Name
Abstract | ||
|---|---|---|
Let M be a 3-connected matroid, and let N be a 3-connected minor of M. A pair {x1,x2}⊆E(M) is N-detachable if one of the matroids M/x1/x2 or M﹨x1﹨x2 is 3-connected and has an N-minor. This is the third and final paper in a series where we prove that if |E(M)|−|E(N)|≥10, then either M has an N-detachable pair after possibly performing a single Δ-Y or Y-Δ exchange, or M is essentially N with a spike attached. Moreover, we describe the additional structures that arise if we require only that |E(M)|−|E(N)|≥5. |
Year | DOI | Venue |
|---|---|---|
2022 | 10.1016/j.jctb.2021.08.001 | Journal of Combinatorial Theory, Series B |
Keywords | DocType | Volume |
3-connected matroid,Splitter Theorem,Simple 3-connected graph,Wheels and Whirls Theorem | Journal | 153 |
ISSN | Citations | PageRank |
0095-8956 | 0 | 0.34 |
References | Authors | |
5 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Nick Brettell | 1 | 1 | 0.73 |
| Geoff Whittle | 2 | 471 | 57.57 |
| Alan Williams | 3 | 1 | 1.07 |