3 citations · 4 across the 3 of their papers we have counts for
4 papers
Matroids over one-dimensional groups
Guus P. Bollen, Dustin Cartwright, Jan Draisma
We develop the theory of matroids over one-dimensional algebraic groups, with special emphasis on positive characteristic. In particular, we compute the Lindström valuations and Fr…
The Tutte q-Polynomial
Guus Bollen, Henry Crapo, Relinde Jurrius
-Matroids are defined on complemented modular support lattices. Minors of length 2 are of four types as in a "classical" matroid. Tutte polynomials of matroids are calc…
Algebraic matroids and Frobenius flocks
Guus Bollen, Jan Draisma, Rudi Pendavingh
We show that each algebraic representation of a matroid in positive characteristic determines a matroid valuation of , which we have named the {\em Lindström valuation}. If…
An online version of Rota's basis conjecture
Guus P. Bollen, Jan Draisma
Rota's basis conjecture states that in any square array of vectors whose rows are bases of a fixed vector space the vectors can be rearranged within their rows in such a way that a…