The Circuit-Cocircuit Intersection Conjecture for Intersection Size $k\le6$
Jaeho Shin·2021-11-04·via math.CO updates on arXiv.org
Oxley conjectured (1992) that if a matroid has a circuit-cocircuit intersection of size $k\ge4$, it has a circuit-cocircuit intersection of size $k-2$. We show that this conjecture holds for $k\le6$.