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JCT
2007
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A finiteness theorem for Markov bases of hierarchical models
We show that the complexity of the Markov bases of multidimensional tables stabilizes eventually if a single table dimension is allowed to vary. In particular, if this table dimen...
Serkan Hosten, Seth Sullivant
JSC
2006
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Markov bases of three-way tables are arbitrarily complicated
We show the following two universality statements on the entry-ranges and Markov bases of spaces of 3-way contingency tables with fixed 2-margins: (1) For any finite set D of nonn...
Jesús A. De Loera, Shmuel Onn