPlace_xml | – name: New York – name: Dordrecht |
| PublicationSubtitle | An International Journal Dealing with Theoretical and Computational Aspects of Seeking Global Optima and Their Applications in Science, Management and Engineering |
| PublicationTitle | Journal of global optimization |
| PublicationTitleAbbrev | J Glob Optim |
| PublicationYear | 2022 |
| Publisher | Springer US Springer Nature B.V |
| Publisher_xml | – name: Springer US – name: Springer Nature B.V |
| References | Cai, Duin, Yang, Zhang (CR2) 2008; 188 Li, Shu, Huang, Bai (CR13) 2019; 38 Lai, Orlin (CR12) 2003 Zhang, Zhang, He (CR25) 2006; 34 Guan, He, Pardalos, Zhang (CR4) 2017; 69 Punnen, Nair (CR20) 1996; 89 Li, Zhang, Lai (CR16) 2016; 640 Duin, Volgenant (CR3) 2006; 170 Sokkalingam, Ahuja, Orlin (CR21) 1999; 47 Li, Zhang, Yang, Zhang, Du (CR17) 2020; 77 Punnen (CR19) 1994; 21 Guan, Zhang (CR7) 2012; 54 He, Zhang, Yao (CR11) 2005; 9 Yang, Zhang (CR23) 2007; 13 Guan, Pardalos, Zuo (CR5) 2015; 61 Heuburger (CR9) 2004; 8 Li, Zhang, Du (CR15) 2018; 30 Tayyebi, Sepasian (CR22) 2020; 40 Hochbaum (CR10) 2003; 51 Guan, Pardalos, Zhang (CR6) 2017; 5 Zhang, Liu (CR24) 2002; 6 Liu, Wang (CR14) 2009; 43 Minoux (CR18) 1989; 45 Guan, Zhang (CR8) 2007; 34 Ahuja, Orlin (CR1) 2000; 34 XG Yang (1170_CR23) 2007; 13 DS Hochbaum (1170_CR10) 2003; 51 X Li (1170_CR17) 2020; 77 XC Guan (1170_CR7) 2012; 54 M-C Cai (1170_CR2) 2008; 188 J Tayyebi (1170_CR22) 2020; 40 X Li (1170_CR13) 2019; 38 XC Guan (1170_CR4) 2017; 69 XC Guan (1170_CR5) 2015; 61 S Li (1170_CR16) 2016; 640 RK Ahuja (1170_CR1) 2000; 34 XC Guan (1170_CR6) 2017; 5 M Minoux (1170_CR18) 1989; 45 Y He (1170_CR11) 2005; 9 JZ Zhang (1170_CR24) 2002; 6 X Li (1170_CR15) 2018; 30 CW Duin (1170_CR3) 2006; 170 C Heuburger (1170_CR9) 2004; 8 PT Sokkalingam (1170_CR21) 1999; 47 AP Punnen (1170_CR19) 1994; 21 XC Guan (1170_CR8) 2007; 34 AP Punnen (1170_CR20) 1996; 89 LC Liu (1170_CR14) 2009; 43 B Zhang (1170_CR25) 2006; 34 T Lai (1170_CR12) 2003 |
| References_xml | – volume: 69 start-page: 911 year: 2017 end-page: 925 ident: CR4 article-title: Inverse max + sum spanning tree problem under Hamming distance by modifying the sum-cost vector publication-title: J. Glob. Optim. doi: 10.1007/s10898-017-0546-5 – volume: 8 start-page: 329 issue: 3 year: 2004 end-page: 361 ident: CR9 article-title: Inverse optimization, a survey on problems, methods, and results publication-title: J. Comb. Optim. doi: 10.1023/B:JOCO.0000038914.26975.9b – volume: 640 start-page: 119 year: 2016 end-page: 124 ident: CR16 article-title: Algorithms for constraint partial inverse matroid problem with weight increase forbidden publication-title: Theor. Comput. Sci. doi: 10.1016/j.tcs.2016.06.002 – volume: 40 start-page: 1075 issue: 4 year: 2020 end-page: 1091 ident: CR22 article-title: Partial inverse min-max spanning tree problem publication-title: J. Comb. Optim. doi: 10.1007/s10878-020-00656-3 – volume: 13 start-page: 123 year: 2007 end-page: 135 ident: CR23 article-title: Some inverse min-max network problems under weighted and norms with bound constraints on changes publication-title: J. Comb. Optim. doi: 