22 citations · 46 across the 10 of their papers we have counts for
13 papers
Algebraic properties of binomial edge ideals of Levi graphs associated with curve arrangements
Rupam Karmakar, Rajib Sarkar, Aditya Subramaniam
In this article, we study algebraic properties of binomial edge ideals of Levi graphs associated with certain plane curve arrangements. Using combinatorial properties of Levi graph…
Level and pseudo-Gorenstein path polyominoes
Giancarlo Rinaldo, Francesco Romeo, Rajib Sarkar
We classify path polyominoes which are level and pseudo-Gorenstein. Moreover, we compute all level and pseudo-Gorenstein simple thin polyominoes with rank less than or equal to 10.…
Level and pseudo-Gorenstein binomial edge ideals
Giancarlo Rinaldo, Rajib Sarkar
We prove that level binomial edge ideals with regularity 2 and pseudo-Gorenstein binomial edge ideals with regularity 3 are cones, and we describe them completely. Also, we charact…
Depth of Binomial Edge Ideals in terms of Diameter and Vertex Connectivity
A. V. Jayanthan, Rajib Sarkar
Let be a simple connected non-complete graph and be its binomial edge ideal in a polynomial ring . Using certain invariants associated to graphs, say , Banerjee…
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…
Binomial Edge Ideals of Unicyclic Graphs
Rajib Sarkar
Let be a connected simple graph on the vertex set . Banerjee-Betancourt proved that . In this article, we prove that if is a unicyclic graph, the…
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…
Certain Algebraic Invariants of Edge Ideals of Join of Graphs
Arvind Kumar, Rajiv Kumar, Rajib Sarkar
Let be a simple graph and 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…
Almost complete intersection binomial edge ideals and their Rees algebras
A. V. Jayanthan, Arvind Kumar, Rajib Sarkar
Let be a simple graph on vertices and denote the binomial edge ideal of in the polynomial ring In this artic…
Depth and Extremal Betti Number of Binomial Edge Ideals
Arvind Kumar, Rajib Sarkar
Let be a simple graph on the vertex set and be the corresponding binomial edge ideal. Let be the cone of on . In this article, we compute all the Bet…
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 when is either a crown graph or a complete multipartite graph.…
New Classes of Infinite Image Partition Regular Matrices Near Zero
Ram Chandra Manna, Sourav Kanti Patra, Rajib Sarkar
Image partition regular matrices near zero generalizes many classical results of Ram- sey Theory. There are several characterizations of finite image partition regular matrices nea…
Hilbert Series Of Binomial Edge Ideals
Arvind Kumar, Rajib Sarkar
Let be a finite simple graph on vertices and denote the corresponding binomial edge ideal in the polynomial ring In this…