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Approximation of Pathwidth of Outerplanar Graphs
[chapter]
2001
Lecture Notes in Computer Science
There exists a polynomial time algorithm to compute the pathwidth of outerplanar graphs [3], but the large exponent makes this algorithm impractical. In this paper, we give an algorithm, that given a biconnected outerplanar graph G, finds a path decomposition of G of pathwidth at most at most twice the pathwidth of G plus one. To obtain the result, several relations between the pathwidth of a biconnected outerplanar graph and its dual are established.
doi:10.1007/3-540-45477-2_16
fatcat:xeri43chz5bzdomulyi6wkytdy