2 papers
math.CO2023
The Circuit-Cocircuit Intersection Conjecture for Intersection Size
Jaeho Shin
A circuit-cocircuit intersection, or a CCI for short, of a matroid is the intersection of a circuit and a cocircuit. Oxley conjectured (1992) that a matroid with a CCI of size $k\g…
math.CO2021
The Circuit-Cocircuit Intersection Conjecture for Intersection Size
Jaeho Shin
Oxley conjectured (1992) that if a matroid has a circuit-cocircuit intersection of size , it has a circuit-cocircuit intersection of size . We show that this conjecture…