52 citations · 368 across the 27 of their papers we have counts for
5 papers · 1 filter
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…
Self-similar solutions for finite size advection-dominated accretion flows
Rajiv Kumar, Wei-Min Gu
We investigated effects on flow variables of transonic advection-dominated accretion flows (ADAFs) for different outer boundary locations (BLs) with a changing energy constant (…
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.…