Coloring a Graph Using Split Decomposition

نویسنده

  • Michaël Rao
چکیده

We show how to use split decomposition to compute the weighted clique number and the chromatic number of a graph and we apply these results to some classes of graphs. In particular we present an O(nm) algorithm to compute the chromatic number for all those graphs having a split decomposition in which every prime graph is an induced subgraph of either a Ck or a Ck for some k ≥ 3.

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تاریخ انتشار 2004