Clique and anticlique partitions of graphs

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Abstract

In the paper we prove that, for a fixed k, the problem of deciding whether a graph admits a partition of its vertex set into k-element cliques or anticliques (i.e. independent sets) is polynomial.

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Bryś, K., & Lonc, Z. (1997). Clique and anticlique partitions of graphs. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1197 LNCS, pp. 67–72). https://doi.org/10.1007/3-540-62559-3_7

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