This HTML5 document contains 45 embedded RDF statements represented using HTML+Microdata notation.

The embedded RDF content will be recognized by any processor of HTML5 Microdata.

Namespace Prefixes

PrefixIRI
dctermshttp://purl.org/dc/terms/
n21http://localhost/temp/predkladatel/
n13http://linked.opendata.cz/resource/domain/vavai/projekt/
n5http://linked.opendata.cz/resource/domain/vavai/riv/tvurce/
n10http://linked.opendata.cz/resource/domain/vavai/subjekt/
n9http://linked.opendata.cz/ontology/domain/vavai/
n22http://linked.opendata.cz/resource/domain/vavai/zamer/
shttp://schema.org/
skoshttp://www.w3.org/2004/02/skos/core#
rdfshttp://www.w3.org/2000/01/rdf-schema#
n3http://linked.opendata.cz/ontology/domain/vavai/riv/
n18http://bibframe.org/vocab/
n8http://linked.opendata.cz/resource/domain/vavai/vysledek/RIV%2F00216208%3A11320%2F11%3A10101030%21RIV12-GA0-11320___/
n2http://linked.opendata.cz/resource/domain/vavai/vysledek/
rdfhttp://www.w3.org/1999/02/22-rdf-syntax-ns#
n4http://linked.opendata.cz/ontology/domain/vavai/riv/klicoveSlovo/
n12http://linked.opendata.cz/ontology/domain/vavai/riv/duvernostUdaju/
xsdhhttp://www.w3.org/2001/XMLSchema#
n19http://linked.opendata.cz/ontology/domain/vavai/riv/jazykVysledku/
n16http://linked.opendata.cz/ontology/domain/vavai/riv/aktivita/
n15http://linked.opendata.cz/ontology/domain/vavai/riv/obor/
n6http://linked.opendata.cz/ontology/domain/vavai/riv/druhVysledku/
n7http://reference.data.gov.uk/id/gregorian-year/

Statements

Subject Item
n2:RIV%2F00216208%3A11320%2F11%3A10101030%21RIV12-GA0-11320___
rdf:type
n9:Vysledek skos:Concept
rdfs:seeAlso
http://dx.doi.org/10.1016/j.endm.2011.10.026
dcterms: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
dcterms:title
New approach to Petersen coloring New approach to Petersen coloring
skos:prefLabel
New approach to Petersen coloring New approach to Petersen coloring
skos:notation
RIV/00216208:11320/11:10101030!RIV12-GA0-11320___
n9:predkladatel
n10:orjk%3A11320
n3:aktivita
n16:Z n16:P
n3:aktivity
P(1M0545), P(GPP201/10/P337), Z(MSM0021620838)
n3:cisloPeriodika
December
n3:dodaniDat
n7:2012
n3:domaciTvurceVysledku
n5:8865574
n3:druhVysledku
n6:J
n3:duvernostUdaju
n12:S
n3:entitaPredkladatele
n8:predkladatel
n3:idSjednocenehoVysledku
215742
n3:idVysledku
RIV/00216208:11320/11:10101030
n3:jazykVysledku
n19:eng
n3:klicovaSlova
coloring; Petersen; approach; New
n3:klicoveSlovo
n4:New n4:Petersen n4:coloring n4:approach
n3:kodStatuVydavatele
NL - Nizozemsko
n3:kontrolniKodProRIV
[9E9E2A0B4E82]
n3:nazevZdroje
Electronic Notes in Discrete Mathematics
n3:obor
n15:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
1
n3:projekt
n13:GPP201%2F10%2FP337 n13:1M0545
n3:rokUplatneniVysledku
n7:2011
n3:svazekPeriodika
38
n3:tvurceVysledku
Šámal, Robert
n3:wos
000294972800004
n3:zamer
n22:MSM0021620838
s:issn
1571-0653
s:numberOfPages
6
n18:doi
10.1016/j.endm.2011.10.026
n21:organizacniJednotka
11320