The mean chromatic number of a graph is defined. This is a measure of the expected performance of the greedy vertex-colouring algorithm when each ordering of the vertices is equally likely. In this note, we analyse the asymptotic behaviour of the mean chromatic number for the paths and even cycles,
β¦ LIBER β¦
-chromatic numbers of powers of paths and cycles
β Scribed by Lin, Wu-Hsiung; Chang, Gerard J.
- Book ID
- 122484200
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 407 KB
- Volume
- 161
- Category
- Article
- ISSN
- 0166-218X
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Graph bundles generalize the notion of covering graphs and products of graphs. The chromatic numbers of product bundles with respect to the Cartesian, strong and tensor product whose base and fiber are cycles are determined. ## 1. Introduction If G is a graph, V(G) and E(G) denote its vertex and e