Abstract

A well-known technique to construct regular graphs with girth 5 is the amalgamation into the incidence graphs Cq and Lq, 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 Lq. In this paper we provide new families of small regular graphs of girth 5 constructed by amalgamation into Cq using finite fields of even order.

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