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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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6 papers

quant-ph2026

Quantum Algorithms for Minimum Generating Set

Bireswar Das, Udit Kumar, Kavita Samant +1

In this paper, we present a polynomial-time quantum algorithm for computing a minimum-sized generating set of solvable black-box groups. Next, we consider the class of black-…

math.CO2026

On the Generating Graph of Finite Abelian Groups

Kavita Samant, A. Satyanarayana Reddy

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

math.GR2025

An Arithmetic Characterization of 2-Generated Numbers

Bireswar Das, Kavita Samant, Dhara Thakkar

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

math.CO2025

Spectral Bounds of the Generating Graph of

Kavita Samant, A. Satyanarayana Reddy

Let be a group. A group is said to be -generated if it can be generated by its elements. A generating set of 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 the generating graph of denoted by We define the dicyclic group of order This p…

math.CO2023★ 2 cited

Generating Graphs of Finite Dihedral Groups

A. Satyanarayana Reddy, Kavita Samant

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