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

Published online by Cambridge University Press:  12 September 2008

Reinhard Diestel
Reinhard Diestel
Affiliation:
Faculty of Mathematics, TU Chemnitz, 09107 Chemnitz, Germany
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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.

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 4 , Issue 1 , March 1995 , pp. 27 - 30
Copyright
Copyright © Cambridge University Press 1995

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References

[1]Robertson, N. and Seymour, P. D. (1983) Graph minors. I. Excluding a forest. J. Combin. Theory B 35 39–61.CrossRefGoogle Scholar
[2]Bienstock, D., Robertson, N., Seymour, P. D. and Thomas, R. (1991) Quickly excluding a forest. J. Combin. Theory B 52 274–283.CrossRefGoogle Scholar