Raju Kumar Gupta

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20242026

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5 papers · 1 filter

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.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…

math.CO2024

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

Biplab Basak, Raju Kumar Gupta, Sourav Sarkar

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

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

On the matching complexes of categorical product of path graphs

On the Vietoris-Rips Complexes of Integer Lattices

Average edge order of normal 3-pseudomanifolds

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

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

Average edge order of normal $3$ -pseudomanifolds

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