Sourav Sarkar

activity

20222025

g_{2}

-minimal normal 3-pseudomanifolds with at most four singularities

2 citations · 2 across the 5 of their papers we have counts for

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4 papers · 1 filter

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…

math.CO2024

On the matching complexes of categorical product of path graphs

Raju Kumar Gupta, Sourav Sarkar, Sagar S. Sawant +1

The matching complex $M (G)$ of a graph $G$ is a simplicial complex whose simplices are matchings in $G$ . These complexes appear in various places and found applications in…

math.CO2022★ 2 cited

A characterization of $g_{2}$ -minimal normal 3-pseudomanifolds with at most four singularities

Biplab Basak, Raju Kumar Gupta, Sourav Sarkar

Let $Δ$ be a $g_{2}$ -minimal normal 3-pseudomanifold. A vertex in $Δ$ whose link is not a sphere is called a singular vertex. When $Δ$ contains at most two singular vertices, its com…

On the Vietoris-Rips Complexes of Integer Lattices

Normal 4-pseudomanifolds with a relative 2-skeleton

On the matching complexes of categorical product of path graphs

A characterization of g2​-minimal normal 3-pseudomanifolds with at most four singularities

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

A characterization of $g_{2}$ -minimal normal 3-pseudomanifolds with at most four singularities