Chromatic-index-critical graphs of orders 13 and 14

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Chromatic-index-critical graphs of orders 13 and 14

A graph is chromatic-index-critical if it cannot be edge-coloured with ∆ colours (with ∆ the maximal degree of the graph), and if the removal of any edge decreases its chromatic index. The Critical Graph Conjecture stated that any such graph has odd order. It has been proved false and the smallest known counterexample has order 18 [18, 31]. In this paper we show that there are no chromatic-inde...

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ژورنال

عنوان ژورنال: Discrete Mathematics

سال: 2005

ISSN: 0012-365X

DOI: 10.1016/j.disc.2005.06.010