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On a family of quasi-strongly regular Cayley graphs

Sucharita Biswas, Angsuman Das

Abstract

In this paper, we construct a family of quasi-strongly regular Cayley graphs $Γ_H(G)$ which is defined on a finite group $G$ with respect to a subgroup $H$ of $G$. We also compute its full automorphism group and characterize various transitivity properties of it.

On a family of quasi-strongly regular Cayley graphs

Abstract

In this paper, we construct a family of quasi-strongly regular Cayley graphs which is defined on a finite group with respect to a subgroup of . We also compute its full automorphism group and characterize various transitivity properties of it.
Paper Structure (5 sections, 10 equations, 1 figure)

This paper contains 5 sections, 10 equations, 1 figure.

Table of Contents

  1. Introduction
  2. $\Gamma_H(G)$ is QSRG
  3. Automorphism Group of $\Gamma_H(G)$
  4. Transitivity of $\Gamma_H(G)$
  5. Conclusion and Open Issues

Figures (1)

  • Figure 1: The neighbourhood of $(e,e)$ in $\Gamma_H(G)$

Theorems & Definitions (19)

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  • ...and 9 more