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MiS Preprint
57/2008

Neighborliness of Marginal Polytopes

Thomas Kahle

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.

Received:
Sep 4, 2008
Published:
Sep 8, 2008
MSC Codes:
52B05, 60C05
Keywords:
Marginal Polytopes, Markov Bases, hierarchical models

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inJournal
2010 Journal Open Access
Thomas Kahle

Neighborliness of marginal polytopes

In: Beiträge zur Algebra und Geometrie, 51 (2010) 1, pp. 45-56