Abstract

We prove that in an n-vertex graph, induced chordal and interval subgraphs with the maximum number of vertices can be found in time O(2λn)O(2^{λn}) for some λ<1λ<1. These are the first algorithms breaking the trivial 2nnO(1)2^n n^{O(1)} bound of the brute-force search for these problems.

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