12 citations · 78 across the 26 of their papers we have counts for
3 papers · 1 filter
An obstacle to a decomposition theorem for near-regular matroids
Dillon Mayhew, Geoff Whittle, Stefan H. M. van Zwam
Seymour's Decomposition Theorem for regular matroids states that any matroid representable over both GF(2) and GF(3) can be obtained from matroids that are graphic, cographic, or i…
The internally 4-connected binary matroids with no M(K3,3)-minor
Dillon Mayhew, Gordon Royle, Geoff Whittle
We give a characterization of the internally 4-connected binary matroids that have no minor isomorphic to M(K3,3). Any such matroid is either cographic, or is isomorphic to a parti…
Excluding Kuratowski graphs and their duals from binary matroids
Dillon Mayhew, Gordon Royle, Geoff Whittle
We consider some applications of our characterisation of the internally 4-connected binary matroids with no M(K3,3)-minor. We characterise the internally 4-connected binary matroid…