Akihiro Higashitani

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20232026

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math.AC2024

Binomial edge rings of complete bipartite graphs

Akihiro Higashitani

We introduce a new class of algebras arising from graphs, called binomial edge rings. Given a graph $G$ on $d$ vertices with $n$ edges, the binomial edge ring of $G$ is defined to…

math.AC2023

$h$ -vectors of edge rings of odd-cycle compositions

Kieran Bhaskara, Akihiro Higashitani, Nayana Shibu Deepthi

Let $K [G]$ be the edge ring of a finite simple graph $G$ . Investigating properties of the $h$ -vector of $K [G]$ is of great interest in combinatorial commutative a…

Binomial edge rings of complete bipartite graphs

h-vectors of edge rings of odd-cycle compositions

$h$ -vectors of edge rings of odd-cycle compositions