22 citations · 46 across the 10 of their papers we have counts for
6 papers · 1 filter
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.…