Using Schur Rings to Produce GRRs for Dihedral Groups

2024/01/04 by Josef Lauri, Lauri, Josef, Jonathan Ebejer +1
Mathematics · Engineering · #Finite Group Theory Research #Graph theory and applications #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2401.02305

Abstract

In this paper we shall be looking at several results relating Schur rings to sufficient conditions for a graph to be a graphical regular representation (GRR) of a finite group, and then applying these specifically in the case of certain subfamilies of dihedral groups. Numerical methods are given for constructing trivalent GRRs for these dihedral groups very quickly.

Related

• Further Applications of Schur Rings to Produce GRRs for Dihedral Groups
• A classification of the m-graphical regular representation of finite groups
• Cubic Graphical Regular Representations of PSU₃(q)
• A conjecture on bipartite graphical regular representations
• Graphical regular representations of (2,p)-generated groups