Directed Strongly Regular Cayley Graphs on Dihedral groups $D_n$

TL;DR

This paper characterizes specific directed strongly regular Cayley graphs on dihedral groups, expanding understanding of their structure and properties within algebraic graph theory.

Contribution

It provides a characterization of certain directed strongly regular Cayley graphs on dihedral groups, a topic not extensively explored before.

Findings

Identified conditions for directed strongly regular Cayley graphs on dihedral groups.

Extended the classification of algebraic graphs on dihedral groups.

Contributed to the theory of strongly regular graphs in algebraic combinatorics.

Abstract

In this paper, we characterize some certain directed strongly regular Cayley graphs on Dihedral groups $D_{n}$, where $n\geqslant 3$ is a positive integer.