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Petersen-colorings and some families of snarks
Hägglund, Jonas ; Steffen, Eckhard
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 Jaegers Petersen-coloring conjecture do not contain a specific subdivision of ▫$K_{3, 3}$▫.
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