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Pré-Publication, Document De Travail Année : 2019

Graph Theory in Coq: Minors, Treewidth, and Isomorphisms

Résumé

We present a library for graph theory in Coq/Ssreflect. This library covers various notions on simple graphs, directed graphs, and multigraphs. We use it to formalise several results from the literature: Menger's theorem, the excluded-minor characterization of treewidth-two graphs, and a correspondence between multigraphs of treewidth at most two and terms of certain algebras.
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Dates et versions

hal-02316859 , version 1 (15-10-2019)
hal-02316859 , version 2 (19-01-2020)

Identifiants

  • HAL Id : hal-02316859 , version 1

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Christian Doczkal, Damien Pous. Graph Theory in Coq: Minors, Treewidth, and Isomorphisms. 2019. ⟨hal-02316859v1⟩
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