Name
Abstract | ||
|---|---|---|
Kahn conjectured in 1988 that, for each prime power q , there is an integer n ( q ) such that no 3-connected GF ( q )-representable matroid has more than n ( q ) inequivalent GF ( q )-representations. At the time, this conjecture was known to be true for q =2 and q =3, and Kahn had just proved it for q =4. In this paper, we prove the conjecture for q =5, showing that 6 is a sharp value for n (5). Moreover, we also show that the conjecture is false for all larger values of q . |
Year | DOI | Venue |
|---|---|---|
1996 | 10.1006/jctb.1996.0049 | Journal of Combinatorial Theory |
Keywords | DocType | Volume |
finite field,inequivalent representation | Journal | 67 |
Issue | ISSN | Citations |
2 | Journal of Combinatorial Theory, Series B | 21 |
PageRank | References | Authors |
1.83 | 5 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| James Oxley | 1 | 397 | 57.57 |
| Dirk Vertigan | 2 | 331 | 32.14 |
| Geoff Whittle | 3 | 471 | 57.57 |