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Chromatic index of graphs of even order with many edges.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Published
<mark>Journal publication date</mark>1984
<mark>Journal</mark>Journal of Graph Theory
Issue number4
Volume8
Number of pages8
Pages (from-to)463-470
Publication StatusPublished
<mark>Original language</mark>English

Abstract

We show that, for r = 1, 2, a graph G with 2n + 2 (6) vertices and maximum degree 2n + 1 - r is of Class 2 if and only if |E(G/v)| > () - rn, where v is a vertex of G of minimum degree, and we make a conjecture for 1 r n, of which this result is a special case. For r = 1 this result is due to Plantholt.