Markov degree of configurations defined by fibers of a configuration Algebraic Statistics Markov basis Transportation polytopes 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. Koyama, Takayuki Ogawa, Mitsunori Takemura, Akimichi 2015 2015-11-09 Article application/pdf islandora:1007808 http://hdl.handle.net/10560/islandora:1007808 MATH / Applied Mathematics Illinois Institute of Technology Journal of Algebraic Statistics en Open Access