Geodesic
Petersen-colorings and some families of snarks
Ars Mathematica Contemporanea, Tome 7 (2014) no. 1, pp. 161-173.

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In this paper we study Petersen-colorings and strong Petersen-colorings on some well known families of snarks, e.g. Blanuša snarks, Goldberg snarks and flower snarks. In particular, it is shown that flower snarks have a Petersen-coloring but they do not have a strong Petersen-coloring. Furthermore it is proved that possible minimum counterexamples to Jaeger’s Petersen-coloring conjecture do not contain a specific subdivision of K3, 3.
DOI : 10.26493/1855-3974.288.11a
Keywords: Petersen colorings, strong Petersen colorings, snarks 
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Jonas Hägglund; Eckhard Steffen. Petersen-colorings and some families of snarks. Ars Mathematica Contemporanea, Tome 7 (2014) no. 1, pp. 161-173. doi : 10.26493/1855-3974.288.11a. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.288.11a/

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