10.1007/s10878-006-9016-6 – volume: 34 start-page: 177 year: 2000 end-page: 193 ident: CR1 article-title: A faster algorithm for the inverse spanning tree problem publication-title: J. Algorithm doi: 10.1006/jagm.1999.1052 – volume: 5 start-page: 1 year: 2017 end-page: 13 ident: CR6 article-title: Inverse max+sum spanning tree problem under weighted norm by modifying the sum-cost vector publication-title: Optim. Lett. – year: 2003 ident: CR12 publication-title: The Complexity of Preprocessing. Research Report of Sloan School of Management – volume: 6 start-page: 207 year: 2002 end-page: 227 ident: CR24 article-title: A general model of some inverse combinatorial optimization problems and its solution method under norm publication-title: J. Comb. Optim. doi: 10.1023/A:1013807829021 – volume: 34 start-page: 3243 year: 2007 end-page: 3254 ident: CR8 article-title: Inverse constrained bottleneck problems under weighted norm publication-title: Comput. Oper. Res. doi: 10.1016/j.cor.2005.12.003 – volume: 30 start-page: 677 year: 2018 end-page: 685 ident: CR15 article-title: Partial inverse maximum spanning tree in which weight can only be decreased under norm publication-title: J. Glob. Optim. doi: 10.1007/s10898-017-0554-5 – volume: 77 start-page: 319 issue: 2 year: 2020 end-page: 340 ident: CR17 article-title: Approximation algorithms for capacitated partial inverse maximum spanning tree problem publication-title: J. Glob. Optim. doi: 10.1007/s10898-019-00852-4 – volume: 61 start-page: 165 issue: 1 year: 2015 end-page: 182 ident: CR5 article-title: Inverse max + sum spanning tree problem by modifying the sum-cost vector under weighted Norm publication-title: J. Glob. Optim. doi: 10.1007/s10898-014-0140-z – volume: 9 start-page: 91 year: 2005 end-page: 100 ident: CR11 article-title: Weighted inverse minimum spanning tree problems under Hamming distance publication-title: J. Comb. Optim. doi: 10.1007/s10878-005-5486-1 – volume: 38 start-page: 1005 issue: 4 year: 2019 end-page: 1018 ident: CR13 article-title: Capacitated partial inverse maximum spanning tree under the weighted Hamming distance publication-title: J. Comb. Optim. doi: 10.1007/s10878-019-00433-x – volume: 45 start-page: 361 year: 1989 end-page: 371 ident: CR18 article-title: Solving combinatorial problemswith combined minmax-minsum objective and applications publication-title: Math. Program. doi: 10.1007/BF01589111 – volume: 21 start-page: 707 issue: 6 year: 1994 end-page: 716 ident: CR19 article-title: On combined minmax-minsum optimization publication-title: Comput. Oper. Res. doi: 10.1016/0305-0548(94)90084-1 – volume: 43 start-page: 83 year: 2009 end-page: 95 ident: CR14 article-title: Constrained inverse min-max spanning tree problems under the weighted Hamming distance publication-title: J. Glob. Optim. doi: 10.1007/s10898-008-9294-x – volume: 47 start-page: 291 issue: 2 year: 1999 end-page: 298 ident: CR21 article-title: Solving inverse spanning tree problems through network flow techniques publication-title: Oper. Res. doi: 10.1287/opre.47.2.291 – volume: 170 start-page: 887 year: 2006 end-page: 899 ident: CR3 article-title: Some inverse