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|Title:||Generalization of two results of Hilton on total-colourings of a graph|
|Source:||Yap, H.P. (1995-06-11). Generalization of two results of Hilton on total-colourings of a graph. Discrete Mathematics 140 (1-3) : 245-252. ScholarBank@NUS Repository.|
|Abstract:||We generalize two results of Hilton on total-colourings of a graph. The first generalized result unifies several previous results/proof techniques of Bermond, Chen, Chew, Fu, Hilton, Wang, and Yap. Applying the second generalized result, we prove that if G ⊆ Kn, n is such that Δ(G) = n - 1 and the complement of G with respect to Kn, n contains a 1-factor, then its total chromatic number is Δ(G) + 1. © 1995.|
|Source Title:||Discrete Mathematics|
|Appears in Collections:||Staff Publications|
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