LIPIcs.STACS.2010.2469.pdf
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The k-in-a-path Problem for Claw-free Graphs
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27th International Symposium on Theoretical Aspects of Computer Science (STACS 2010)
Series: Leibniz International Proceedings in Informatics (LIPIcs)
Conference: Symposium on Theoretical Aspects of Computer Science (STACS) - License:
Creative Commons Attribution-NoDerivs 3.0 Unported license
- Publication Date: 2010-03-09
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Jiri Fiala, Marcin Kaminski, Bernard Lidický, and Daniël Paulusma. The k-in-a-path Problem for Claw-free Graphs. In 27th International Symposium on Theoretical Aspects of Computer Science. Leibniz International Proceedings in Informatics (LIPIcs), Volume 5, pp. 371-382, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2010)
https://doi.org/10.4230/LIPIcs.STACS.2010.2469
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.
Subject Classification
Keywords
- Induced path
- claw-free graph
- polynomial-time algorithm
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