Degree conditions of two vertices with distance two or three for the existence of a Hamilton cycle passing through a matching in a bipartite graph
In 1972, Las Vergnas gave a degree sum conditions for the existence of a perfect matching containing a given matching and for the existence of a Hamilton cycle passing through a given matching. In this paper, we investigate whether we can replace the degree sum conditions in the results due to Las V...
Gespeichert in:
| Veröffentlicht in: | Graphs and combinatorics Jg. 41; H. 6; S. 118 |
|---|---|
| Hauptverfasser: | , , , |
| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
Tokyo
Springer Japan
01.12.2025
Springer Nature B.V |
| Schlagworte: | |
| ISSN: | 0911-0119, 1435-5914 |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Abstract | In 1972, Las Vergnas gave a degree sum conditions for the existence of a perfect matching containing a given matching and for the existence of a Hamilton cycle passing through a given matching. In this paper, we investigate whether we can replace the degree sum conditions in the results due to Las Vergnas with degree conditions of two vertices with distance two or three. |
|---|---|
| AbstractList | In 1972, Las Vergnas gave a degree sum conditions for the existence of a perfect matching containing a given matching and for the existence of a Hamilton cycle passing through a given matching. In this paper, we investigate whether we can replace the degree sum conditions in the results due to Las Vergnas with degree conditions of two vertices with distance two or three. |
| ArticleNumber | 118 |
| Author | Yamashita, Tomoki Yashima, Takamasa Tsugaki, Masao Chiba, Shuya |
| Author_xml | – sequence: 1 givenname: Shuya surname: Chiba fullname: Chiba, Shuya organization: Faculty of Advanced Science and Technology, Kumamoto University – sequence: 2 givenname: Masao surname: Tsugaki fullname: Tsugaki, Masao organization: Department of Computer and Information Science, Seikei University – sequence: 3 givenname: Tomoki surname: Yamashita fullname: Yamashita, Tomoki organization: Department of Mathematics, Kindai University – sequence: 4 givenname: Takamasa orcidid: 0000-0002-3378-4740 surname: Yashima fullname: Yashima, Takamasa email: takamasa.yashima@neptune.kanazawa-it.ac.jp organization: Kanazawa Institute of Technology |
| BookMark | eNp9kMtOwzAQRS0EEuXxA6wssQ6MHSdulohXkZDYwNpynUli1NrBdnn8Bl-M0yKxYzHyjO89M9I9IvvOOyTkjMEFA5CXEaCUZQG8ytXIeSH3yIyJsiqqhol9MoOGsQIYaw7JUYyvAFAxATPyfYN9QKTGu9Ym612kvqPpw9N3DMkajPTDpoG2NibtDG4lH2gaJqrbdkjxM8s4yRnWdKHXdpW8o-bLrJCOOkbr-onxm37IhrVOZpi-rMvT0o4630pI-6DH4YQcdHoV8fT3PSYvd7fP14vi8en-4frqsTBc8lTUTPDlkjWmA84A51XLUZgKtcj6EoSWFZOiRSG5aHQ9Nw2roJG81rxruxrKY3K-2zsG_7bBmNSr3wSXT6qS11xmy7zMLr5zmeBjDNipMdi1Dl-KgZqyV7vsVc5ebbNXMkPlDorZ7HoMf6v_oX4AcvmKTA |
