Neighborliness of Marginal Polytopes - Mathematics > CombinatoricsReport as inadecuate

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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 underlyingsimplicial complex, is shown. The case of binary variables is studiedexplicitly, then the general case is reduced to the binary case. A Markov basisfor binary hierarchical models whose simplicial complexes is the complement ofan interval is given.

Author: Thomas Kahle


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