Reduced Grobner Basis With Double Exponential Cardinality

Autor: Morye, Archana S, B, Sreenanda S, Saivasan, Prakash
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: In this article, we investigate the cardinality of Grobner basis under various orderings. We identify a family of polynomials F and a criteria for the monomial orderings such that the reduced Grobner basis is double exponential in cardinality. We also show that the said criteria is satisfied by orderings such as lexicographic, degree lexicographic and weighted orderings.
Comment: 18 pages,2 figures
Databáze: arXiv