Sourav Sarkar

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math.CO2025

On the Vietoris-Rips Complexes of Integer Lattices

Raju Kumar Gupta, Sourav Sarkar, Samir Shukla

For a metric space $X$ and $r \geq 0$ , the Vietoris-Rips complex $V R (X; r)$ is a simplicial complex whose simplices are finite subsets of $X$ with diameter at most $r$ . Vi…

math.CO2025

Normal $4$ -pseudomanifolds with a relative 2-skeleton

Biplab Basak, Mangaldeep Saha, Sourav Sarkar

The study of face-number-related invariants in simplicial complexes is a central topic in combinatorial topology. Among these, the invariant $g_{2}$ plays a significant role. For a n…

On the Vietoris-Rips Complexes of Integer Lattices

Normal 4-pseudomanifolds with a relative 2-skeleton

Normal $4$ -pseudomanifolds with a relative 2-skeleton