Pruning Processes and a New Characterization of Convex Geometries
arXiv:0706.3750
Abstract
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