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arxiv: math/0511290 · v2 · submitted 2005-11-11 · 🧮 math.ST · stat.TH

Indispensable monomials of toric ideals and Markov bases

classification 🧮 math.ST stat.TH
keywords indispensabletoricidealbinomialsmonomialssomebasescontingency
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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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