Kanoy Kumar Das

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20242026

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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.CO2024

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 $3$ -path ideals of chordal graphs, extending the well-known formulas for the edge…