Xu, S., The chromatic uniqueness of complete bipartite graphs, Discrete Mathematics 94 (1991) 153-159. This paper is partitioned into two parts. In the first part we determine the maximum number of induced complete bipartite subgraphs in graphs with some given conditions. Using a theorem given in th
The total chromatic number of nearly complete bipartite graphs
β Scribed by A.J.W Hilton
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 753 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0095-8956
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We show that a regular graph G of order at least 6 whose complement c is bipartite has total chromatic number d(G) + 1 if and only if (i) G is not a complete graph, and (ii) G#K when n is even. As an aid in"';he proof of this, we also show that , for n>4, if the edges of a Hamiltonian path of Kzn a
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