A. S. Reddy

activity

20222026

collaborators

7 papers

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.GR2024

Cyclic Subgroup Graph of a Group

Peter J. Cameron, Khyati Sharma, A. Satyanarayana Reddy

A cyclic subgroup graph of a group is a graph whose vertices are cyclic subgroups of the group, and two distinct vertices are adjacent if one is a maximal subgroup of the other. In…

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

Spectral properties of edge Laplacian matrix

Shivani Chauhan, A. Satyanarayana Reddy

Let $N (X)$ be the Laplacian matrix of a directed graph obtained from the edge adjacency matrix of a graph $X .$ In this work, we study the bipartiteness property of the graph with t…

math.CO2023

Algebraic connectivity of Kronecker products of line graphs

Shivani Chauhan, A. Satyanarayana Reddy

Let $X$ be a tree with $n$ vertices and $L (X)$ be its line graph. In this work, we completely characterize the trees for which the algebraic connectivity of $L (X) \times K_{m}$ is equ…

math.CO2022

On the double covers of a line graph

Shivani Chauhan, A. Satyanarayana Reddy

Let $L (X)$ be the line graph of graph $X$ . Let $X^{''}$ be the Kronecker product of $X$ by $K_{2}$ . In this paper, we see that $L (X^{''})$ is a double cover of $L…

On the Generating Graph of Finite Abelian Groups

Spectral Bounds of the Generating Graph of Zn​.

Cyclic Subgroup Graph of a Group

The Generating graph of Dicyclic Groups

Spectral properties of edge Laplacian matrix

Algebraic connectivity of Kronecker products of line graphs

On the double covers of a line graph

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