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Constructing tree decompositions of graphs with bounded gonality

Author

Listed:
  • Hans L. Bodlaender

    (Utrecht University)

  • Josse Dobben de Bruyn

    (Delft University of Technology)

  • Dion Gijswijt

    (Delft University of Technology)

  • Harry Smit

    (Max Planck Institute for Mathematics)

Abstract

In this paper, we give a constructive proof of the fact that the treewidth of a graph is at most its divisorial gonality. The proof gives a polynomial time algorithm to construct a tree decomposition of width at most k, when an effective divisor of degree k that reaches all vertices is given. We also give a similar result for two related notions: stable divisorial gonality and stable gonality.

Suggested Citation

  • Hans L. Bodlaender & Josse Dobben de Bruyn & Dion Gijswijt & Harry Smit, 2022. "Constructing tree decompositions of graphs with bounded gonality," Journal of Combinatorial Optimization, Springer, vol. 44(4), pages 2681-2699, November.
    • Handle: RePEc:spr:jcomop:v:44:y:2022:i:4:d:10.1007_s10878-021-00762-w
    DOI: 10.1007/s10878-021-00762-w
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    References listed on IDEAS

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    1. Renhua Li & Leonie U Hempel & Tingbo Jiang, 2015. "A Non-Parametric Peak Calling Algorithm for DamID-Seq," PLOS ONE, Public Library of Science, vol. 10(3), pages 1-12, March.
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