About: Graphs with odd cycle lengths 5 and 7 are 3-colorable

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Let L(G) be the set of lengths of odd cycles in a graph G. It is known that if the size of L(G) is k, then G is 2k+1-colorable unless one of its blocks is the complete graph of size 2k+2. In this paper, we improve this bound for graphs G with L(G)={5,7} by showing that they are 3-colorable. Let L(G) be the set of lengths of odd cycles in a graph G. It is known that if the size of L(G) is k, then G is 2k+1-colorable unless one of its blocks is the complete graph of size 2k+2. In this paper, we improve this bound for graphs G with L(G)={5,7} by showing that they are 3-colorable. (en)
Title	Graphs with odd cycle lengths 5 and 7 are 3-colorable Graphs with odd cycle lengths 5 and 7 are 3-colorable (en)
skos:prefLabel	Graphs with odd cycle lengths 5 and 7 are 3-colorable Graphs with odd cycle lengths 5 and 7 are 3-colorable (en)
skos:notation	RIV/49777513:23520/11:43898667!RIV12-GA0-23520___
http://linked.open...avai/predkladatel	Fakulta aplikovaných věd
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA201/09/0197), Z(MSM4977751301)
http://linked.open...iv/cisloPeriodika	3
http://linked.open...vai/riv/dodaniDat	2012
http://linked.open...aciTvurceVysledku	Kaiser, Tomáš Rucký, Ondřej
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Západočeská univerzita v Plzni / Fakulta aplikovaných věd
http://linked.open...dnocenehoVysledku	201520
http://linked.open...ai/riv/idVysledku	RIV/49777513:23520/11:43898667
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	4-critical; odd cycle; 3-colorability; coloring; graph (en)
http://linked.open.../riv/klicoveSlovo	graph 3-colorability 4-critical coloring odd cycle
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[B6A213508879]
http://linked.open...i/riv/nazevZdroje	SIAM Journal on Discrete Mathematics
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Graph colorings and flows: structure and applications
http://linked.open...UplatneniVysledku	2011
http://linked.open...v/svazekPeriodika	25
http://linked.open...iv/tvurceVysledku	Kaiser, Tomáš Rucký, Ondřej Škrekovski, Riste
http://linked.open...n/vavai/riv/zamer	Spojité a diskrétní matematické struktury a vývoj odpovídajících metod jejich zkoumání
issn	0895-4801
number of pages	20 (xsd:int)
http://bibframe.org/vocab/doi	10.1137/090761860
http://localhost/t...ganizacniJednotka	23520
is http://linked.open...avai/riv/vysledek of	Graphs with odd cycle lengths 5 and 7 are 3-colorable Graphs with odd cycle lengths 5 and 7 are 3-colorable

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