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arXiv · 1907.10268

The norm of the saturation of a binomial ideal, and applications to Markov bases

David Holmes
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Abstract

Given a pure binomial ideal I in variables x_i, we define a new measure of the complexity of the saturation of I with respect to the product of the variables x_i, which we call the norm. We give a bound on the norm in terms of easily-computed invariants of the ideal. We discuss statistical applications both practical and theoretical.

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David Holmes. 2019-07-24. The norm of the saturation of a binomial ideal, and applications to Markov bases. https://doi.org/10.2140/astat.2020.11.169

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