Name
Abstract | ||
|---|---|---|
Let M and N be internally 4-connected binary matroids such that M has a proper N-minor, and |E(N)|=7. As part of our project to develop a splitter theorem for internally 4-connected binary matroids, we prove the following result: if M@?e has no N-minor whenever e is in a triangle of M, and M/e has no N-minor whenever e is in a triad of M, then M has a minor, M^', such that M^' is internally 4-connected with an N- minor, and 1@?|E(M)|-|E(M^')|@?2. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1016/j.jctb.2016.08.001 | Journal of Combinatorial Theory Series B |
Keywords | Field | DocType |
proper minor n,splitter theorem,4-connected binary matroid,planar ladder,4-connected binary matroids,preceding paper,preliminary step,cubic mobius,certain coextension,minor m | Matroid,Discrete mathematics,Combinatorics,Disjoint sets,Splitter,Duality (optimization),Planar,Binary matroid,Mathematics,Binary number | Journal |
Volume | Issue | ISSN |
121 | C | 0095-8956 |
Citations | PageRank | References |
5 | 0.59 | 14 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Carolyn Chun | 1 | 25 | 8.25 |
| Dillon Mayhew | 2 | 102 | 18.63 |
| James Oxley | 3 | 194 | 24.39 |