a Department of Mathematics, San Francisco State University, 94132 San Francisco, CA, USA b IBM Almaden Research Center, 95120 San José, CA, USA
Abstract:
We provide a new characterization of convex geometries via a multivariate version of an identity that was originally proved, in a special case arising from the k-SAT problem, by Maneva, Mossel and Wainwright. We thus highlight the connection between various characterizations of convex geometries and a family of removal processes studied in the literature on random structures.