Directed Strongly Regular Cayley Graphs on Dihedral groups

TL;DR

This paper constructs and characterizes directed strongly regular Cayley graphs on dihedral groups, extending previous work and providing new insights into their structure for groups of the form D_{p^α}.

Contribution

It introduces new constructions and characterizations of directed strongly regular Cayley graphs on dihedral groups, generalizing earlier results.

Findings

New constructions of directed strongly regular Cayley graphs on dihedral groups

Characterization of such graphs on groups D_{p^α}

Extension of previous graph construction methods

Abstract

In this paper,we construct some directed strongly regular Cayley graphs on dihedral groups,these generalizes some earlier constructions.We also characterize some certain directed strongly regular Cayley graphs on dihedral groups $D_{p^\alpha}$,where $p$ is a prime and $\alpha\geqslant 1$ is a positive integer.