22 citations · 77 across the 21 of their papers we have counts for
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Lovász-Saks-Schrijver ideals and parity binomial edge ideals of graphs
Arvind Kumar
Let be a simple graph on vertices. Let denote the Lovász-Saks-Schrijver(LSS) ideal and parity binomial edge ideal of in the polynom…
Binomial Edge Ideals of Generalized block graphs
Arvind Kumar
We classify generalized block graphs whose binomial edge ideals admit a unique extremal Betti number. We prove that the Castelnuovo-Mumford regularity of binomial edge ideals of ge…
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…
Upper bounds for the regularity of symbolic powers of certain classes of edge ideals
Arvind Kumar, S Selvaraja
Let be a finite simple graph and denote the corresponding edge ideal in a polynomial ring over a field . In this paper, we obtain upper bounds for the Castel…
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…