The definition of simplicial matroids over the rationals, which was introduced by Crapo and Rota, generalizes to an arbitrary field. We proved the following theorems.Theorem. If {ie201-1}, the full K-simplicial matroid of order n over a field F, is coordinatizable (representable) over a field F′, the {ie201-2}.Theorem. The {ie201-3}, is uniquely F-coordinatizable
En este trabajo presentamos un estudio de algunos de los aspectos más importantes de la teoría de ma...
This paper introduces combinatorial representations, which generalise the notion of linear represent...
This paper studies the properties of two kinds of matroids: (a) algebraic matroids and (b) finite an...
Let M be a simple matroid (= combinatorial geometry). On the bases of M we consider two matroids S(M...
AbstractUsing an earlier characterization of simplicial hypergraphs we obtain a characterization of ...
AbstractLet (ks) denote the set of all k-element-subsets of a finite set S. A k-simplical matroid on...
Thesis (Ph.D.)--University of Washington, 2016-08The f-vector of a simplicial complex is a fundament...
AbstractFor a matroid M, define the algebraic characteristic set χA(M) to be the set of field charac...
An efficient algorithm is described for testing regularity of a matroid (i.e., representability over...
AbstractWe will prove results about the linear and algebraic characteristic sets of a large class of...
AbstractIt follows from a fundamental (1958) result of Tutte that a binary matroid is representable ...
We extend the notion of matroid representations by matrices over fields by considering new represent...
AbstractThe algebraic characteristic set Xalg(M) of a matroid M is the set of characteristics of all...
This is the author's accepted manuscript.We show that two naturally occurring matroids representable...
AbstractGiven a combinatorial geometry (or “matroid”) M, defined on a finite set E, a certain abelia...
En este trabajo presentamos un estudio de algunos de los aspectos más importantes de la teoría de ma...
This paper introduces combinatorial representations, which generalise the notion of linear represent...
This paper studies the properties of two kinds of matroids: (a) algebraic matroids and (b) finite an...
Let M be a simple matroid (= combinatorial geometry). On the bases of M we consider two matroids S(M...
AbstractUsing an earlier characterization of simplicial hypergraphs we obtain a characterization of ...
AbstractLet (ks) denote the set of all k-element-subsets of a finite set S. A k-simplical matroid on...
Thesis (Ph.D.)--University of Washington, 2016-08The f-vector of a simplicial complex is a fundament...
AbstractFor a matroid M, define the algebraic characteristic set χA(M) to be the set of field charac...
An efficient algorithm is described for testing regularity of a matroid (i.e., representability over...
AbstractWe will prove results about the linear and algebraic characteristic sets of a large class of...
AbstractIt follows from a fundamental (1958) result of Tutte that a binary matroid is representable ...
We extend the notion of matroid representations by matrices over fields by considering new represent...
AbstractThe algebraic characteristic set Xalg(M) of a matroid M is the set of characteristics of all...
This is the author's accepted manuscript.We show that two naturally occurring matroids representable...
AbstractGiven a combinatorial geometry (or “matroid”) M, defined on a finite set E, a certain abelia...
En este trabajo presentamos un estudio de algunos de los aspectos más importantes de la teoría de ma...
This paper introduces combinatorial representations, which generalise the notion of linear represent...
This paper studies the properties of two kinds of matroids: (a) algebraic matroids and (b) finite an...
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