A study on Type-2 isomorphic circulant graphs. Part 4: 960 triples of Type-2 isomorphic circulant graphs $C_{54}(R)$

TL;DR

This paper identifies 960 triples of Type-2 isomorphic circulant graphs of order 54, extending previous work on such graphs and focusing on their isomorphism properties with respect to m=3.

Contribution

It provides a comprehensive enumeration of 960 triples of Type-2 isomorphic circulant graphs of order 54, advancing understanding of their structural properties.

Findings

Identified 960 triples of Type-2 isomorphic circulant graphs of order 54.

Each triple is isomorphic with respect to m=3.

Extends previous classifications of Type-2 isomorphic circulant graphs.

Abstract

This study is the $4^{th}$ part of a detailed study on Type-2 isomorphic circulant graphs having ten parts \cite{v2-1}-\cite{v2-10} and is a continuation of Part 3. Here, we study Type-2 isomorphic circulant graphs of order 54 and show that there are 960 triples of Type-2 isomorphic circulant graphs of order 54 and each triple of isomorphic circulant graphs is of Type-2 isomorphic w.r.t. $m$ = 3.