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arXiv · 0912.5468

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

Jiri Fiala·Marcin Kaminski·Bernard Lidicky·Daniel Paulusma
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Abstract

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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Jiri Fiala, Marcin Kaminski, Bernard Lidicky, Daniel Paulusma. 2010-02-03. The k-in-a-path problem for claw-free graphs. https://doi.org/10.1007/s00453-010-9468-z

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