AbstractWe generalize to oriented matroids classical notions of Convexity Theory: faces of convex polytopes, convex hull, etc., and prove some basic properties. We relate the number of acyclic orientations of an orientable matroid to an evaluation of its Tutte polynomial
AbstractConsider the moment curve in the real euclidean space Rddefined parametrically by the map γ:...
AbstractWe define and study a new class of matroids: cubic matroids. Cubic matroids include, as a pa...
We characterize the class of graphs in which the edges can be oriented in such a way that going alon...
AbstractWe generalize to oriented matroids classical notions of Convexity Theory: faces of convex po...
Matroids have been defined in 1935 as generalization of graphs and matrices. Starting from the 1950...
Matroids have been defined in 1935 as generalization of graphs and matrices. Starting from the 1950...
AbstractIn this paper we define oriented matroids and develop their fundamental properties, which le...
We show that the usual polarity properties of the face lattices of convex polytopes do not extend to...
AbstractIn this paper, the basic properties of oriented matroids are examined. A topological represe...
AbstractUsing the theory of the anti-exchange closure the structure of the lattice of convex sets of...
This book presents an elementary introduction to the theory of oriented matroids. The way oriented m...
AbstractWe characterize the class of graphs in which the edges can be oriented in such a way that go...
AbstractWe characterize the class of graphs in which the edges can be oriented in such a way that go...
AbstractThe oriented matroid is a structure combining the notions of independent set and opposite el...
We characterize the class of graphs in which the edges can be oriented in such a way that going alon...
AbstractConsider the moment curve in the real euclidean space Rddefined parametrically by the map γ:...
AbstractWe define and study a new class of matroids: cubic matroids. Cubic matroids include, as a pa...
We characterize the class of graphs in which the edges can be oriented in such a way that going alon...
AbstractWe generalize to oriented matroids classical notions of Convexity Theory: faces of convex po...
Matroids have been defined in 1935 as generalization of graphs and matrices. Starting from the 1950...
Matroids have been defined in 1935 as generalization of graphs and matrices. Starting from the 1950...
AbstractIn this paper we define oriented matroids and develop their fundamental properties, which le...
We show that the usual polarity properties of the face lattices of convex polytopes do not extend to...
AbstractIn this paper, the basic properties of oriented matroids are examined. A topological represe...
AbstractUsing the theory of the anti-exchange closure the structure of the lattice of convex sets of...
This book presents an elementary introduction to the theory of oriented matroids. The way oriented m...
AbstractWe characterize the class of graphs in which the edges can be oriented in such a way that go...
AbstractWe characterize the class of graphs in which the edges can be oriented in such a way that go...
AbstractThe oriented matroid is a structure combining the notions of independent set and opposite el...
We characterize the class of graphs in which the edges can be oriented in such a way that going alon...
AbstractConsider the moment curve in the real euclidean space Rddefined parametrically by the map γ:...
AbstractWe define and study a new class of matroids: cubic matroids. Cubic matroids include, as a pa...
We characterize the class of graphs in which the edges can be oriented in such a way that going alon...
DOI
Add to ORKG