About: New approach to Petersen coloring

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

Attributes	Values
rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://dx.doi.org/10.1016/j.endm.2011.10.026
Description	Petersen coloring (defined by Jaeger [On graphic-minimal spaces, Ann. Discrete Math. 8 (1980)]) is a mapping from the edges of a cubic graph to the edges of the Petersen graph, so that three edges adjacent at a vertex are mapped to three edges adjacent at a vertex. The existence of such mapping for every cubic bridgeless graph is known to imply the truth of the Cycle double cover conjecture and of the Berge-Fulkerson conjecture. We develop Jaegerʼs alternate formulation of Petersen coloring in terms of special five-edge colorings. We suggest a weaker conjecture, and provide new techniques to solve it. On a related note, we provide a counterexample to a stronger conjecture by DeVos, Nešetřil, and Raspaud [On edge-maps whose inverse preserves flows and tensions, Graph Theory in Paris, 2006] that asked for an oriented version of Petersen coloring. Keywords: Petersen coloring; nowhere-zero flows; cycle-double cover Petersen coloring (defined by Jaeger [On graphic-minimal spaces, Ann. Discrete Math. 8 (1980)]) is a mapping from the edges of a cubic graph to the edges of the Petersen graph, so that three edges adjacent at a vertex are mapped to three edges adjacent at a vertex. The existence of such mapping for every cubic bridgeless graph is known to imply the truth of the Cycle double cover conjecture and of the Berge-Fulkerson conjecture. We develop Jaegerʼs alternate formulation of Petersen coloring in terms of special five-edge colorings. We suggest a weaker conjecture, and provide new techniques to solve it. On a related note, we provide a counterexample to a stronger conjecture by DeVos, Nešetřil, and Raspaud [On edge-maps whose inverse preserves flows and tensions, Graph Theory in Paris, 2006] that asked for an oriented version of Petersen coloring. Keywords: Petersen coloring; nowhere-zero flows; cycle-double cover (en)
Title	New approach to Petersen coloring New approach to Petersen coloring (en)
skos:prefLabel	New approach to Petersen coloring New approach to Petersen coloring (en)
skos:notation	RIV/00216208:11320/11:10101030!RIV12-GA0-11320___
http://linked.open...avai/predkladatel	Matematicko-fyzikální fakulta
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(1M0545), P(GPP201/10/P337), Z(MSM0021620838)
http://linked.open...iv/cisloPeriodika	December
http://linked.open...vai/riv/dodaniDat	2012
http://linked.open...aciTvurceVysledku	Šámal, Robert
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	Univerzita Karlova v Praze / Matematicko-fyzikální fakulta
http://linked.open...dnocenehoVysledku	215742
http://linked.open...ai/riv/idVysledku	RIV/00216208:11320/11:10101030
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	coloring; Petersen; approach; New (en)
http://linked.open.../riv/klicoveSlovo	New coloring approach Petersen
http://linked.open...odStatuVydavatele	NL - Nizozemsko
http://linked.open...ontrolniKodProRIV	[9E9E2A0B4E82]
http://linked.open...i/riv/nazevZdroje	Electronic Notes in Discrete Mathematics
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...vavai/riv/projekt	Institute for Theoretical Computer Science Flows and cycles in graphs using mappings between graphs
http://linked.open...UplatneniVysledku	2011
http://linked.open...v/svazekPeriodika	38
http://linked.open...iv/tvurceVysledku	Šámal, Robert
http://linked.open...ain/vavai/riv/wos	000294972800004
http://linked.open...n/vavai/riv/zamer	Moderní metody, struktury a systémy informatiky
issn	1571-0653
number of pages	6 (xsd:int)
http://bibframe.org/vocab/doi	10.1016/j.endm.2011.10.026
http://localhost/t...ganizacniJednotka	11320
is http://linked.open...avai/riv/vysledek of	New approach to Petersen coloring New approach to Petersen coloring

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