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Counterexamples to a conjecture about bottlenecks in non-Tait-colourable cubic graphs

✍ Scribed by Eckhard Steffen


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
47 KB
Volume
161
Category
Article
ISSN
0012-365X

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✦ Synopsis


We follow the terminology and notion of . By a well known theorem of Vizing it follows that the chromatic index z'(G) of a cubic graph G is 3 or 4. If z'(G) = 4 we say that G is non-Tait-colourable.

Holroyd and Loupekine [1] defined a bottleneck in a non-Tait-colourable cubic graph G =