23 citations · 27 across the 8 of their papers we have counts for
4 papers · 1 filter
The Chen-Chvátal conjecture for metric spaces induced by distance-hereditary graphs
Pierre Aboulker, Rohan Kapadia
A special case of a theorem of De Bruijn and Erdős asserts that any noncollinear set of points in the plane determines at least distinct lines. Chen and Chvátal conjectured…
Matroids with a modular 4-point line
Rohan Kapadia
A result of Seymour implies that any 3-connected matroid with a modular 3-point line is binary. We prove a similar characterization for 3-connected matroids with modular 4-point li…
Representation of matroids with a modular plane
Jim Geelen, Rohan Kapadia
We prove that if M is a vertically 4-connected matroid with a modular flat X of rank at least three, then every representation of M | X over a finite field F extends to a unique F-…
Representability of matroids with a large projective geometry minor
Jim Geelen, Rohan Kapadia
We prove that for each prime power there is an integer such that if is a -connected, representable matroid with a PG-minor and no -minor, then…