38 citations · 106 across the 18 of their papers we have counts for
3 papers · 1 filter
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…
The Hydra-k partial fields
R. A. Pendavingh, S. H. M. van Zwam
In the paper "Confinement of matroid representations to subsets of partial fields" (arXiv:0806.4487) we introduced the Hydra-k partial fields to study quinary matroids with inequiv…