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arXiv · 2005.05569

Constructing Tree Decompositions of Graphs with Bounded Gonality

Hans L. Bodlaender·Josse van Dobben de Bruyn·Dion Gijswijt·Harry Smit
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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.

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Hans L. Bodlaender, Josse van Dobben de Bruyn, Dion Gijswijt, Harry Smit. 2020-05-12. Constructing Tree Decompositions of Graphs with Bounded Gonality. https://arxiv.org/abs/2005.05569

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