Computing the Clique-Width on Series-Parallel Graphs

Authors

  • Marco Antonio López-Medina Universidad Autónoma del Estado de México
  • J. Leonardo González-Ruiz Universidad Autónoma del Estado de México
  • J. Raymundo Marcial-Romero Universidad Autónoma del Estado de México
  • J. A. Hernández Universidad Autónoma del Estado de México

DOI:

https://doi.org/10.13053/cys-26-2-4250

Keywords:

Graph theory, clique-width, tree-width, complexity, series-parallel

Abstract

The clique-width (cwd) is an invariant of graphs which, similar to other invariants like the tree-width (twd) establishes a parameter for the complexity of a problem. For example, several problems with bounded clique-width can be solved in polynomial time. There is a well known relation between tree-width and clique-width denoted as cwd(G) ≤ 3 · 2 twd(G)−1 . Serial-parallel graphs have tree-width of at most 2, so its clique–width is at most 6 according to the previous relation. In this paper, we improve the bound for this particular case, showing that the clique-width of series-parallel graphs is smaller or equal to 5.

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Published

2022-06-15

Issue

Vol. 26 No. 2 (2022): Emerging Issues and Applications of Fuzzy Systems, Neural Networks and Metaheuristics (Castillo, Melin, Montiel, Valdez)

Section

Articles of the Thematic Section

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