Comments on "Extremal Cayley digraphs of finite Abelian groups" [Intercon. Networks 12 (2011), no. 1-2, 125--135]

TL;DR

This paper critiques and corrects previous findings on extremal Cayley digraphs of finite Abelian groups, providing counterexamples and a revised result specifically for degree two cases.

Contribution

It offers critical corrections to prior work, including counterexamples and a new accurate result for degree two Cayley digraphs of finite Abelian groups.

Findings

Counterexamples to earlier results

Corrected theorem for degree two cases

Enhanced understanding of extremal Cayley digraphs

Abstract

We comment on the paper "Extremal Cayley digraphs of finite Abelian groups" [Intercon. Networks 12 (2011), no. 1-2, 125--135]. In particular, we give some counterexamples to the results presented there, and provide a correct result for degree two.