Indispensable monomials of toric ideals and Markov bases
arXiv:math/0511290 · doi:10.1016/j.jsc.2007.07.012
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.
20 pages, 5 figures