30 citations · 81 across the 15 of their papers we have counts for
6 papers · 1 filter
Ordinary and symbolic powers of edge ideals of weighted oriented graphs
Arindam Banerjee, Kanoy Kumar Das, S. Selvaraja
Let be a weighted oriented graph and be its edge ideal. In this paper, we show that all the symbolic and ordinary powers of coincide…
Symbolic powers of multipartite hypergraphs and Waldschmidt constant
A. Alilooee, A. Banerjee
In this paper, we find a criterion to answer when the second symbolic and ordinary powers of the edge ideal of a 3-partite hypergraph are equal. Also, we give the formula to comput…
Generalized Hilbert-Kunz function of the Rees algebra of the face ring of a simplicial complex
Arindam Banerjee, Kriti Goel, J. K. Verma
Let be the face ring of a simplicial complex of dimension and be the Rees algebra of the maximal homogeneous ideal of We…
Regularity of Edge Ideals Via Suspension
Arindam Banerjee, Eran Nevo
We study the Castelnuovo-Mumford regularity of powers of edge ideals. We prove that if G is a bipartite graph, then reg(I(G)^s) \leq 2s + reg I(G) - 2 for all s \geq 2, which is th…
Packing properties of cubic squarefree monomial ideals
Ali Alilooee, Arindam Banerjee
The symbolic powers, in general, are not equal to the ordinary powers. Therefore, one interesting question here is for what classes of ideals ordinary and symbolic powers coincide?…
Graph Connectivity and Binomial Edge Ideals
Arindam Banerjee, Luis Núñez-Betancourt
We relate homological properties of a binomial edge ideal to invariants that measure the connectivity of a simple graph . Specifically, we show if $R/\mathcal{J}…