Unavoidable Minors of Large 5-Connected Graphs

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Date

2016-08-24

Authors

Shantanam, Abhinav

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Volume Title

Publisher

University of Waterloo

Abstract

This thesis shows that, for every positive integer $n \geq 5$, there exists a positive integer $N$ such that every $5-$connected graph with at least $N$ vertices has a minor isomorphic to one of thirty explicitly defined $5-$connected graphs $H_1(n), ..., H_{30}(n)$, each with at least $n$ vertices.

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Keywords

unavoidable minors, 5-connected

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