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On 3-Coloring of (2P_4,C_4)-Free Graphs

cris.lastimport.scopus2024-02-12T20:24:16Z
dc.abstract.enThe 3-coloring of hereditary graph classes has been a deeply-researched problem in the last decade. A hereditary graph class is characterized by a (possibly infinite) list of minimal forbidden induced subgraphs 1, 2,…; the graphs in the class are called (1, 2,…)-free. The complexity of 3-coloring is far from being understood, even for classes defined by a few small forbidden induced subgraphs. For H-free graphs, the complexity is settled for any H on up to seven vertices. There are only two unsolved cases on eight vertices, namely 24 and 8. For 8-free graphs, some partial results are known, but to the best of our knowledge, 24-free graphs have not been explored yet. In this paper, we show that the 3-coloring problem is polynomial-time solvable on (24,5)-free graphs.
dc.affiliationUniwersytet Warszawski
dc.conference.countryPolska
dc.conference.datefinish2021-06-25
dc.conference.datestart2021-06-23
dc.conference.placeWarszawa
dc.conference.seriesInternational Workshop on Graph-Theoretic Concepts in Computer Science
dc.conference.seriesInternational Workshop on Graph-Theoretic Concepts in Computer Science
dc.conference.seriesshortcutWG
dc.conference.shortcutWG 2021
dc.conference.weblinkhttps://sin.put.poznan.pl/conferences/details/conference/47th-international-workshop-on-graph-theoretic-concepts-in-computer-science-wg-2021
dc.contributor.authorKlimošová, Tereza
dc.contributor.authorMasařik, Tomáš
dc.contributor.authorJelínek, Vít
dc.contributor.authorPokorná, Aneta
dc.contributor.authorMasaříková, Jana
dc.date.accessioned2024-01-25T15:44:39Z
dc.date.available2024-01-25T15:44:39Z
dc.date.issued2021
dc.description.financePublikacja bezkosztowa
dc.description.volume12911
dc.identifier.doi10.1007/978-3-030-86838-3_30
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/114639
dc.identifier.weblinkhttps://doi.org/10.1007/978-3-030-86838-3\_30
dc.languageeng
dc.pbn.affiliationcomputer and information sciences
dc.relation.pages388--401
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.titleOn 3-Coloring of (2P_4,C_4)-Free Graphs
dc.typeJournalArticle
dspace.entity.typePublication