AbstractIn this paper, the basic properties of oriented matroids are examined. A topological representation theorem for oriented matroids is proven, utilizing the notion of an “arrangement of pseudo-hemispheres”. The duality theorem of linear programming is extended to oriented matroids
We show the properties of a class of oriented matroids that properly generalizes the class of orient...
The theory of matroids has been generalized to oriented matroids and, recently, to arithmetic matroi...
AbstractThe many different axiomatizations for matroids all have their uses. In this paper we show t...
AbstractIn this paper, the basic properties of oriented matroids are examined. A topological represe...
AbstractIn this paper we define oriented matroids and develop their fundamental properties, which le...
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 orientation class of an oriented matroid of corank ⩾ 3 is completely determined by ...
This book presents an elementary introduction to the theory of oriented matroids. The way oriented m...
AbstractWe generalize to oriented matroids classical notions of Convexity Theory: faces of convex po...
AbstractFocusing on the interplay between properties of the Grassmann variety and properties of matr...
AbstractResults of Folkman and Lawrence and Mandel on representations of oriented matroids by topolo...
We show that the usual polarity properties of the face lattices of convex polytopes do not extend to...
The theory of matroids has been generalized to oriented matroids and, recently, to arithmetic matroi...
We show the properties of a class of oriented matroids that properly generalizes the class of orient...
The theory of matroids has been generalized to oriented matroids and, recently, to arithmetic matroi...
AbstractThe many different axiomatizations for matroids all have their uses. In this paper we show t...
AbstractIn this paper, the basic properties of oriented matroids are examined. A topological represe...
AbstractIn this paper we define oriented matroids and develop their fundamental properties, which le...
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 orientation class of an oriented matroid of corank ⩾ 3 is completely determined by ...
This book presents an elementary introduction to the theory of oriented matroids. The way oriented m...
AbstractWe generalize to oriented matroids classical notions of Convexity Theory: faces of convex po...
AbstractFocusing on the interplay between properties of the Grassmann variety and properties of matr...
AbstractResults of Folkman and Lawrence and Mandel on representations of oriented matroids by topolo...
We show that the usual polarity properties of the face lattices of convex polytopes do not extend to...
The theory of matroids has been generalized to oriented matroids and, recently, to arithmetic matroi...
We show the properties of a class of oriented matroids that properly generalizes the class of orient...
The theory of matroids has been generalized to oriented matroids and, recently, to arithmetic matroi...
AbstractThe many different axiomatizations for matroids all have their uses. In this paper we show t...
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