Pruning processes and a new characterization of convex geometries

Autor: Elitza Maneva, Federico Ardila
Rok vydání: 2009
Předmět:
Zdroj: Discrete Mathematics. 309(10):3083-3091
ISSN: 0012-365X
DOI: 10.1016/j.disc.2008.08.020
Popis: We provide a new characterization of convex geometries via a multivariate version of an identity that was originally proved by Maneva, Mossel and Wainwright for certain combinatorial objects arising in the context of the k-SAT problem. We thus highlight the connection between various characterizations of convex geometries and a family of removal processes studied in the literature on random structures.
14 pages, 3 figures; the exposition has changed significantly from previous version
Databáze: OpenAIRE