4 citations · 7 across the 4 of their papers we have counts for
4 papers
Certifying Non-representability of Matroids Over Prime Fields
Jim Geelen, Geoff Whittle
It is proved that, for a prime number , showing that an -element matroid is not representable over requires only rank evaluations.
Inequivalent Representations of Matroids over Prime Fields
Jim Geelen, Geoff Whittle
It is proved that for each prime field , there is an integer such that a 4-connected matroid has at most inequivalent representations over . We also pro…
The structure of graphs with a vital linkage of order 2
Dillon Mayhew, Geoff Whittle, Stefan H. M. van Zwam
A linkage of order k of a graph G is a subgraph with k components, each of which is a path. A linkage is vital if it spans all vertices, and no other linkage connects the same pair…
Stability, fragility, and Rota's Conjecture
Dillon Mayhew, Geoff Whittle, Stefan H. M. van Zwam
Fix a matroid N. A matroid M is N-fragile if, for each element e of M, at least one of M\e and M/e has no N-minor. The Bounded Canopy Conjecture is that all GF(q)-representable mat…