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arXiv · 0809.0786

Neighborliness of Marginal Polytopes

Thomas Kahle
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Abstract

A neighborliness property of marginal polytopes of hierarchical models, depending on the cardinality of the smallest non-face of the underlying simplicial complex, is shown. The case of binary variables is studied explicitly, then the general case is reduced to the binary case. A Markov basis for binary hierarchical models whose simplicial complexes is the complement of an interval is given.

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Thomas Kahle. 2008-09-04. Neighborliness of Marginal Polytopes. https://arxiv.org/abs/0809.0786

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