Skew circuits and circumference in a binary matroid
Combinatorics
2026-03-09 v3
Abstract
Let C_1 and C_2 be skew circuits in a binary matroid having circumference c. For any positive integer k there is a constant a_k such that if min { |A| ; C_1 \subset A \subset E-A} > a_k, then |C_1| + |C_2| < 2c -k.
Cite
@article{arxiv.2406.13861,
title = {Skew circuits and circumference in a binary matroid},
author = {Sean McGuinness},
journal= {arXiv preprint arXiv:2406.13861},
year = {2026}
}