65 citations · 344 across the 51 of their papers we have counts for
Showing 2020Show all
3 papers · 1 filter
math.AC2020★ 3 cited
Edge rings with -linear resolutions
Kenta Mori, Hidefumi Ohsugi, Akiyoshi Tsuchiya
In the present paper, we give a complete classification of connected simple graphs whose edge rings have a -linear resolution with . In particular, we show that the ed…
math.AC2020
Quadratic Gröbner bases of block diagonal matching field ideals and toric degenerations of Grassmannians
Akihiro Higashitani, Hidefumi Ohsugi
In the present paper, we prove that the toric ideals of certain -block diagonal matching fields have quadratic Gröbner bases. Thus, in particular, those are quadratically genera…
math.CO2020★ 10 cited
Symmetric edge polytopes and matching generating polynomials
Hidefumi Ohsugi, Akiyoshi Tsuchiya
Symmetric edge polytopes of type A are lattice polytopes arising from the root system and finite simple graphs . There is a connection between $\mathcal{A}…