Richard Montgomery

most citedAlmost-full transversals in equi-

n

-squares

1 citations · 1 across the 2 of their papers we have counts for

collaborators

2 papers

math.CO2025

Asymptotically-tight packing and covering with transversal bases in Rota's basis conjecture

Richard Montgomery, Lisa Sauermann

In 1989, Rota conjectured that, given any $n$ bases $B_{1}, \dots, B_{n}$ of a vector space of dimension $n$ , or more generally a matroid of rank $n$ , it is possible to rearrange these i…

math.CO2024★ 1 cited

Almost-full transversals in equi- $n$ -squares

Debsoumya Chakraborti, Micha Christoph, Zach Hunter +2

In 1975, Stein made a wide generalisation of the Ryser-Brualdi-Stein conjecture on transversals in Latin squares, conjecturing that every equi- $n$ -square (an $n \times n$ array fill…

Asymptotically-tight packing and covering with transversal bases in Rota's basis conjecture

Almost-full transversals in equi-n-squares

Almost-full transversals in equi- $n$ -squares