James Oxley

activity

20162020

most citedCircuit-Difference Matroids

2 citations · 4 across the 3 of their papers we have counts for

collaborators

3 papers

math.CO2020★ 2 cited

Circuit-Difference Matroids

George Drummond, Tara Fife, Kevin Grace +1

One characterization of binary matroids is that the symmetric difference of every pair of intersecting circuits is a disjoint union of circuits. This paper considers circuit-differ…

math.CO2019★ 1 cited

Complementation, Local Complementation, and Switching in Binary Matroids

James Oxley, Jagdeep Singh

In 2004, Ehrenfeucht, Harju, and Rozenberg showed that any graph on a vertex set $V$ can be obtained from a complete graph on $V$ via a sequence of the operations of complementatio…

math.CO2016★ 1 cited

Internally $4$ -connected binary matroids with every element in three triangles

Carolyn Chun, James Oxley

Let $M$ be an internally $4$ -connected binary matroid with every element in three triangles. Then $M$ has at least four elements $e$ such that si $(M / e)$ is internally 4-connected.

Circuit-Difference Matroids

Complementation, Local Complementation, and Switching in Binary Matroids

Internally 4-connected binary matroids with every element in three triangles

Internally $4$ -connected binary matroids with every element in three triangles