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Conference papers
NBC Complexes of Convex Geometries
Abstract : We introduce a notion of a $\textit{broken circuit}$ and an $\textit{NBC complex}$ for an (abstract) convex geometry. Based on these definitions, we shall show the analogues of the Whitney-Rota's formula and Brylawski's decomposition theorem for broken circuit complexes on matroids for convex geometries. We also present an Orlik-Solomon type algebra on a convex geometry, and show the NBC generating theorem.
Cited literature [13 references]
https://hal.inria.fr/hal-01184369
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Submitted on : Friday, August 14, 2015 - 11:37:53 AM
Last modification on : Monday, May 17, 2021 - 12:00:04 PM
Long-term archiving on: : Sunday, November 15, 2015 - 11:02:22 AM
Contributor : Coordination Episciences Iam Connect in order to contact the contributor
Submitted on : Friday, August 14, 2015 - 11:37:53 AM
Last modification on : Monday, May 17, 2021 - 12:00:04 PM
Long-term archiving on: : Sunday, November 15, 2015 - 11:02:22 AM
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