## Abstract In this article we prove that the total chromatic number of a planar graph with maximum degree 10 is 11. ยฉ 2006 Wiley Periodicals, Inc. J Graph Theory 54: 91โ102, 2007
The total chromatic number of graphs having large maximum degree
โ Scribed by A.J.W. Hilton; H.R. Hind
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 935 KB
- Volume
- 117
- Category
- Article
- ISSN
- 0012-365X
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โฆ Synopsis
Hilton, A.J.W. and H.R. Hind, The total chromatic number ofgraphs having large maximum degree, Discrete Mathematics 117 (1993) 127-140.
The total colouring conjecture is shown to be correct for those graphs G having d(G)>21 V(G)I.
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