| Cites_doi | 10.1016/0095-8956(84)90054-6 10.1016/j.disc.2023.113446 10.1016/j.disc.2005.11.090 10.1016/0012-365X(93)90136-H 10.1007/978-1-84628-970-5 10.2307/2308928 10.1016/j.disc.2023.113692 10.1007/BF02759704 10.1002/jgt.20627 10.1002/(SICI)1097-0118(199606)22:2<181::AID-JGT9>3.0.CO;2-J |
| ContentType | Journal Article |
| Copyright | The Author(s), under exclusive licence to Springer Nature Japan KK 2025 Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. The Author(s), under exclusive licence to Springer Nature Japan KK 2025. |
| Copyright_xml | – notice: The Author(s), under exclusive licence to Springer Nature Japan KK 2025 Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. – notice: The Author(s), under exclusive licence to Springer Nature Japan KK 2025. |
| DBID | AAYXX CITATION 7SC 7TB 8FD FR3 JQ2 KR7 L7M L~C L~D |
| DOI | 10.1007/s00373-025-02978-7 |
| DatabaseName | CrossRef Computer and Information Systems Abstracts Mechanical & Transportation Engineering Abstracts Technology Research Database Engineering Research Database ProQuest Computer Science Collection Civil Engineering Abstracts Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional |
| DatabaseTitle | CrossRef Civil Engineering Abstracts Technology Research Database Computer and Information Systems Abstracts – Academic Mechanical & Transportation Engineering Abstracts ProQuest Computer Science Collection Computer and Information Systems Abstracts Engineering Research Database Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Professional |
| DatabaseTitleList | Civil Engineering Abstracts |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Mathematics |
| EISSN | 1435-5914 |
| ExternalDocumentID | 10_1007_s00373_025_02978_7 |
| GrantInformation_xml | – fundername: Japan Society for the Promotion of Science grantid: JP20K03720; JP21K03342; JP20K14353 funderid: http://dx.doi.org/10.13039/501100001691 |
| GroupedDBID | -~C -~X .86 .VR 06D 0R~ 0VY 1N0 203 29I 2J2 2JN 2JY 2KG 2KM 2LR 2~H 30V 4.4 406 408 409 40D 40E 5GY 5VS 67Z 6NX 78A 8TC 95- 95. 95~ 96X AABHQ AACDK AAHNG AAIAL AAJBT AAJKR AANZL AAPKM AARTL AASML AATNV AATVU AAUYE AAWCG AAYIU AAYQN ABAKF ABBBX ABBRH ABBXA ABDBE ABDBF ABDZT ABECU ABFSG ABFTV ABHLI ABHQN ABJNI ABJOX ABKCH ABKTR ABMNI ABMQK ABNWP ABQBU ABRTQ ABSXP ABTEG ABTHY ABTKH ABTMW ABWNU ABXPI ACAOD ACDTI ACGFS ACGOD ACHSB ACHXU ACIWK ACKNC ACMDZ ACMLO ACOKC ACOMO ACPIV ACSTC ACZOJ ADHHG ADHIR ADIMF ADKNI ADKPE ADRFC ADTPH ADURQ ADYFF ADZKW AEFQL AEGAL AEGNC AEJHL AEJRE AEMSY AENEX AEOHA AEPYU AETLH AEVLU AEXYK AEZWR AFBBN AFDZB AFHIU AFLOW AFOHR AFQWF AFWTZ AFZKB AGAYW AGDGC AGJBK AGMZJ AGQEE AGQMX