AbstractBy mainly algebraic means, in [1] we have shown that each finite linear space embeds into the projective plane over some (not necessarily associative) division algebra. Here we shall give a matroid theoretic interpretation of this result. In particular, we present the prototypes for coordinatizing arbitrary rank three matroids: a kind of three-dimensional vector spaces over division algebras
AbstractA simple way of associating a matroid of prescribed rank with a graph is shown. The matroids...
This paper studies the properties of two kinds of matroids: (a) algebraic matroids and (b) finite an...
The algebra of throws is a geometric construction which reveals the underlying algebraic operations ...
AbstractBy mainly algebraic means, in [1] we have shown that each finite linear space embeds into th...
AbstractAny finite partial plane J, and thus any finite linear space and any (simple) rank-three mat...
AbstractAny finite partial plane J, and thus any finite linear space and any (simple) rank-three mat...
AbstractRecently, Goodman et al. have proven two conjectures by Grünbaum right, showing that any arr...
AbstractFor a matroid M, define the algebraic characteristic set χA(M) to be the set of field charac...
We construct a ∧-homogeneous universal simple matroid of rank 3, i.e. a countable simple rank 3 matr...
We establish a new geometrical characterization of oriented matroids of rank 3. This characterizatio...
AbstractFor a matroid M, define the algebraic characteristic set χA(M) to be the set of field charac...
AbstractIt follows from a fundamental (1958) result of Tutte that a binary matroid is representable ...
AbstractWe construct a new family of minimal non-orientable matroids of rank three. Some of these ma...
AbstractWe construct all 3-connected matroids with circumference equal to 6 having rank at least 8. ...
AbstractWe present a new direct proof of the Folkman–Lawrence topological representation theorem for...
AbstractA simple way of associating a matroid of prescribed rank with a graph is shown. The matroids...
This paper studies the properties of two kinds of matroids: (a) algebraic matroids and (b) finite an...
The algebra of throws is a geometric construction which reveals the underlying algebraic operations ...
AbstractBy mainly algebraic means, in [1] we have shown that each finite linear space embeds into th...
AbstractAny finite partial plane J, and thus any finite linear space and any (simple) rank-three mat...
AbstractAny finite partial plane J, and thus any finite linear space and any (simple) rank-three mat...
AbstractRecently, Goodman et al. have proven two conjectures by Grünbaum right, showing that any arr...
AbstractFor a matroid M, define the algebraic characteristic set χA(M) to be the set of field charac...
We construct a ∧-homogeneous universal simple matroid of rank 3, i.e. a countable simple rank 3 matr...
We establish a new geometrical characterization of oriented matroids of rank 3. This characterizatio...
AbstractFor a matroid M, define the algebraic characteristic set χA(M) to be the set of field charac...
AbstractIt follows from a fundamental (1958) result of Tutte that a binary matroid is representable ...
AbstractWe construct a new family of minimal non-orientable matroids of rank three. Some of these ma...
AbstractWe construct all 3-connected matroids with circumference equal to 6 having rank at least 8. ...
AbstractWe present a new direct proof of the Folkman–Lawrence topological representation theorem for...
AbstractA simple way of associating a matroid of prescribed rank with a graph is shown. The matroids...
This paper studies the properties of two kinds of matroids: (a) algebraic matroids and (b) finite an...
The algebra of throws is a geometric construction which reveals the underlying algebraic operations ...
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