52 citations · 368 across the 27 of their papers we have counts for
4 papers · 2 filters
Regularity, Rees algebra and Betti numbers of certain cover ideals
Ajay Kumar, Rajiv Kumar
Let be a polynomial ring, where is a field. This article deals with the defining ideal of the Rees algebra of squarefree monomial ideal genera…
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…
Regularity of Symbolic Powers of Edge Ideals
A. V. Jayanthan, Rajiv Kumar
In this article, we prove that for several classes of graphs, the Castelnuovo-Mumford regularity of symbolic powers of their edge ideals coincide with that of their ordinary powers…
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.…