100 citations · 310 across the 26 of their papers we have counts for
Showing 2010 · math.COShow all
3 papers · 2 filters
math.CO2010★ 6 cited
Sparse paving matroids, basis-exchange properties, and cyclic flats
Joseph E. Bonin
We provide evidence for five long-standing, basis-exchange conjectures for matroids by proving them for the enormous class of sparse paving matroids. We also explore the role that…
math.CO2010★ 8 cited
Characterizations of transversal and fundamental transversal matroids
Joseph E. Bonin, Joseph P. S. Kung, Anna de Mier
A result of Mason, as refined by Ingleton, characterizes transversal matroids as the matroids that satisfy a set of inequalities that relate the ranks of intersections and unions o…
math.CO2010★ 3 cited
A construction of infinite sets of intertwines for pairs of matroids
Joseph E. Bonin
An intertwine of a pair of matroids is a matroid such that it, but none of its proper minors, has minors that are isomorphic to each matroid in the pair. For pairs for which neithe…