Pruning Processes and a New Characterization of Convex Geometries

Details Pruning Processes and a New Characterization of Convex Geometries Pruning Processes and a New Characterization of Convex Geometries

2007-06-26

arxiv.org/abs/0706.3750v4

Mathematics

Combinatorics

14 pages, 3 figures; the exposition has changed significantly from previous version

Scientific paper

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.

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