Abstract | ||
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A clique coloring of a graph is a coloring of the vertices so that no maximal clique is monochromatic (ignoring isolated vertices). The smallest number of colors in such a coloring is the clique chromatic number. In this paper, we study the asymptotic behavior of the clique chromatic number of the random graph G(n,p) for a wide range of edge-probabilities p = p(n). We see that the typical clique chromatic number, as a function of the average degree, forms an intriguing step function. |
Year | DOI | Venue |
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2019 | 10.1002/rsa.20804 | RANDOM STRUCTURES & ALGORITHMS |
Keywords | DocType | Volume |
clique chromatic number,random graphs | Journal | 54.0 |
Issue | ISSN | Citations |
4.0 | 1042-9832 | 0 |
PageRank | References | Authors |
0.34 | 0 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Colin McDiarmid | 1 | 1071 | 167.05 |
Dieter Mitsche | 2 | 141 | 26.08 |
Pawel Pralat | 3 | 234 | 48.16 |