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Start Over Author "Takayuki Koyama" Journal journal of algebraic statistics
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1. Markov degree of configurations defined by fibers of a configuration.

Author

Takayuki Koyama, Mitsunori Ogawa, and Akimichi Takemura

Subjects
*CONFIGURATIONS (Geometry), *POLYTOPES, *MARKOV processes, *ALGEBRA, *MATRICES (Mathematics)
Abstract

We consider a series of configurations defined by fibers of a given base configuration. We prove that Markov degree of the configurations is bounded from above by the Markov complexity of the base configuration. As important examples of base configurations we consider incidence matrices of graphs and study the maximum Markov degree of configurations defined by fibers of the incidence matrices. In particular we give a proof that the Markov degree for two-way transportation polytopes is three. [ABSTRACT FROM AUTHOR]

Published
2015
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