James Oxley

collaborators

2 papers

math.CO2025

The symmetric strong circuit elimination property

Christine Cho, James Oxley, Suijie Wang

If $C_{1}$ and $C_{2}$ are circuits in a matroid $M$ with $e_{1}$ in $C_{1} - C_{2}$ and $e$ in $C_{1} \cap C_{2}$ , then $M$ has a circuit $C_{3}$ such that $e \in C_{3} \subseteq (C_{1} \cup C_{2}) - e$ . This…

math.CO2025

Weak maps and the Tutte Polynomial

Christine Cho, James Oxley

Let $M$ and $N$ be matroids such that $N$ is the image of $M$ under a rank-preserving weak map. Generalizing results of Lucas, we prove that, for $x$ and $y$ positive, $T(M;x,y)\ge…