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Induced subgraphs and tree decompositions XVIII. Obstructions to bounded pathwidth

2024/12/23 by Maria Chudnovsky, Sepehr Hajebi, Chudnovsky, Maria +3
Computer Science · #Advanced Graph Theory Research

paper · pdf · doi:10.48550/arxiv.2412.17756

Abstract

The pathwidth of a graph G is the smallest w∈ ℕ such that G can be constructed from a sequence of graphs, each on at most w+1 vertices, by gluing them together in a linear fashion. We provide a full classification of the unavoidable induced subgraphs of graphs with large pathwidth.

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