7 citations · 9 across the 10 of their papers we have counts for
10 papers
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…
The complex of -co-connected subgraphs, chordality and Fröberg's theorem
Priyavrat Deshpande, Amit Roy, Rutuja Sawant
We introduce a new family of pure simplicial complexes, called the -co-connected complex of with respect to , , where is a natural number, is a si…
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…
Stanley-Reisner ideals of higher independence complexes of chordal graphs
Kanoy Kumar Das, Amit Roy, Kamalesh Saha
For , the -independence complex of a graph is the collection of all such that each connected component of the induced subgraph…
Square-free powers of Cohen-Macaulay forests, cycles, and whiskered cycles
Kanoy Kumar Das, Amit Roy, Kamalesh Saha
Let denote the square-free power of the edge ideal of a graph . In this article, we provide a precise formula for the depth of when …
On the path ideals of chordal graphs
Kanoy Kumar Das, Amit Roy, Kamalesh Saha
In this article, we give combinatorial formulas for the regularity and the projective dimension of -path ideals of chordal graphs, extending the well-known formulas for the edge…
Incomplete Quadratic Exponential Sums in Several Variables
Eduardo Duenez, Steven J. Miller, Howard Straubing +1
We consider incomplete exponential sums in several variables of the form S(f,n,m) = \frac{1}{2^n} \sum_{x_1 \in \{-1,1\}} ... \sum_{x_n \in \{-1,1\}} x_1 ... x_n e^{2πi f(x)/p}, wh…