Rajib Sarkar

activity

20182020

collaborators

8 papers

math.AC2020

Bound for the regularity of binomial edge ideals of cactus graphs

A. V. Jayanthan, Rajib Sarkar

In this article, we obtain an upper bound for the regularity of the binomial edge ideal of a graph whose every block is either a cycle or a clique. As a consequence, we obtain an u…

math.AC2019

Regularity of powers of quadratic sequences with applications to binomial ideals

A. V. Jayanthan, Arvind Kumar, Rajib Sarkar

In this article, we obtain an upper bound for the Castelnuovo-Mumford regularity of powers of an ideal generated by a homogeneous quadratic sequence in a polynomial ring in terms o…

math.AC2019

Certain Algebraic Invariants of Edge Ideals of Join of Graphs

Arvind Kumar, Rajiv Kumar, Rajib Sarkar

Let $G$ be a simple graph and $I (G)$ be its edge ideal. In this article, we study the Castelnuovo-Mumford regularity of symbolic powers of edge ideals of join of graphs. As a conse…

math.AC2019

Almost complete intersection binomial edge ideals and their Rees algebras

A. V. Jayanthan, Arvind Kumar, Rajib Sarkar

Let $G$ be a simple graph on $n$ vertices and $J_{G}$ denote the binomial edge ideal of $G$ in the polynomial ring $S = K [x_{1}, \dots, x_{n}, y_{1}, \dots, y_{n}] .$ In this artic…

math.AC2019

Depth and Extremal Betti Number of Binomial Edge Ideals

Arvind Kumar, Rajib Sarkar

Let $G$ be a simple graph on the vertex set $[n]$ and $J_{G}$ be the corresponding binomial edge ideal. Let $G = v * H$ be the cone of $v$ on $H$ . In this article, we compute all the Bet…

math.AC2019

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.…