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Journal of Combinatorial Theory Series B
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Journal of Combinatorial Theory Series B
Article . 1978
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Journal of Combinatorial Theory Series B
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Oriented matroids

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 1978Publisher:Elsevier BVJournal:Journal of Combinatorial Theory, Series B, volume 25, pages 199-236 (issn: 0095-8956, Copyright policy )
Authors: Folkman, Jon; Lawrence, Jim;

doi: 10.1016/0095-8956(78)90039-4

Oriented matroids

Abstract

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.

Related Organizations
Keywords

Computational Theory and Mathematics, Discrete Mathematics and Combinatorics, Combinatorial aspects of matroids and geometric lattices, Theoretical Computer Science

  • BIP!
    Impact byBIP!
    citations
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 191
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 1%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Top 10%
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
191
Top 10%
Top 1%
Top 10%
hybrid