Yuta Hatasa

collaborators

2 papers

math.AC2026

A palindromicity criterion for the $h$ -polynomials of bipartite edge rings

Yuta Hatasa

We study a symmetry problem for the $h$ -polynomials of edge rings of bipartite graphs. Let $G$ be a bipartite graph and write $h (k [G]; t) = h_{0} + h_{1} t + \dots + h_{s} t^{s}$ . We prove…

math.AC2024

Pseudo-Gorenstein edge rings and a new family of almost Gorenstein edge rings

Yuta Hatasa, Nobukazu Kowaki, Koji Matsushita

In this paper, we study edge rings and their $h$ -polynomials. We investigate when edge rings are pseudo-Gorenstein, which means that the leading coefficients of the $h$ -polynomials…

A palindromicity criterion for the h-polynomials of bipartite edge rings

Pseudo-Gorenstein edge rings and a new family of almost Gorenstein edge rings

A palindromicity criterion for the $h$ -polynomials of bipartite edge rings