Name
Abstract | ||
|---|---|---|
It is a well-known result of Tutte, A homotopy theorem for matroids, I, II, Trans. Amer. Math. Sec. 88 (1958) 144-174. that U-2,U-4 is the only non-binary matroid M such that, for every element e, both M\e and M/e are binary. Oxley generalized this result by characterizing the non-binary matroids M such that, for every element e of M, the deletion M\e or the contraction M/e is binary. We characterize those non-binary matroids M such that, for all elements e and f, at least two of M\e, f; M\e/f; M\e/f; and M\e, f are binary. (C) 1999 Elsevier Science B.V. All nights reserved. |
Year | DOI | Venue |
|---|---|---|
1999 | 10.1016/S0012-365X(98)00355-0 | DISCRETE MATHEMATICS |
Keywords | Field | DocType |
05b35 | Matroid,Discrete mathematics,Combinatorics,Graphic matroid,Homotopy,Mathematics,Binary number | Journal |
Volume | Issue | ISSN |
207 | 1-3 | 0012-365X |
Citations | PageRank | References |
1 | 0.36 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Allan D. Mills | 1 | 6 | 1.91 |
| James Oxley | 2 | 397 | 57.57 |