A. Roy

activity

20242026

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3 papers · 1 filter

math.CO2026

The complex of $r$ -co-connected subgraphs, chordality and FrÃ¶berg's theorem

Priyavrat Deshpande, Amit Roy, Rutuja Sawant

We introduce a new family of pure simplicial complexes, called the $r$ -co-connected complex of $G$ with respect to $A$ , $I^£_{r} (A, G)$ , where $r \geq 1$ is a natural number, $G$ is a s…

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…

The complex of r-co-connected subgraphs, chordality and FrÃ¶berg's theorem

Stanley-Reisner ideals of higher independence complexes of chordal graphs

On the path ideals of chordal graphs

The complex of $r$ -co-connected subgraphs, chordality and FrÃ¶berg's theorem