AGRTI AGWIL AGWZB AGYKE AHAVH AHBYD AHKAY AHPBZ AHSBF AHWEU AHYZX AIAKS AIGIU AIIXL AILAN AITGF AIXLP AJRNO AJZVZ ALMA_UNASSIGNED_HOLDINGS ALWAN AMKLP AMXSW AMYLF AMYQR AOCGG ARMRJ ASPBG ATHPR AVWKF AXYYD AYFIA AYJHY AZFZN B-. BA0 BAPOH BGNMA BSONS CS3 CSCUP DDRTE DL5 DNIVK DPUIP DU5 EAP EBLON EBS EIOEI ESBYG ESX FEDTE FERAY FFXSO FIGPU FNLPD FRRFC FWDCC GGCAI GGRSB GJIRD GNWQR GQ7 GQ8 GXS HF~ HG5 HG6 HMJXF HQYDN HRMNR HVGLF HZ~ I09 IJ- IKXTQ ITM IWAJR IXC IZIGR IZQ I~X I~Z J-C J0Z JBSCW JCJTX JZLTJ KDC KOV LAS LLZTM M4Y MA- N9A NB0 NPVJJ NQJWS NU0 O93 O9G O9I O9J OAM P19 P2P P9R PF0 PQQKQ PT4 PT5 QOK QOS R89 R9I RHV ROL RPX RSV S16 S1Z S27 S3B SAP SDD SDH SDM SHX SISQX SJYHP SMT SNE SNPRN SNX SOHCF SOJ SPISZ SRMVM SSLCW STPWE SZN T13 TN5 TSG TSK TSV TUC TUS U2A UG4 UOJIU UTJUX UZXMN VC2 VFIZW W23 W48 WIP WK8 YLTOR Z45 ZMTXR ~A9 ~EX -Y2 1SB 28- 2P1 2VQ 5QI 88I 8AO AARHV AAYTO AAYXX ABJCF ABQSL ABULA ABUWG ACBXY ACUHS ADHKG AEBTG AEFIE AEKMD AFEXP AFFHD AFFNX AFGCZ AFKRA AGGDS AGQPQ AJBLW AMVHM ARAPS AZQEC B0M BBWZM BDATZ BENPR BGLVJ CAG CCPQU CITATION COF DWQXO EAD EJD EMK EPL FINBP FSGXE GNUQQ H13 HCIFZ I-F IHE K7- KOW M2P M7S N2Q NDZJH O9- PHGZM PHGZT PQGLB PTHSS Q2X R4E RNI RZK S26 S28 SCLPG T16 ZWQNP ~8M 7SC 7TB 8FD AESKC FR3 JQ2 KR7 L7M L~C L~D |
| ID | FETCH-LOGICAL-c272t-6142bb19cf0210e85d2e4c5ea4c27b04a75174de47249a68c91509726a2fdf603 |
| IEDL.DBID | RSV |
| ISICitedReferencesCount | 0 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=001595853800001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 0911-0119 |
| IngestDate | Mon Oct 20 16:42:47 EDT 2025 Sat Nov 29 07:04:59 EST 2025 Wed Dec 10 14:59:37 EST 2025 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 6 |
| Keywords | Degree condition 05C70 Bipartite graph Perfect matching 05C38 |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c272t-6142bb19cf0210e85d2e4c5ea4c27b04a75174de47249a68c91509726a2fdf603 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ORCID | 0000-0002-3378-4740 |
| PQID | 3262760383 |
| PQPubID | 30813 |
| ParticipantIDs | proquest_journals_3262760383 crossref_primary_10_1007_s00373_025_02978_7 springer_journals_10_1007_s00373_025_02978_7 |
| PublicationCentury | 2000 |
| PublicationDate | 2025-12-01 |
| PublicationDateYYYYMMDD | 2025-12-01 |
| PublicationDate_xml | – month: 12 year: 2025 text: 2025-12-01 day: 01 |
| PublicationDecade | 2020 |
| PublicationPlace | Tokyo |
| PublicationPlace_xml | – name: Tokyo |
| PublicationTitle | Graphs and combinatorics |
| PublicationTitleAbbrev | Graphs and Combinatorics |
| PublicationYear | 2025 |
| Publisher | Springer Japan Springer Nature B.V |
| Publisher_xml | – name: Springer Japan – name: Springer Nature B.V |
