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

Jiří Fiala 1, 2, * Marcin Kamiński 3 Bernard Lidický 1, 2 Daniël Paulusma 4
* Corresponding author
1 ITI - Institute for Theoretical Computer Science
2 Faculty of Mathematics and Physics, DIMATIA
3 ULB - Computer Science Department [Bruxelles]
4 Department of Computer Science
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.
Keywords : induced path claw-free graph polynomial-time algorithm
Document type :
Conference papers
Jean-Yves Marion and Thomas Schwentick. 27th International Symposium on Theoretical Aspects of Computer Science - STACS 2010, Mar 2010, Nancy, France. pp.371-382, 2010, Proceedings of the 27th Annual Symposium on the Theoretical Aspects of Computer Science
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Jiří Fiala, Marcin Kamiński, Bernard Lidický, Daniël Paulusma. The k-in-a-path problem for claw-free graphs. Jean-Yves Marion and Thomas Schwentick. 27th International Symposium on Theoretical Aspects of Computer Science - STACS 2010, Mar 2010, Nancy, France. pp.371-382, 2010, Proceedings of the 27th Annual Symposium on the Theoretical Aspects of Computer Science. <inria-00455353>

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