Computing the Pathwidth of a graph is the problem of finding a tree decomposition of minimum width, where the decomposition tree is a path. It can be easily computed O*(2n) in time by using dynamic programming over all vertex subsets. For some time now there has been an open problem if there exists an algorithm computing Path-width with running time O*(c n) for c < 2. In this paper we show that such an algorithm with c = 1.9657 exists, and that there also exists an approximation algorithm and a constant τ such that an opt + τ approximation can be obtained in O*(1.89n) time. © 2009 Springer-Verlag.
CITATION STYLE
Suchan, K., & Villanger, Y. (2009). Computing pathwidth faster than 2n. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 5917 LNCS, pp. 324–335). https://doi.org/10.1007/978-3-642-11269-0_27
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