Interval Deletion is Fixed-Parameter Tractable

Abstract

We study the minimum \emph{interval deletion} problem, which asks for the removal of a set of at most $k$ vertices to make a graph of $n$ vertices into an interval graph. We present a parameterized algorithm of runtime $10^k\cdot n^{O(1)}$ for this problem, that is, we show the problem is fixed-parameter tractable.

Final version, to appear in ACM Transactions on Algorithms