1 citations · 3 across the 12 of their papers we have counts for
14 papers
The Mendez-Pinto-Villarreal Conjecture for some classes of monomial ideals
Paromita Bordoloi, Kanoy Kumar Das, Rajiv Kumar
Characterizing when the symbolic and ordinary powers of an ideal coincide is a central problem in commutative algebra, and ideals satisfying this property are called Simis ideals.…
Simis and packing properties of Alexander dual of connected ideals
Om Prakash Bhardwaj, Kanoy Kumar Das, Rutuja Sawant
In this article, we investigate when the ordinary and symbolic powers of the Alexander dual of connected ideals of graphs coincide, and provide a complete classification of all suc…
Hilbert Coefficients and Regularity of Binomial Edge Ideals
Kanoy Kumar Das, Rajiv Kumar, Paramhans Kushwaha
Let be a simple graph on vertices, and let denotes the corresponding binomial edge ideal in , where is a fie…
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 Obtaining New MUBs by Finding Points on Complete Intersection Varieties over
Arindam Banerjee, Kanoy Kumar Das, Ajeet Kumar +2
Mutually Unbiased Bases (MUBs) are closely connected with quantum physics, and the structure has a rich mathematical background. We provide equivalent criteria for extending a set…
Trees whose path ideals have linear quotients
Trung Chau, Kanoy Kumar Das, Animikha Dutta Dhar +2
For any integer , we classify all trees whose -path ideals have linear quotients.
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…
Support-2 monomial ideals that are Simis
Paromita Bordoloi, Kanoy Kumar Das, Rajiv Kumar
A monomial ideal is called a Simis ideal if for all , where denotes the -th symbolic power of . Let…
Edge ideals with linear quotients and without homological linear quotients
Trung Chau, Kanoy Kumar Das, Aryaman Maithani
A monomial ideal is said to have homological linear quotients if for each , the homological shift ideal has linear quotients. It is a well-known fac…
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…
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…