Regular Graphs Of Girth 5 From Elliptic Semiplanes Of Type C

A well-known technique to construct regular graphs with girth 5 is the amalgamation into the incidence graphs C-q and L-q, elliptic semiplanes of type C and L respectively, where q is a prime power. The case q odd has extensively been studied by means of amalgamations into L-q. In this paper we provide new families of small regular graphs of girth 5 constructed by amalgamation into C-q using finite fields of even order. (C) 2021 Elsevier B.V. All rights reserved.