16 citations · 23 across the 12 of their papers we have counts for
4 papers · 1 filter
Detecting minors in matroids through triangles
Boris Albar, Daniel Gonçalves, Jorge L. Ramírez Alfonsín
In this note we investigate some matroid minor structure results. In particular, we present sufficient conditions, in terms of {\em triangles}, for a matroid to have either $U_{2,4…
Matroid toric ideals: complete intersection, minors and minimal systems of generators
Ignacio García-Marco, Jorge Luis Ramírez Alfonsín
In this paper, we investigate three problems concerning the toric ideal associated to a matroid. Firstly, we list all matroids such that its corresponding toric ideal…
How many circuits determine an oriented matroid?
Kolja Knauer, Luis Pedro Montejano, Jorge Luis Ramírez Alfonsín
Las Vergnas and Hamidoune studied the number of circuits needed to determine an oriented matroid. In this paper we investigate this problem and some new variants, as well as their…
Möbius function of semigroup posets through Hilbert series
Jonathan Chappelon, Ignacio García-Marco, Luis Pedro Montejano +1
In this paper, we investigate the M{ö}bius function associated to a (locally finite) poset arising from a semigroup of . We introduce…