Indispensable monomials of toric ideals and Markov bases
Satoshi Aoki, Akimichi Takemura, Ruriko Yoshida
Abstract
Extending the notion of indispensable binomials of a toric ideal, we define indispensable monomials of a toric ideal and establish some of their properties. They are useful for searching indispensable binomials of a toric ideal and for proving the existence or non-existence of a unique minimal system of binomials generators of a toric ideal. Some examples of indispensable monomials from statistical models for contingency tables are given.
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