Sourav Sarkar

collaborators

5 papers

math.GT2026

Minimal simplicial degree $d$ self-maps of $S^{n - 1} \times S^{1}$

Anshu Agarwal, Biplab Basak, Sourav Sarkar

The degree of a map between orientable manifolds is a fundamental concept in topology, providing important information about the structure of manifolds and the behavior of maps bet…

math.CO2026

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.GT2025

Embeddings of edge-colored dual graphs of balanced 3- and 4-manifolds

Biplab Basak, Sourav Sarkar

This article focuses on a class of properly edge-colored graphs, which arise from topological combinatorics, and investigates their embeddings onto surfaces. Specifically, these gr…

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…

Minimal simplicial degree d self-maps of Sn−1×S1

On the matching complexes of categorical product of path graphs

Embeddings of edge-colored dual graphs of balanced 3- and 4-manifolds

On the Vietoris-Rips Complexes of Integer Lattices

Normal 4-pseudomanifolds with a relative 2-skeleton

Minimal simplicial degree $d$ self-maps of $S^{n - 1} \times S^{1}$

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