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arxiv: 1211.5933 · v3 · pith:CENGSV5Gnew · submitted 2012-11-26 · 💻 cs.DS · cs.DM

Interval Deletion is Fixed-Parameter Tractable

classification 💻 cs.DS cs.DM
keywords intervalproblemdeletionfixed-parametergraphtractableverticesalgorithm
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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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