Kavita Samant

activity

20242026

collaborators

3 papers

math.GR2026

An Arithmetic Characterization of 2-Generated Numbers

Bireswar Das, Kavita Samant, Dhara Thakkar

A group $G$ is said to be $k$ -generated if it has a generating set with $k$ elements. A positive integer $n$ is called a \emph{2-generated number} if every group of order $n$ is 2-…

math.CO2025

Spectral Bounds of the Generating Graph of $Z_{n} .$

Kavita Samant, A. Satyanarayana Reddy

Let $G$ be a group. A group is said to be $k$ -generated if it can be generated by its $k$ elements. A generating set of $G$ is called a minimal generating set if no proper subset o…

math.CO2024

The Generating graph of Dicyclic Groups

Kavita Samant, A. Satyanarayana Reddy

For a group $G,$ the generating graph of $G,$ denoted by $I^ (G) .$ We define $Q_{n} = ⟨ x, y : x^{2 n} = y^{4} = 1, x^{n} = y^{2}, y^{- 1} x y = x^{- 1} ⟩,$ the dicyclic group of order $4 n .$ This…

An Arithmetic Characterization of 2-Generated Numbers

Spectral Bounds of the Generating Graph of Zn​.

The Generating graph of Dicyclic Groups

Spectral Bounds of the Generating Graph of $Z_{n} .$