Two way subtable sum problems and quadratic Groebner bases
Commutative Algebra
2018-08-22 v2 Combinatorics
Abstract
Hara, Takemura and Yoshida discuss toric ideals arising from two way subtable sum problems and shows that these toric ideals are generated by quadratic binomials if and only if the subtables are either diagonal or triangular. In the present paper, we show that if the subtables are either diagonal or triangular, then their toric ideals possess quadratic Groebner bases.
Cite
@article{arxiv.0711.2938,
title = {Two way subtable sum problems and quadratic Groebner bases},
author = {Hidefumi Ohsugi and Takayuki Hibi},
journal= {arXiv preprint arXiv:0711.2938},
year = {2018}
}
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3 pages