Interval Deletion is Fixed-Parameter Tractable

Published 26 Nov 2012 in cs.DS and cs.DM | (1211.5933v3)

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.

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