Kanoy Kumar Das

activity

20212026

most citedOrdinary and symbolic powers of edge ideals of weighted oriented graphs

1 citations · 3 across the 12 of their papers we have counts for

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9 papers · 1 filter

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

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…

cs.DM2025

On Obtaining New MUBs by Finding Points on Complete Intersection Varieties over $R$

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…

math.AC2025

Trees whose path ideals have linear quotients

Trung Chau, Kanoy Kumar Das, Animikha Dutta Dhar +2

For any integer $n$ , we classify all trees whose $n$ -path ideals have linear quotients.

math.AC2025

Admissible matchings and the Castelnuovo-Mumford regularity of square-free powers

Trung Chau, Kanoy Kumar Das, Amit Roy +1

Let $I$ be any square-free monomial ideal, and $H_{I}$ denote the hypergraph associated with $I$ . Refining the concept of $k$ -admissible matching of a graph defined by Erey…

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…

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

Square-free powers of Cohen-Macaulay simplicial forests

Kanoy Kumar Das, Amit Roy, Kamalesh Saha

Let $I (Δ)^{[k]}$ denote the $k^{th}$ square-free power of the facet ideal of a simplicial complex $Δ$ in a polynomial ring $R$ . Square-free powers are intimately related to…

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…

Hilbert Coefficients and Regularity of Binomial Edge Ideals

Admissible set and squarefree-power-like function with applications to squarefree symbolic powers

On Obtaining New MUBs by Finding Points on Complete Intersection Varieties over R

Trees whose path ideals have linear quotients

Admissible matchings and the Castelnuovo-Mumford regularity of square-free powers

Support-2 monomial ideals that are Simis

Edge ideals with linear quotients and without homological linear quotients

Square-free powers of Cohen-Macaulay simplicial forests

Stanley-Reisner ideals of higher independence complexes of chordal graphs

On Obtaining New MUBs by Finding Points on Complete Intersection Varieties over $R$