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Graph Minors I: A Short Proof of the Path-width Theorem

1995/03/01 by Reinhard Diestel · 1 citation
Computer Science · Mathematics · #Advanced Graph Theory Research #Combinatorics #Complexity and Algorithms in Graphs #Computer science #Discrete mathematics #Graph #Graph minor #Interconnection Networks and Systems #Line graph #Mathematical analysis #Mathematics #Path (computing) #Pathwidth #Robertson–Seymour theorem #Upper and lower bounds #Voltage graph

paper · doi:10.1017/s0963548300001450

openalex publication_date 1995/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/05/21

Abstract

Robertson and Seymour proved that excluding any fixed forest F as a minorimposes a bound on the path-width of a graph. We give a short proof of this, reobtaining the best possible bound of |F| – 2.

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