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DCG
2000
90views more  DCG 2000»
14 years 11 days 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...
JCT
2006
79views more  JCT 2006»
14 years 15 days ago
A characterization of cocircuit graphs of uniform oriented matroids
The cocircuit graph of an oriented matroid is the 1-skeleton of the cellular decomposition induced by the Topological Representation Theorem due to Folkman and Lawrence (1978) [J....
Juan José Montellano-Ballesteros, Ricardo S...