optimization problems under the Hamming distance publication-title: Eur. J. Oper. Res. doi: 10.1016/j.ejor.2004.07.059 – volume: 34 start-page: 467 issue: 3 year: 2006 end-page: 474 ident: CR25 article-title: Constrained inverse minimum spanning tree problems under the bottlenecktype Hamming distance publication-title: J. Glob. Optim. doi: 10.1007/s10898-005-6470-0 – volume: 89 start-page: 423 year: 1996 end-page: 426 ident: CR20 article-title: An algorithm for the max + sum spanning tree problem publication-title: Eur. J. Oper. Res. doi: 10.1016/0377-2217(94)00252-5 – volume: 54 start-page: 75 issue: 1 year: 2012 end-page: 82 ident: CR7 article-title: Inverse 1-median problem on trees under weighted Hamming distance publication-title: J. Glob. Optim. doi: 10.1007/s10898-011-9742-x – volume: 51 start-page: 785 issue: 5 year: 2003 end-page: 797 ident: CR10 article-title: Efficient algorithms for the inverse spanning tree problem publication-title: Oper. Res. doi: 10.1287/opre.51.5.785.16756 – volume: 188 start-page: 348 year: 2008 end-page: 353 ident: CR2 article-title: The partial inverse minimum spanning tree problem when weight increasing is forbidden publication-title: Eur. J. Oper. Res. doi: 10.1016/j.ejor.2007.04.031 – volume: 30 start-page: 677 year: 2018 ident: 1170_CR15 publication-title: J. Glob. Optim. doi: 10.1007/s10898-017-0554-5 – volume: 40 start-page: 1075 issue: 4 year: 2020 ident: 1170_CR22 publication-title: J. Comb. Optim. doi: 10.1007/s10878-020-00656-3 – volume: 51 start-page: 785 issue: 5 year: 2003 ident: 1170_CR10 publication-title: Oper. Res. doi: 10.1287/opre.51.5.785.16756 – volume: 47 start-page: 291 issue: 2 year: 1999 ident: 1170_CR21 publication-title: Oper. Res. doi: 10.1287/opre.47.2.291 – volume: 6 start-page: 207 year: 2002 ident: 1170_CR24 publication-title: J. Comb. Optim. doi: 10.1023/A:1013807829021 – volume: 43 start-page: 83 year: 2009 ident: 1170_CR14 publication-title: J. Glob. Optim. doi: 10.1007/s10898-008-9294-x – volume-title: The Complexity of Preprocessing. Research Report of Sloan School of Management year: 2003 ident: 1170_CR12 – volume: 170 start-page: 887 year: 2006 ident: 1170_CR3 publication-title: Eur. J. Oper. Res. doi: 10.1016/j.ejor.2004.07.059 – volume: 34 start-page: 3243 year: 2007 ident: 1170_CR8 publication-title: Comput. Oper. Res. doi: 10.1016/j.cor.2005.12.003 – volume: 8 start-page: 329 issue: 3 year: 2004 ident: 1170_CR9 publication-title: J. Comb. Optim. doi: 10.1023/B:JOCO.0000038914.26975.9b – volume: 188 start-page: 348 year: 2008 ident: 1170_CR2 publication-title: Eur. J. Oper. Res. doi: 10.1016/j.ejor.2007.04.031 – volume: 54 start-page: 75 issue: 1 year: 2012 ident: 1170_CR7 publication-title: J. Glob. Optim. doi: 10.1007/s10898-011-9742-x – volume: 5 start-page: 1 year: 2017 ident: 1170_CR6 publication-title: Optim. Lett. – volume: 69 start-page: 911 year: 2017 ident: 1170_CR4 publication-title: J. Glob. Optim. doi: 10.1007/s10898-017-0546-5 – volume: 21 start-page: 707 issue: 6 year: 1994 ident: 1170_CR19 publication-title: Comput. Oper. Res. doi: 10.1016/0305-0548(94)90084-1 – volume: 89 start-page: 423 year: 1996 