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Title: | Generalization of two results of Hilton on total-colourings of a graph | Authors: | Yap, H.P. | Issue Date: | 11-Jun-1995 | Citation: | 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 | URI: | http://scholarbank.nus.edu.sg/handle/10635/103323 | ISSN: | 0012365X |
Appears in Collections: | Staff Publications |
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