2 citations · 6 across the 6 of their papers we have counts for
Showing 2004Show all
3 papers · 1 filter
math.CO2004
A unique factorization theorem for matroids
Henry Crapo, William Schmitt
We study the combinatorial, algebraic and geometric properties of the free product operation on matroids. After giving cryptomorphic definitions of free product in terms of indepen…
math.CO2004★ 1 cited
The Free product of Matroids
Henry Crapo, William Schmitt
We introduce a noncommutative binary operation on matroids, called free product. We show that this operation respects matroid duality, and has the property that, given only the car…
math.CO2004★ 1 cited
A free subalgebra of the algebra of matroids
Henry Crapo, William Schmitt
This paper is an initial inquiry into the structure of the Hopf algebra of matroids with restriction-contraction coproduct. Using a family of matroids introduced by Crapo in 1965,…