Janet Bases of Toric Ideals
Vladimir P. Gerdt, Yuri A. Blinkov

TL;DR
This paper introduces a specialized algorithm for computing Janet bases of toric ideals, utilizing Janet trees for efficient divisor search, and discusses its efficiency for practical applications.
Contribution
It presents a tailored polynomial involutive algorithm for toric ideals and introduces Janet trees to enhance computational speed.
Findings
Janet trees enable fast divisor searches.
The specialized algorithm improves efficiency in computing toric ideals.
Discussion on practical efficiency issues for the algorithm.
Abstract
In this paper we present a version of the general polynomial involutive algorithm for computing Janet bases specialized to toric ideals. The relevant data structures are Janet trees which provide a very fast search for a Janet divisor. We broach also efficiency issues in view of application of the algorithm presented to computation of toric ideals.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Polynomial and algebraic computation · Rings, Modules, and Algebras
