7 citations · 9 across the 10 of their papers we have counts for
5 papers · 2 filters
Equality of ordinary and symbolic powers and the Conforti-Cornuéjols conjecture for -uniform clutters
Amit Roy, Kamalesh Saha
Let be an equigenerated squarefree monomial ideal in the polynomial ring , and let be a uniform clutter on the vertex set $\{x_1,\ldot…
Admissible set and squarefree-power-like function with applications to squarefree symbolic powers
Trung Chau, Kanoy Kumar Das, Amit Roy +1
We introduce the abstract notion of squarefree-power-like functions, which unify the sequences of squarefree ordinary and symbolic powers of squarefree monomial ideals. By employin…
On the homological shifts of cover ideals of Cohen-Macaulay graphs
Amit Roy, Kamalesh Saha
For a non-negative integer , let denote the homological shift ideal of the vertex cover ideal of a graph . For each ,…
Admissible matchings and the Castelnuovo-Mumford regularity of square-free powers
Trung Chau, Kanoy Kumar Das, Amit Roy +1
Let be any square-free monomial ideal, and denote the hypergraph associated with . Refining the concept of -admissible matching of a graph defined by Erey…
Square-free powers of Cohen-Macaulay simplicial forests
Kanoy Kumar Das, Amit Roy, Kamalesh Saha
Let denote the square-free power of the facet ideal of a simplicial complex in a polynomial ring . Square-free powers are intimately related to…