Kavita Samant

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20232026

most citedGenerating Graphs of Finite Dihedral Groups

2 citations · 2 across the 5 of their papers we have counts for

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4 papers · 1 filter

math.CO2026

On the Generating Graph of Finite Abelian Groups

Kavita Samant, A. Satyanarayana Reddy

The generating graph $Γ (G)$ of a group $G$ is the graph whose vertex set is $G$ , where two distinct vertices are adjacent if and only if they generate $G$ . In this paper, we system…

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 $Γ (G) .$ 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 p…

math.CO2023★ 2 cited

Generating Graphs of Finite Dihedral Groups

A. Satyanarayana Reddy, Kavita Samant

For a group $G$ , the generating graph $Γ (G)$ is defined as the graph with the vertex set $G$ , and any two distinct vertices of $Γ (G)$ are adjacent if they generate $G$ . In this pap…

On the Generating Graph of Finite Abelian Groups

Spectral Bounds of the Generating Graph of Zn​.

The Generating graph of Dicyclic Groups

Generating Graphs of Finite Dihedral Groups

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