Classes of graphs with no long cycle as a vertex-minor are polynomially chi-bounded
DC Field | Value | Language |
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dc.contributor.author | Kwon, O jung | - |
dc.contributor.author | Kim, Ringi | - |
dc.contributor.author | Oum, Sang-il | - |
dc.contributor.author | Sivaraman, Vaidy | - |
dc.date.accessioned | 2023-08-16T08:11:53Z | - |
dc.date.available | 2023-08-16T08:11:53Z | - |
dc.date.created | 2023-07-19 | - |
dc.date.issued | 2020-01 | - |
dc.identifier.issn | 0095-8956 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/189309 | - |
dc.description.abstract | A class g of graphs is chi-bounded if there is a function f such that for every graph G is an element of g and every induced subgraph H of G, chi(H) <= f (omega(H)). In addition, we say that G is polynomially chi-bounded if f can be taken as a polynomial function. We prove that for every integer n >= 3, there exists a polynomial f such that chi(H) <= f (omega(H)) for all graphs with no vertex-minor isomorphic to the cycle graph C-n. To prove this, we show that if G is polynomially chi-bounded, then so is the closure of g under taking the 1-join operation. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.title | Classes of graphs with no long cycle as a vertex-minor are polynomially chi-bounded | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kwon, O jung | - |
dc.identifier.doi | 10.1016/j.jctb.2019.06.001 | - |
dc.identifier.scopusid | 2-s2.0-85067201962 | - |
dc.identifier.wosid | 000503324900012 | - |
dc.identifier.bibliographicCitation | JOURNAL OF COMBINATORIAL THEORY SERIES B, v.140, pp.372 - 386 | - |
dc.relation.isPartOf | JOURNAL OF COMBINATORIAL THEORY SERIES B | - |
dc.citation.title | JOURNAL OF COMBINATORIAL THEORY SERIES B | - |
dc.citation.volume | 140 | - |
dc.citation.startPage | 372 | - |
dc.citation.endPage | 386 | - |
dc.type.rims | ART | - |
dc.type.docType | 정기학술지(Article(Perspective Article포함)) | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | Y | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | CHROMATIC NUMBER | - |
dc.subject.keywordAuthor | Chromatic numberchi-bounded classVertex-minor1-joinCycle | - |
dc.identifier.url | https://linkinghub.elsevier.com/retrieve/pii/S0095895619300590 | - |
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