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Recent results on the total chromatic number

✍ Scribed by A.J.W. Hilton


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
626 KB
Volume
111
Category
Article
ISSN
0012-365X

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✦ Synopsis


Hilton, A.J.W., Recent results on the total chromatic number, Discrete Mathematics 111 (1993) 323-331.

We give a survey of various recent results concerning the total chromatic number of simple graphs.


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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.