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The Circuit-Cocircuit Intersection Conjecture for Intersection Size $k\le6$

Year: 2021
Type: preprint
Abstract: 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 $k\le6$.
Author: Shin, Jaeho
Language: English
Open Access status: green
OpenAlex ID: W3210607664
Cites: 2
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Related to: 10