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» On the Generation of Oriented Matroids
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ISAAC
2005
Springer
106views Algorithms» more  ISAAC 2005»
14 years 29 days 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»
13 years 9 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»
13 years 7 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
13 years 11 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»
13 years 7 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