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Generation of Oriented Matroids—A Graph Theoretical Approach

✍ Scribed by L. Finschi; K. Fukuda


Publisher
Springer
Year
2002
Tongue
English
Weight
234 KB
Volume
27
Category
Article
ISSN
0179-5376

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For an undirected graph G = (V,E) let i'(G) be the largest d for which there exists an oriented matroid M on V of corank d such that for each nonzero vector (x+,x-) of M, x+ is nonempty and induces a connected subgraph of G. We show that I'(G) is monotone under taking minors and clique sums. Moreov