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- W2009349978 abstract "The total chromatic number χT(G) is the least number of colours needed to colour the vertices and edges of a graph G such that no incident or adjacent elements (vertices or edges) receive the same colour. The Total Colouring Conjecture (TCC) states that for every simple graph G, χT(G)⩽Δ(G)+2. This work verifies the TCC for powers of cycles Cnk,n even and 2<k<n/2, showing that there exists and can be polynomially constructed a (Δ(G)+2)-total colouring for these graphs." @default.
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- W2009349978 date "2007-03-01" @default.
- W2009349978 modified "2023-10-10" @default.
- W2009349978 title "A result on the total colouring of powers of cycles" @default.
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- W2009349978 doi "https://doi.org/10.1016/j.dam.2006.08.010" @default.
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