Indispensable monomials of toric ideals and Markov bases

Details Indispensable monomials of toric ideals and Markov bases Indispensable monomials of toric ideals and Markov bases

2005-11-11

arxiv.org/abs/math/0511290v2

Journal of Symbobic Computation, Vol.43, 490-507, 2008.

Mathematics

Statistics Theory

20 pages, 5 figures

Scientific paper

10.1016/j.jsc.2007.07.012

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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