ident: 1170_CR20 publication-title: Eur. J. Oper. Res. doi: 10.1016/0377-2217(94)00252-5 – volume: 13 start-page: 123 year: 2007 ident: 1170_CR23 publication-title: J. Comb. Optim. doi: 10.1007/s10878-006-9016-6 – volume: 34 start-page: 467 issue: 3 year: 2006 ident: 1170_CR25 publication-title: J. Glob. Optim. doi: 10.1007/s10898-005-6470-0 – volume: 640 start-page: 119 year: 2016 ident: 1170_CR16 publication-title: Theor. Comput. Sci. doi: 10.1016/j.tcs.2016.06.002 – volume: 61 start-page: 165 issue: 1 year: 2015 ident: 1170_CR5 publication-title: J. Glob. Optim. doi: 10.1007/s10898-014-0140-z – volume: 38 start-page: 1005 issue: 4 year: 2019 ident: 1170_CR13 publication-title: J. Comb. Optim. doi: 10.1007/s10878-019-00433-x – volume: 45 start-page: 361 year: 1989 ident: 1170_CR18 publication-title: Math. Program. doi: 10.1007/BF01589111 – volume: 9 start-page: 91 year: 2005 ident: 1170_CR11 publication-title: J. Comb. Optim. doi: 10.1007/s10878-005-5486-1 – volume: 34 start-page: 177 year: 2000 ident: 1170_CR1 publication-title: J. Algorithm doi: 10.1006/jagm.1999.1052 – volume: 77 start-page: 319 issue: 2 year: 2020 ident: 1170_CR17 publication-title: J. Glob. Optim. doi: 10.1007/s10898-019-00852-4 |
| SSID | ssj0009852 |
| Score | 2.340531 |
| Snippet | The max+sum spanning tree (
MSST
) problem is to determine a spanning tree
T
whose combined weight
max
e
∈
T
w
(
e
)
+
∑
e
∈
T
c
(
e
)
is minimum for a given... The max+sum spanning tree (MSST) problem is to determine a spanning tree T whose combined weight maxe∈Tw(e)+∑e∈Tc(e) is minimum for a given edge-weighted... |
| SourceID | proquest crossref springer |
| SourceType | Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 715 |
| SubjectTerms | Algorithms Computer Science Graph theory Iterative methods Linear programming Mathematics Mathematics and Statistics Operations Research/Decision Theory Optimization Polynomials Real Functions |
| SummonAdditionalLinks | – databaseName: Science Database dbid: M2P link: http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV3LSsNAFL34WuhCbVWsVpmFC6UGk2mSmaxERHGhpQuVbiTMK1BoU2189Q_8Cj_OL3FmOjUq2I3rJJfAuS_mzj0HYI8pHnHdGnsCS-yFUoQeo1LpuOKGXcWPhd3wvr0krRbtdJK2O3Ar3LXKSU60iVoOhDkjP8JElxJdq6l_fP_gGdUoM111EhqzMK87m8Bc6brC7ZJ0l1rFHT_BkRfpfOyWZtzqHDXLZdhcTDDiK6OfhansNn8NSG3dOV_57x-vwrLrONHJ2EUqMKPyKix94yGsQsVFeIH2HQ31wRrcGQqOYaFQn702tDmkc4_VN0JmkI2cEg0yS2hD9GJPWJVEvY-3d5TrRhjxEeoPZNfuURkb3vgd9GznBOtwc352fXrhOTEGjWIzHHlEJbzJdIAHCfNFKCTBLMJUZpHMKGGKEqqw5EkWiyyRsWIqIFIRnT3jJGhmuLkBc_kgV5uAEj-T2oG58gMZYj_mGaM0EJEgEY8zHNcgmCCRCsdUbgQzemnJsWzQSzV6qUUvHdWg8fXN_ZinY-rb9QlkqYvZIi3xqsHhBPTy8d_WtqZb24ZFbPzMLjDWYe5x-KR2YEE8P3aL4a712E95dPOr priority: 102 providerName: ProQuest |
| Title | Inverse max+sum spanning tree problem under weighted l∞ norm by modifying max-weight vector |
| URI | https://link.springer.com/article/10.1007/s10898-022-01170-y https://www.proquest.com/docview/2726662380 |
