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» On the Generation of Oriented Matroids
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ISAAC
2005
Springer
106views Algorithms» more  ISAAC 2005»
15 years 5 months ago
Generating Cut Conjunctions and Bridge Avoiding Extensions in Graphs
Let G = (V, E) be an undirected graph, and let B ⊆ V × V be a collection of vertex pairs. We give an incremental polynomial time algorithm to enumerate all minimal edge sets X â...
Leonid Khachiyan, Endre Boros, Konrad Borys, Khale...
IPCO
2007
81views Optimization» more  IPCO 2007»
15 years 1 months ago
Matching Problems in Polymatroids Without Double Circuits
According to the present state of the theory of the matroid matching problem, the existence of a good characterization to the size of a maximum matching depends on the behavior of ...
Márton Makai, Gyula Pap, Jácint Szab...
DCG
2000
90views more  DCG 2000»
14 years 11 months ago
On the Cocircuit Graph of an Oriented Matroid
In this paper we consider the cocircuit graph GM of an oriented matroid M, the 1-skeleton of the cell complex W formed by the span of the cocircuits of M. In general, W is not dete...
Raul Cordovil, Komei Fukuda, António Guedes...
GD
1994
Springer
15 years 3 months ago
Visibility Graphs and Oriented Matroids
We describe a set of necessary conditions for a given graph to be the visibility graph of a simple polygon. For every graph satisfying these conditions we show that a uniform rank ...
James Abello, Krishna Kumar
DCG
2002
66views more  DCG 2002»
14 years 11 months ago
A Commutative Algebra for Oriented Matroids
Let V be a vector space of dimension d over a field K and let A be a central arrangement of hyperplanes in V. To answer a question posed by K. Aomoto, P. Orlik and H. Terao constru...
Raul Cordovil