Twenty-Second Annual IEEE Conference on Computational Complexity (CCC'07) On Parameterized Path and Chordless Path Problems San Diego, California June 13-March 16 ISBN: 0-7695-2780-9
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/CCC.2007.21
We study the parameterized complexity of various path (and cycle) problems, the parameter being the length of the path. For example, we show that the problem of the existence of a maximal path of length k in a graph G is fixed-parameter tractable, while its counting version is #W[1]- complete. The corresponding problems for chordless (or induced) paths are W[2]-complete and #W[2]-complete respectively. With the tools developed in this paper we derive the NP-completeness of a related classical problem, thereby solving a problem due to Hedetniemi [17].
Citation:
Yijia Chen, Jorg Flum, "On Parameterized Path and Chordless Path Problems," ccc, pp.250-263, Twenty-Second Annual IEEE Conference on Computational Complexity (CCC'07), 2007 Usage of this product signifies your acceptance of the Terms of Use. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||