| References | R Wang (2978_CR11) 2023; 346 J Bang-Jensen (2978_CR3) 1996; 22 O Ore (2978_CR9) 1960; 67 D Amar (2978_CR1) 1993; 111 2978_CR7 JW Moon (2978_CR8) 1963; 1 D Amar (2978_CR2) 2007; 307 J Fujisawa (2978_CR6) 2024; 347 JA Bondy (2978_CR4) 2008 G Fan (2978_CR5) 1984; 37 M Wang (2978_CR10) 2018; 136 R Zamani (2978_CR12) 2012; 71 |
| References_xml | – volume: 136 start-page: 181 year: 2018 ident: 2978_CR10 publication-title: Ars Combin. – volume: 37 start-page: 221 year: 1984 ident: 2978_CR5 publication-title: J. Combin. Theory Ser. B doi: 10.1016/0095-8956(84)90054-6 – volume: 346 year: 2023 ident: 2978_CR11 publication-title: Discrete Math. doi: 10.1016/j.disc.2023.113446 – volume: 307 start-page: 1525 year: 2007 ident: 2978_CR2 publication-title: Discrete Math. doi: 10.1016/j.disc.2005.11.090 – volume: 111 start-page: 19 year: 1993 ident: 2978_CR1 publication-title: Discrete Math. doi: 10.1016/0012-365X(93)90136-H – volume-title: Graph Theory year: 2008 ident: 2978_CR4 doi: 10.1007/978-1-84628-970-5 – volume: 67 start-page: 55 year: 1960 ident: 2978_CR9 publication-title: Amer. Math. Monthly doi: 10.2307/2308928 – ident: 2978_CR7 – volume: 347 year: 2024 ident: 2978_CR6 publication-title: Discrete Math. doi: 10.1016/j.disc.2023.113692 – volume: 1 start-page: 163 year: 1963 ident: 2978_CR8 publication-title: Israel J. Math. doi: 10.1007/BF02759704 – volume: 71 start-page: 1 year: 2012 ident: 2978_CR12 publication-title: J. Graph Theory doi: 10.1002/jgt.20627 – volume: 22 start-page: 181 year: 1996 ident: 2978_CR3 publication-title: J. Graph Theory doi: 10.1002/(SICI)1097-0118(199606)22:2<181::AID-JGT9>3.0.CO;2-J |
| SSID | ssj0005140 |
| Score | 2.374515 |
| Snippet | In 1972, Las Vergnas gave a degree sum conditions for the existence of a perfect matching containing a given matching and for the existence of a Hamilton cycle... |
| SourceID | proquest crossref springer |
| SourceType | Aggregation Database Index Database Publisher |
| StartPage | 118 |
| SubjectTerms | Apexes Combinatorics Engineering Design Graph theory Matching Mathematics Mathematics and Statistics Original Paper Theorems |
| Title | Degree conditions of two vertices with distance two or three for the existence of a Hamilton cycle passing through a matching in a bipartite graph |
| URI | https://link.springer.com/article/10.1007/s00373-025-02978-7 https://www.proquest.com/docview/3262760383 |
| Volume | 41 |
