1 citations · 1 across the 1 of their papers we have counts for
6 papers
On the Highly Connected Dyadic, Near-Regular, and Sixth-Root-of-Unity Matroids
Ben Clark, Kevin Grace, James Oxley +1
Subject to announced results by Geelen, Gerards, and Whittle, we completely characterize the highly connected members of the classes of dyadic, near-regular, and sixth-root-of-unit…
On perturbations of highly connected dyadic matroids
Kevin Grace, Stefan H. M. van Zwam
Geelen, Gerards, and Whittle [3] announced the following result: let be a prime power, and let be a proper minor-closed class of -representa…
Relaxations of GF-representable matroids
Ben Clark, James Oxley, Stefan H. M. van Zwam
We consider the GF-representable matroids with a circuit-hyperplane such that the matroid obtained by relaxing the circuit-hyperplane is also GF-representable. We charact…
The highly connected even-cycle and even-cut matroids
Kevin Grace, Stefan H. M. van Zwam
The classes of even-cycle matroids, even-cycle matroids with a blocking pair, and even-cut matroids each have hundreds of excluded minors. We show that the number of excluded minor…
Templates for Binary Matroids
Kevin Grace, Stefan H. M. van Zwam
A binary frame template is a device for creating binary matroids from graphic or cographic matroids. Such matroids are said to conform or coconform to the template. We introduce a…
The structure of -fragile matroids
Ben Clark, Dillon Mayhew, Stefan van Zwam +1
Let be a set of matroids. A matroid is strictly -fragile if has a member of as minor and, for all , at least one of $M\…