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Fully Dynamic Algorithm for Recognition and Modular Decomposition of Permutation Graphs

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Abstract

This paper considers the problem of maintaining a compact representation (O(n) space) of permutation graphs under vertex and edge modifications (insertion or deletion). That representation allows us to answer adjacency queries in O(1) time. The approach is based on a fully dynamic modular decomposition algorithm for permutation graphs that works in O(n) time per edge and vertex modification. We thereby obtain a fully dynamic algorithm for the recognition of permutation graphs.

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Authors and Affiliations

  1. Université de Montpellier 2, LIRMM, Montpellier, France

    Christophe Crespelle

  2. CNRS, LIRMM, Montpellier, France

    Christophe Paul

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  1. Christophe Crespelle
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  2. Christophe Paul
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Correspondence to Christophe Crespelle.

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This paper is a full version of the extended abstract appeared in [5].

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Crespelle, C., Paul, C. Fully Dynamic Algorithm for Recognition and Modular Decomposition of Permutation Graphs. Algorithmica 58, 405–432 (2010). https://doi.org/10.1007/s00453-008-9273-0

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