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arxiv: 0912.5468 · v2 · submitted 2009-12-30 · 💻 cs.DM · cs.DS

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The k-in-a-path problem for claw-free graphs

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classification 💻 cs.DM cs.DS
keywords graphsclaw-freeproblemwhenalreadyarbitrarilyfixedgeneral
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Testing whether there is an induced path in a graph spanning k given vertices is already NP-complete in general graphs when k=3. We show how to solve this problem in polynomial time on claw-free graphs, when k is not part of the input but an arbitrarily fixed integer.

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