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  Induced Disjoint Paths in Circular-Arc Graphs in Linear Time

Golovach, P. A., Paulusma, D., & van Leeuwen, E. J. (2014). Induced Disjoint Paths in Circular-Arc Graphs in Linear Time. Retrieved from http://arxiv.org/abs/1403.0789.

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arXiv:1403.0789.pdf (Preprint), 211KB
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 Creators:
Golovach, Petr A., Author
Paulusma, Daniël, Author
van Leeuwen, Erik Jan1, Author           
Affiliations:
1Algorithms and Complexity, MPI for Informatics, Max Planck Society, ou_24019              

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Free keywords: Computer Science, Data Structures and Algorithms, cs.DS
 Abstract: The Induced Disjoint Paths problem is to test whether a graph G with k distinct pairs of vertices (s_i,t_i) contains paths P_1,...,P_k such that P_i connects s_i and t_i for i=1,...,k, and P_i and P_j have neither common vertices nor adjacent vertices (except perhaps their ends) for 1<=i < j<=k. We present a linear-time algorithm for Induced Disjoint Paths on circular-arc graphs. For interval graphs, we exhibit a linear-time algorithm for the generalization of Induced Disjoint Paths where the pairs (s_i,t_i) are not necessarily distinct.

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Language(s): eng - English
 Dates: 2014-03-042014-03-04
 Publication Status: Published online
 Pages: 18 p.
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 1403.0789
URI: http://arxiv.org/abs/1403.0789
BibTex Citekey: DBLP:journals/corr/GolovachPL14
 Degree: -

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