Jaeho Shin

activity

20082023

most citedBirational Geometry of Matroids and Abstract Hyperplane Arrangements

4 citations · 10 across the 8 of their papers we have counts for

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math.CO2021

The Circuit-Cocircuit Intersection Conjecture for Intersection Size $k \leq 6$

Jaeho Shin

Oxley conjectured (1992) that if a matroid has a circuit-cocircuit intersection of size $k \geq 4$ , it has a circuit-cocircuit intersection of size $k - 2$ . We show that this conjecture…

math.CO2021

The Sticky Matroid Conjecture

Jaeho Shin

We show Kantor's conjecture (1974) holds in rank 4. This proves both the sticky matroid conjecture of Poljak and Turzik (1982) and the whole Kantor's conjecture, due to an argument…

The Circuit-Cocircuit Intersection Conjecture for Intersection Size k≤6

The Sticky Matroid Conjecture

The Circuit-Cocircuit Intersection Conjecture for Intersection Size $k \leq 6$