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Excluding Infinite Clique Minors by Robertson, Neil; Thomas, Robin; Seymour, Paul D. is a book available to read on EtoBox.

What is Excluding Infinite Clique Minors about?

Two of the authors proved a well-known conjecture of K. Wagner, that in any infinite set of finite graphs there are two graphs so that one is a minor of the other. A key lemma was a theorem about the structure of finite graphs that have no $K_n$ minor for a fixed integer $n$. Here, the authors obtain an infinite analog of this lemma—a structural condition on a graph, necessary and sufficient for it not to contain a $K_n$ minor, for any fixed infinite cardinal $n$.

Author

Robertson, Neil; Thomas, Robin; Seymour, Paul D.

Publisher

Providence, R.I.: American Mathematical Society

Published

1995

Language

EN

ISBN

9780821804025

Subjects

Mathematics, Stem

Updated

2026-03-24