Nayana Shibu Deepthi

activity

20222024

collaborators

4 papers

math.AC2024

On the $(S_{2})$ -condition of edge rings for cactus graphs

Rodica Dinu, Nayana Shibu Deepthi

A cactus graph is a connected graph in which every block is either an edge or a cycle. In this paper, we will examine cactus graphs where all the blocks are $3$ -cycles, i.e., trian…

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…

math.AC2022

The $h$ -vectors of the edge rings of a special family of graphs

Akihiro Higashitani, Nayana Shibu Deepthi

The $h$ -vectors of homogeneous rings are one of the most important invariants that often reflect ring-theoretic properties. On the other hand, there are few examples of edge rings…

math.AC2022

Non-normal edge rings satisfying $(S_{2})$ -condition

Nayana Shibu Deepthi

Let $G$ be a finite simple connected graph on the vertex set $V (G) = [d] = {1, \dots, d}$ , with edge set $E (G) = {e_{1}, \dots, e_{n}}$ . Let $K [t] = K [t_{1}, \dots, t_{d}]$ be…

On the (S2​)-condition of edge rings for cactus graphs

h-vectors of edge rings of odd-cycle compositions

The h-vectors of the edge rings of a special family of graphs

Non-normal edge rings satisfying (S2​)-condition

On the $(S_{2})$ -condition of edge rings for cactus graphs

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

The $h$ -vectors of the edge rings of a special family of graphs

Non-normal edge rings satisfying $(S_{2})$ -condition