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arXiv · 1910.02721

Gröbner bases for staged trees

Lamprini Ananiadi·Eliana Duarte
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Abstract

In this article we consider the problem of finding generators of the toric ideal associated to a combinatorial object called a staged tree. Our main theorem states that toric ideals of staged trees that are balanced and stratified are generated by a quadratic Gröbner basis whose intial terms are squarefree. The proof of this result is based on Sullivant's toric fiber product construction.

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Lamprini Ananiadi, Eliana Duarte. 2019-10-07. Gröbner bases for staged trees. https://doi.org/10.2140/astat.2021.12.1

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