Abstract
We prove the following result. Suppose that for every graph G in a class C of graphs, and for every "highly connected component" of G, there is a decomposition of G of a certain kind centred on the component. Then C is well-quasi-ordered by minors; that is, in any infinite subset of C there are two graphs, one a minor of the other. This is another step towards Wagner's conjecture.
Original language | English (US) |
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Pages (from-to) | 77-108 |
Number of pages | 32 |
Journal | Journal of Combinatorial Theory. Series B |
Volume | 89 |
Issue number | 1 |
DOIs | |
State | Published - Sep 2003 |
All Science Journal Classification (ASJC) codes
- Theoretical Computer Science
- Discrete Mathematics and Combinatorics
- Computational Theory and Mathematics