| Volume | 84 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVAVX databaseName: SpringerLink Journals customDbUrl: eissn: 1573-2916 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0009852 issn: 0925-5001 databaseCode: RSV dateStart: 19970101 isFulltext: true titleUrlDefault: https://link.springer.com/search?facet-content-type=%22Journal%22 providerName: Springer Nature |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1bS9xAFD7Uy4N98LIqrrXLPPShooFkNslMHq0oBet20XoFCXMLLOhu2ayX_Qf9Ff1x_SU9MztxVVTQlwNDToYw5zKHzHzfAfgijEwklsaBopoGsVZxILg2GFfSsquEqXII7-MfrNXip6dZ24PCyuq2e3Uk6TL1A7Abt3Awaq8S2HYpwwmYwu2O24YNB4fHY6pd7vrshBlNggSzsIfKPD_H4-1oXGM-ORZ1u83u3Pu-cx5mfXVJtkbusAAfTLcGc1XnBuIDuQYfH9AQ4mj_nru1rMGC1yrJV89Jvb4IF5aPo18aciXuNtB5CSYi1-yI2FNt4tvSEItI65Nb97vVaHL5789f0sWqmMghuerpjgNV2TmCkQ65cYcGS3C0u_Nr-3vgOzOgSZvxMGAmk02B0R5lIlSx0oyKhHJdJLrgTBjOuKFaZkWqikynRpiIacMwlaZZ1Cxocxkmu72uWQGShYVGb5YmjHRMw1QWgvNIJYolMi1oWoeoMlCuPG257Z5xmY8Jl-2C57jguVvwfFiHjft3fo9IO17VXqvsnvsALnPKsHLB0pCHddis7Dx-_PJsq29T_wQz1LqKQzeuweSgf20-w7S6GXTKfgMm2MlZA6a-7bTaBzjaYwHK_XDbSvrTybaV7BBlOzlvuFD4D2Zg_Xs |
| linkProvider | Springer Nature |
| linkToHtml | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V3LTtwwFL1CgFS6KI9SdVpovWilVhCReJLYWSCEShGI6YgFrdig4FckJJihk2Fo_qBf0U_go_gSfD0OKUiwY8E6juXE5z6S63MuwCdhZCJtahwoqmkQaxUHgmtj7UqiukqYKsfw_tVh3S4_PMz2J-Cq5sLgscraJzpHrfsK_5GvUWZDiY3VPNw4_x1g1yisrtYtNMaw2DPVpf1kK9d3t-z-fqZ0-_vBt53AdxWwy2nHVcBMJtvCIjXKRKhipRkVCeW6SHTBmTCccUO1zIpUFZlOjTAR04ZZN5BmUbtAoQPr8qdiVBbDo4J0vxH55a7DT5jRJEis__ckHU_V40hmo3gQApu9VHcDYZPd3ivIuji3Pfvc3tAcvPIZNdkcm8A8TJjeArz8T2dxAea9ByvJFy-z_fU1HKHEyKA05Ez8WbHLJ9a3uv5NBAv1xHfaIUiyG5BL9wfZaHJ6_fcf6dlEn8iKnPX1ieOJ4RzBeAwZuTrIIvx8kod-A5O9fs-8BZKFhbYGKk0Y6ZiGqSwE55FKFEtkWtC0BVG987nySuzYEOQ0bzSkES25RUvu0JJXLVi5ved8rEPy6OilGiK590ll3uCjBas1yJrLD8_27vHZPsKLnYMfnbyz2917DzMUMe7ImkswORxcmGWYVqPhSTn44KyFwPFTg-8GyNpUJg |
| linkToPdf | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V3NbtQwEB5VBSE4AC0gthTwASRQiZp4k9g5IIQoK6pWqz0AqpBQ8K9Uqd1tN6Ulb8BT8CA8Dk_CjNchgERvPXCOYznJNzN2Zr5vAB4ppwuNW-PEcMuT3Jo8UdI6tCtN6ippaQLD-_2uGI_l3l41WYLvHReGyio7nxgctZ0Z-ke-yQWGEozVMt30sSxisjV6cXScUAcpyrR27TQWENlx7Rke35rn21v4rR9zPnr99tWbJHYYwKUN8zYRrtJDhajNKpWa3FjBVcGl9YX1UignhXTc6sqXxle2dMplwjqBLqGssqEn0QN0_5cEnjGpnHBSfOgFf2Xo9pNWvEgKjAWRsBNpe5KIbZyKIqjxS_tnUOx3un8lZ0PMG934n9_WTbged9rs5cI0VmDJTVfh2m_6i6uwEj1bw55E-e2nt-AjSY_MG8cO1ZcNXD5Dnxv6OjFK4LPYgYcR-W7OzsKfZWfZwY-v39gUDwBMt-xwZvcDf4zmSBZj2GnIj9yGdxfy0HdgeTqburvAqtRbNFzt0szmPC21V1JmpjCi0KXn5QCyDgW1iQrt1CjkoO61pQk5NSKnDsip2wFs_LrnaKFPcu7o9Q4udfRVTd1jZQDPOsD1l_8929r5sz2EK4i5end7vHMPrnKCe-BwrsPyyfyzuw-XzenJfjN_EAyHwaeLxt5PF_ddEg |
| 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=Inverse+max%2Bsum+spanning+tree+problem+under+weighted+%24%24l_%7B%5Cinfty+%7D%24%24+norm+by+modifying+max-weight+vector&rft.jtitle=Journal+of+global+optimization&rft.au=Jia%2C+Junhua&rft.au=Guan%2C+Xiucui&rft.au=Zhang%2C+Qiao&rft.au=Qian%2C+Xinqiang&rft.date=2022-11-01&rft.issn=0925-5001&rft.eissn=1573-2916&rft.volume=84&rft.issue=3&rft.spage=715&rft.epage=738&rft_id=info:doi/10.1007%2Fs10898-022-01170-y&rft.externalDBID=n%2Fa&rft.externalDocID=10_1007_s10898_022_01170_y |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0925-5001&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0925-5001&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0925-5001&client=summon |