Computing Directed Pathwidth in O(1.89n) Time

We give an algorithm for computing the directed pathwidth of a digraph with n vertices in O ( 1 . 89 n ) time. This is the first algorithm with running time better than the straightforward O ∗ ( 2 n ) . As a special case, it computes the pathwidth of an undirected graph in the same amount of time, i...

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Vydané v:Algorithmica Ročník 75; číslo 1; s. 138 - 157
Hlavní autori: Kitsunai, Kenta, Kobayashi, Yasuaki, Komuro, Keita, Tamaki, Hisao, Tano, Toshihiro
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: New York Springer US 01.05.2016
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ISSN:0178-4617, 1432-0541
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Shrnutí:We give an algorithm for computing the directed pathwidth of a digraph with n vertices in O ( 1 . 89 n ) time. This is the first algorithm with running time better than the straightforward O ∗ ( 2 n ) . As a special case, it computes the pathwidth of an undirected graph in the same amount of time, improving on the algorithm due to Suchan and Villanger which runs in O ( 1 . 9657 n ) time.
ISSN:0178-4617
1432-0541
DOI:10.1007/s00453-015-0015-9