NBC Complexes of Convex Geometries

Kenji Kashiwabara 1 Masataka Nakamura 1
1 Department of Quantum Engineering and Systems Science, Graduate School of Engineering The University of Tokyo
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.
Keywords : broken circuit characteristic polynomial NBC basis theorem
Type de document :
Communication dans un congrès
Stefan Felsner. 2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05), 2005, Berlin, Germany. Discrete Mathematics and Theoretical Computer Science, DMTCS Proceedings vol. AE, European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05), pp.207-212, 2005, DMTCS Proceedings
Liste complète des métadonnées

Littérature citée [13 références]  Voir  Masquer  Télécharger
https://hal.inria.fr/hal-01184369
Contributeur : Coordination Episciences Iam <>
Soumis le : vendredi 14 août 2015 - 11:37:53
Dernière modification le : jeudi 11 mai 2017 - 01:02:53
Document(s) archivé(s) le : dimanche 15 novembre 2015 - 11:02:22

Fichier

dmAE0141.pdf
Fichiers éditeurs autorisés sur une archive ouverte

Identifiants

  • HAL Id : hal-01184369, version 1

Collections

INSMI | TDS-MACS

Citation

Kenji Kashiwabara, Masataka Nakamura. NBC Complexes of Convex Geometries. Stefan Felsner. 2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05), 2005, Berlin, Germany. Discrete Mathematics and Theoretical Computer Science, DMTCS Proceedings vol. AE, European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05), pp.207-212, 2005, DMTCS Proceedings. 〈hal-01184369〉

Exporter

BibTeX TEI DC DCterms EndNote

Partager

Métriques

Consultations de la notice

243

Téléchargements de fichiers

202

Contact


archive-ouverte@inria.fr