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On the cocircuit graph of an oriented matroid

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Publication:1580748
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DOI10.1007/s004540010031zbMath0958.52016OpenAlexW2008722267MaRDI QIDQ1580748

Komei Fukuda, António Guedes de Oliveira, Raul Cordovil

Publication date: 2 April 2001

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s004540010031


zbMATH Keywords

oriented matroidscell complexcocircuit graph


Mathematics Subject Classification ID

Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Combinatorial aspects of matroids and geometric lattices (05B35)


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Diameters of cocircuit graphs of oriented matroids: an update ⋮ Cubic time recognition of cocircuit graphs of uniform oriented matroids ⋮ Corners and simpliciality in oriented matroids and partial cubes ⋮ Unnamed Item ⋮ Cocircuit graphs and efficient orientation reconstruction in oriented matroids ⋮ Polynomial Time Recognition of Uniform Cocircuit Graphs ⋮ Graph encoding of 2D-gon tilings




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