Chromatic-Index-Critical Graphs of Orders 11 and 12

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Chromatic Index Critical Graphs of Orders 11 and 12 Program in Applied and Computational Mathematics

A chromatic-index-critical graph G on n vertices is non-trivial if it has at most bn2 c edges. We prove that there is no chromatic-index-critical graph of order 12, and that there are precisely two non-trivial chromatic index critical graphs on 11 vertices. Together with known results this implies that there are precisely three non-trivial chromaticindex-critical graphs of order 12.

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ژورنال

عنوان ژورنال: European Journal of Combinatorics

سال: 1998

ISSN: 0195-6698

DOI: 10.1006/eujc.1998.0254