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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

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

Related publications

inJournal
2010 Journal Open Access
Thomas Kahle

Neighborliness of marginal polytopes

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