Add to ORKGWe present a new direct proof of the Folkman-Lawrence topological representation theorem for oriented matroids of rank 3. © 2001 Academic Press
Matroids have been defined in 1935 as generalization of graphs and matrices. Starting from the 1950...
AbstractA comparison of two expressions of the Tutte polynomial of an ordered oriented matroid, one ...
Swartz proved that any matroid can be realized as the intersection lattice of an arrangement of codi...
AbstractWe present a new direct proof of the Folkman–Lawrence topological representation theorem for...
AbstractRecently, Goodman et al. have proven two conjectures by Grünbaum right, showing that any arr...
AbstractResults of Folkman and Lawrence and Mandel on representations of oriented matroids by topolo...
AbstractIn this paper, the basic properties of oriented matroids are examined. A topological represe...
We establish a new geometrical characterization of oriented matroids of rank 3. This characterizatio...
A fundamental achievement in the theory of matroids is the Topological Representation Theorem which ...
We show that the orientation class of an oriented matroid of corank ⩾ 3 is completely determined by ...
AbstractMatroids and oriented matroids are fundamental objects in combinatorial geometry. While matr...
Matroids and oriented matroids are fundamental objects in combinatorial geometry. While matroids mod...
AbstractHolt and Klee have recently shown that every (generic) LP orientation of the graph of a d-po...
In a recent article [5] we gave a lattice-theoretical characterization of oriented matroids in term...
AbstractAn oriented matroid lattice is a lattice arising from the span of cocircuits of an oriented ...
Matroids have been defined in 1935 as generalization of graphs and matrices. Starting from the 1950...
AbstractA comparison of two expressions of the Tutte polynomial of an ordered oriented matroid, one ...
Swartz proved that any matroid can be realized as the intersection lattice of an arrangement of codi...
AbstractWe present a new direct proof of the Folkman–Lawrence topological representation theorem for...
AbstractRecently, Goodman et al. have proven two conjectures by Grünbaum right, showing that any arr...
AbstractResults of Folkman and Lawrence and Mandel on representations of oriented matroids by topolo...
AbstractIn this paper, the basic properties of oriented matroids are examined. A topological represe...
We establish a new geometrical characterization of oriented matroids of rank 3. This characterizatio...
A fundamental achievement in the theory of matroids is the Topological Representation Theorem which ...
We show that the orientation class of an oriented matroid of corank ⩾ 3 is completely determined by ...
AbstractMatroids and oriented matroids are fundamental objects in combinatorial geometry. While matr...
Matroids and oriented matroids are fundamental objects in combinatorial geometry. While matroids mod...
AbstractHolt and Klee have recently shown that every (generic) LP orientation of the graph of a d-po...
In a recent article [5] we gave a lattice-theoretical characterization of oriented matroids in term...
AbstractAn oriented matroid lattice is a lattice arising from the span of cocircuits of an oriented ...
Matroids have been defined in 1935 as generalization of graphs and matrices. Starting from the 1950...
AbstractA comparison of two expressions of the Tutte polynomial of an ordered oriented matroid, one ...
Swartz proved that any matroid can be realized as the intersection lattice of an arrangement of codi...