Further applications of schur rings to produce GRRs for dihedral groups

Abstract

This note is a continuation of postgraduate thesis research carried out by the first author under the supervision of the second author at the University of Malta. In that research we took a look at several results relating Schur rings to sufficient conditions for GRRs and then applied those results to produce numerical methods for constructing trivalent GRRs for dihedral groups very quickly. Here we seek to slightly alter the approach used in the original research to produce another numerical method for producing other GRRs for dihedral groups. Moreover, this will hopefully serve as companion literature for the original research when published.