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# Finding Minimal Separators in LWF Chain Graphs

*Proceedings of the Ninth International Conference on Probabilistic Graphical Models*, PMLR 72:193-200, 2018.

#### Abstract

We address the problem of finding a minimal separator in a LWF chain graph, namely, finding a set $Z$ of nodes that separates a given non-adjacent pair of nodes such that no proper subset of $Z$ separates that pair. We analyze several versions of this problem and offer polynomial time algorithms for each. These include finding a minimal separator from a restricted set of nodes, finding a minimal separator for two given disjoint sets, and testing whether a given separator is minimal.