Raju Kumar Gupta

activity

20222026

g_{2}

-minimal normal 3-pseudomanifolds with at most four singularities

2 citations · 2 across the 6 of their papers we have counts for

collaborators

8 papers

math.CO2026

A Complete Classification of Discrete $d$ -Pseudomanifolds with at Most $2 d + 7$ Vertices

Biplab Basak, Debolina Ghosh, Raju Kumar Gupta

A simple undirected graph $M$ is called a discrete $d$ -pseudomanifold if, for every vertex $v$ , the induced subgraph $N_{M} (v)$ on the neighbors of $v$ is a discrete $(d - 1)$ -pseudoma…

math.AT2026

On the equivariant triangulation of some small covers

Raju Kumar Gupta, Soumen Sarkar

In this paper, we study certain properties of $Z_{2}^{n}$ -equivariant triangulations of small covers. We show that any $Z_{2}^{n}$ -equivariant triangulation of a small co…

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.GT2024

Simplicial degree $d$ self-maps on $n$ -spheres

Biplab Basak, Raju Kumar Gupta, Ayushi Trivedi

The degree of a map between orientable manifolds is a fundamental concept in topology, providing deep insights into the structure of manifolds and the behavior of maps between them…

math.CO2024

Average edge order of normal $3$ -pseudomanifolds

Biplab Basak, Raju Kumar Gupta

In their work [10], Feng Luo and Richard Stong introduced the concept of the average edge order, denoted as $μ_{0} (K)$ . They demonstrated that if $μ_{0} (K) \leq \frac{9}{2}$ for a close…

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

A characterization of normal $3$ -pseudomanifolds with $g_{2} \leq 4$

Biplab Basak, Raju Kumar Gupta

We characterize normal $3$ -pseudomanifolds with $g_{2} \leq 4$ . We know that if a $3$ -pseudomanifold with $g_{2} \leq 4$ does not have any singular vertices then it is a $3$ -sphere. We fir…

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…

A Complete Classification of Discrete d-Pseudomanifolds with at Most 2d+7 Vertices

On the equivariant triangulation of some small covers

On the Vietoris-Rips Complexes of Integer Lattices

Simplicial degree d self-maps on n-spheres

Average edge order of normal 3-pseudomanifolds