Kanoy Kumar Das

collaborators

11 papers

math.AC2026

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.…

math.AC2026

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…

math.CO2025

Stanley-Reisner ideals of higher independence complexes of chordal graphs

Kanoy Kumar Das, Amit Roy, Kamalesh Saha

For $t \geq 2$ , the $t$ -independence complex $Ind_{t} (G)$ of a graph $G$ is the collection of all $A \subseteq V (G)$ such that each connected component of the induced subgraph…

math.AC2025

Edge ideals with linear quotients and without homological linear quotients

Trung Chau, Kanoy Kumar Das, Aryaman Maithani

A monomial ideal $I$ is said to have homological linear quotients if for each $k \geq 0$ , the homological shift ideal $HS_{k} (I)$ has linear quotients. It is a well-known fac…

math.AC2025

Hilbert Coefficients and Regularity of Binomial Edge Ideals

Kanoy Kumar Das, Rajiv Kumar, Paramhans Kushwaha

Let $G$ be a simple graph on $n$ vertices, and let $J_{G}$ denotes the corresponding binomial edge ideal in $S = K [x_{1}, \dots, x_{n}, y_{1}, \dots, y_{n}]$ , where $K$ is a fie…

math.AC2025

Support-2 monomial ideals that are Simis

Paromita Bordoloi, Kanoy Kumar Das, Rajiv Kumar

A monomial ideal $I \subseteq K [x_{1}, \dots, x_{n}]$ is called a Simis ideal if $I^{(s)} = I^{s}$ for all $s \geq 1$ , where $I^{(s)}$ denotes the $s$ -th symbolic power of $I$ . Let…