| WOSCitedRecordID | wos001595853800001&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: PRVAVX databaseName: Springer Nature - Connect here FIRST to enable access customDbUrl: eissn: 1435-5914 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0005140 issn: 0911-0119 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/eLvHCXMwnV07T8MwELagMMDAG1FeuoENIqXOw_GIgKoLFRIPdYscxxZd0qoJIP4Gv5g7J2kFggG2RH7Kd4nvs---Y-wsMIEmXizPJghRwthKT2mhPZv7UmU5l9Zql2xCDIfJaCTvmqCwsvV2b68k3Z96HuxGVCl050gRxYR9xDJbiYhthjD6_dPCsaMOg8SNkIByTzahMj_38XU7WtiY365F3W7T3_zfPLfYRmNdwmWtDttsyRQ7bP12Ts1a7rKPa4MQ2wDi4Lx214KJheptAi4zM_42gM5mISfDEjXCFU1mUD1TK-ueDBCBprO2qbGCAR2ToBUJ-h3HhSla5DhlaJIAYQUc3TltwrjAt2w8JY2tDDi-7D322L95uBp4TWIGT3PBK4SbIc-yntSWEKNJopybUEdGhVie-aESxH-dm1AguFNxomWPBMVjxW1uYz_YZ51iUpgDBprHPKOD6VATVZqQSiY88yMucjRkue2y81Y-6bTm30jnTMtupVNc6dStdCq67LgVYdp8i2WKBioXOGgSdNlFK7JF8e-9Hf6t-hFb4yR15-tyzDrV7MWcsFX9Wo3L2anT0U8rKOFs |
| linkProvider | Springer Nature |
| linkToHtml | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV09T8MwED1BQQIGvhHl0wMbRGpdN45HBFRFtBUSBXWLEscWXdqqCSD-Br-YOydpBYIBtkR2Ysu-xO_Zd-8AzhqmoUkXy7MBUhThW-VFWmrPJjUVxQlX1mqXbEL2esFgoO6LoLC09HYvjyTdn3oW7EZSKXTmSBHFxH3kIiwJSrNDHP3hae7YkYdB4kJIRLmuilCZn9_xdTmaY8xvx6JutWlt_K-fm7BeoEt2mZvDFiyY0TasdWfSrOkOfFwbpNiGIQ9OcnctNrYsexszl5kZfxuM9mZZQsASLcIVjacse6anrLsyjAQ0HdqmhyPWpm0SRJFMv2O7bIKIHLvMiiRAWAFbd06bbDjCu3g4IYvNDHN62bvw2LrpX7W9IjGDp7nkGdJNweO4rrQlxmiCZsKN0E0TCSyPayKSpH-dGCGR3EV-oBXCTiW5H3GbWL_W2IPKaDwy-8A093lMG9NCk1SaVJEKeFxrcpkgkOW2Cufl_ISTXH8jnCktu5EOcaRDN9KhrMJROYVh8S2mIQJULrHRoFGFi3LK5sW_v-3gb9VPYaXd73bCzm3v7hBWOVmA83s5gko2fTHHsKxfs2E6PXH2-gnEz-RQ |
| linkToPdf | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV3JTsMwEB1BQQgO7Iiy-sANIlo3jeMjolRFQFWxqbco8SJ6Sas2gPgNvpgZJ20BwQFxS-RV9iR-z555BjiqmZoiXSzPhkhR_MBKL1ZCeVZXZJxoLq1V7rIJ0W6H3a7sfIrid97u4yPJPKaBVJrS7HSg7ekk8I1kU-j8kaKLiQeJWZjzkcmQU9ft3ePUySMPicRFkUhzVRZhMz_X8XVpmuLNb0ekbuVprvy_z6uwXKBOdpabyRrMmHQdlm4mkq2jDXhvGKTehmGlOnfjYn3Lstc-czc24--E0Z4t0wQ40VJcUn_IsicqZd2TYSSs6VA4FY5Zi7ZPEF0y9YbtsgEidew-Ky4HwgzYunPmZL0U35LegCw5M8zpaG_CQ_Pi_rzlFRc2eIoLniEN9XmSVKWyxCRNWNfc-KpuYh_Tk4ofC9LF1sYXSPriIFQS4agUPIi51Tao1LaglPZTsw1M8YAntGHtK5JQEzKWIU8qdS40Alxuy3A8nqtokOtyRBMFZjfSEY505EY6EmXYG09nVHyjowiBKxfYaFgrw8l4-qbJv9e287fsh7DQaTSj68v21S4scjIA5w6zB6Vs-Gz2YV69ZL3R8MCZ7geM7u00 |
| 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=Degree+conditions+of+two+vertices+with+distance+two+or+three+for+the+existence+of+a+Hamilton+cycle+passing+through+a+matching+in+a+bipartite+graph&rft.jtitle=Graphs+and+combinatorics&rft.au=Chiba%2C+Shuya&rft.au=Tsugaki%2C+Masao&rft.au=Yamashita%2C+Tomoki&rft.au=Yashima%2C+Takamasa&rft.date=2025-12-01&rft.issn=0911-0119&rft.eissn=1435-5914&rft.volume=41&rft.issue=6&rft_id=info:doi/10.1007%2Fs00373-025-02978-7&rft.externalDBID=n%2Fa&rft.externalDocID=10_1007_s00373_025_02978_7 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0911-0119&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0911-0119&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0911-0119&client=summon |