DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Jaehoon | ko |
dc.contributor.author | Kostochka, Alexandr | ko |
dc.contributor.author | Zhu, Xuding | ko |
dc.date.accessioned | 2019-07-18T05:34:19Z | - |
dc.date.available | 2019-07-18T05:34:19Z | - |
dc.date.created | 2019-07-17 | - |
dc.date.created | 2019-07-17 | - |
dc.date.created | 2019-07-17 | - |
dc.date.created | 2019-07-17 | - |
dc.date.issued | 2016-04 | - |
dc.identifier.citation | JOURNAL OF GRAPH THEORY, v.81, no.4, pp.403 - 413 | - |
dc.identifier.issn | 0364-9024 | - |
dc.identifier.uri | http://hdl.handle.net/10203/263347 | - |
dc.description.abstract | A graph G is -colorable if can be partitioned into two sets and so that the maximum degree of is at most j and of is at most k. While the problem of verifying whether a graph is (0, 0)-colorable is easy, the similar problem with in place of (0, 0) is NP-complete for all nonnegative j and k with . Let denote the supremum of all x such that for some constant every graph G with girth g and for every is -colorable. It was proved recently that . In a companion paper, we find the exact value . In this article, we show that increasing g from 5 further on does not increase much. Our constructions show that for every g, . We also find exact values of for all g and all k >= 2 j + 2.(C) 2015 Wiley Periodicals, Inc. J. Graph Theory 81: 403-413, 2016 | - |
dc.language | English | - |
dc.publisher | WILEY-BLACKWELL | - |
dc.title | Improper Coloring of Sparse Graphs with a Given Girth, II: Constructions | - |
dc.type | Article | - |
dc.identifier.wosid | 000370183500007 | - |
dc.identifier.scopusid | 2-s2.0-84958112699 | - |
dc.type.rims | ART | - |
dc.citation.volume | 81 | - |
dc.citation.issue | 4 | - |
dc.citation.beginningpage | 403 | - |
dc.citation.endingpage | 413 | - |
dc.citation.publicationname | JOURNAL OF GRAPH THEORY | - |
dc.identifier.doi | 10.1002/jgt.21886 | - |
dc.contributor.localauthor | Kim, Jaehoon | - |
dc.contributor.nonIdAuthor | Kostochka, Alexandr | - |
dc.contributor.nonIdAuthor | Zhu, Xuding | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | improper coloring | - |
dc.subject.keywordAuthor | defective coloring | - |
dc.subject.keywordAuthor | sparse graph | - |
dc.subject.keywordAuthor | girth | - |
dc.subject.keywordPlus | SET | - |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.