S. Selvaraja

activity

20162026

most citedUpper bounds for the regularity of powers of edge ideals of graphs

13 citations · 33 across the 13 of their papers we have counts for

collaborators

13 papers

math.AC2026

Regularity of Squarefree Powers of Edge Ideals of Whiskered Cycles

Sanjoy Das, Arka Ghosh, S Selvaraja

Let $G$ be a finite simple graph and let $I (G)$ denote its edge ideal. For $q \geq 1$ , the $q$ -th squarefree power $I (G)^{[q]}$ is generated by squarefree monomials corresponding to…

math.AC2026

Cohen-Macaulayness of squarefree powers of edge ideals of whisker graphs

Rakesh Ghosh, S Selvaraja

Let $G$ be a finite simple graph with edge ideal $I (G)$ . For $q \geq 1$ , the $q$ -th squarefree power $I (G)^{[q]}$ is generated by products of $q$ pairwise disjoint edges of $G$ . It i…

math.AC2021

Componentwise Linearity of Powers of Cover Ideals

S. Selvaraja, Joseph W. Skelton

Let $G$ be a finite simple graph and $J (G)$ denote its vertex cover ideal in a polynomial ring over a field. % $K$ . The $k$ -th symbolic power of $J (G)$ is denoted by $J(G)…

math.AC2021★ 1 cited

Ordinary and symbolic powers of edge ideals of weighted oriented graphs

Arindam Banerjee, Kanoy Kumar Das, S. Selvaraja

Let $D$ be a weighted oriented graph and $I (D)$ be its edge ideal. In this paper, we show that all the symbolic and ordinary powers of $I (D)$ coincide…

math.AC2019★ 4 cited

Symbolic powers of vertex cover ideals

S Selvaraja

Let $G$ be a finite simple graph and $J (G)$ denote its cover ideal in a polynomial ring over a field $K$ . In this paper, we show that all symbolic powers of cover ideals o…

math.AC2019

Bounds for the regularity of product of edge ideals

Arindam Banerjee, Priya Das, S. Selvaraja

Let $I$ and $J$ be edge ideals in a polynomial ring $R = K [x_{1}, \dots, x_{n}]$ with $I \subseteq J$ . In this paper, we obtain a general upper and lower bound for the Castelnu…

math.AC2019

Upper bounds for the regularity of symbolic powers of certain classes of edge ideals

Arvind Kumar, S Selvaraja

Let $G$ be a finite simple graph and $I (G)$ denote the corresponding edge ideal in a polynomial ring over a field $K$ . In this paper, we obtain upper bounds for the Castel…

math.AC2019★ 2 cited

Symbolic powers of certain cover ideals of graphs

Arvind Kumar, Rajiv Kumar, Rajib Sarkar +1

In this paper, we compute the regularity and Hilbert series of symbolic powers of the cover ideal of a graph $G$ when $G$ is either a crown graph or a complete multipartite graph.…

math.AC2019

Linear resolution of products of monomial ideals related to maximal minors

Arindam Banerjee, Dipankar Ghosh, S. Selvaraja

Let $X$ be an $m \times n$ matrix of distinct indeterminates over a field $K$ , where $m \leq n$ . Set the polynomial ring $K [X] := K [X_{ij} : 1 \leq i \leq m, 1 \leq j \leq n]$ …

math.AC2018★ 13 cited

Upper bounds for the regularity of powers of edge ideals of graphs

A. V. Jayanthan, S. Selvaraja

Let $G$ be a finite simple graph and $I (G)$ denote the corresponding edge ideal. In this paper, we obtain upper bounds for the Castelnuovo-Mumford regularity of $I (G)^{q}$ in terms o…

math.AC2017★ 2 cited

Linear polynomial for the regularity of powers of edge ideals of very well-covered graphs

A V Jayanthan, S Selvaraja

Let $G$ be a finite simple graph and $I (G)$ denote the corresponding edge ideal. In this paper we prove that if $G$ is a very well-covered graph then for all $s \geq 2$ the regular…

math.AC2017★ 9 cited

Regularity of Powers of Unicyclic Graphs

Ali Alilooee, Selvi Kara, S. Selvaraja

Let $G$ be a finite simple graph and $I (G)$ denote the corresponding edge ideal. In this paper we prove that if $G$ is a unicyclic graph then for all $s \geq 1$ the regularity of $…

math.AC2016★ 2 cited

Regularity of Powers of Bipartite Graphs

A V Jayanthan, N Narayanan, S Selvaraja

Let $G$ be a finite simple graph and $I (G)$ denote the corresponding edge ideal. For all $s \geq 1$ , we obtain upper bounds for reg $(I (G)^{s})$ for bipartite graphs. We then compare…