A. Roy

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math.CO2025

The complex of $r$ -co-connected subgraphs, chordality and Fröberg'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 $A$ , $Σ_{r} (A, G)$ , where $r \geq 1$ is a natural number, $G$ is a si…

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…

The complex of r-co-connected subgraphs, chordality and Fröberg's theorem

Stanley-Reisner ideals of higher independence complexes of chordal graphs

The complex of $r$ -co-connected subgraphs, chordality and Fröberg's theorem