K. Patra

collaborators

4 papers

math.CO2026

Spectral gap of the normalized distance Laplacian

Hitesh Kumar, Kamal Lochan Patra

The smallest positive eigenvalue $\partial_{2}$ of the normalized distance Laplacian matrix $D^{L}$ of a connected graph is called its \emph{spectral gap} and is…

math.CO2026

On the distances between the core center and other central parts of a tree

Akash De, Kamal Lochan Patra

Let $T$ be a tree. For a vertex $v \in V (T)$ , the eccentric subtree number $I^µ_{T} (v)$ is defined as $I^µ_{T} (v) = min {f_{T} (v, u) : u \in V (T)}$ where $f_{T} (v, u)$ denotes the number of subtr…

math.GR2025

On the deep commuting graph of a finite group

Sumana Hatui, Sanjay Mukherjee, Kamal Lochan Patra

Let $G$ be a finite group and let $G ~$ be a Schur cover of $G$ . The deep commuting graph $I^_{D} (G)$ of $G$ is a simple graph with vertex set $G$ , where two distinct vertices…

math.CO2025

On the minimum cut-sets of the power graph of a finite cyclic group, II

Sanjay Mukherjee, Kamal Lochan Patra, Binod Kumar Sahoo

The power graph $P (G)$ of a finite group $G$ is the simple graph with vertex set $G$ and two distinct vertices are adjacent if one of them is a power of the other. Let $n…