Largest chordal and interval subgraphs faster than 2^n

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 $O(2^{\lambda n})$ for some $\lambda <1$. These are the first algorithms breaking the trivial $2^n{n}^{O(1)}$ bound of the brute-force search for these problems.

The preliminary version of this work appeared in the proceedings of ESA 2013