Raju Kumar Gupta

collaborators

6 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.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.GT2026

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.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.CO2025

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 $I^¼_{0} (K)$ . They demonstrated that if $I^¼_{0} (K) \leq \frac{9}{2}$ for a clo…