Graph Minors. XX. Wagner's conjecture

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Abstract

We prove Wagner's conjecture, that for every infinite set of finite graphs, one of its members is isomorphic to a minor of another.

Keywords

Graph
Minor
Surface embedding
Well-quasi-ordering

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1

This research was partially supported by NSF Grant DMS 8504054 and was partially performed under a consulting agreement with Bellcore.

2

Present address: Mathematics Department, Princeton University, 201 Fine Hall, Princeton, NJ 08544, USA.