Opis: We present simple, geometric constructions for small regular graphs of girth 7 from the incidence graphs of some generalized quadrangles. We obtain infinite families of (q − 1)-regular, q-regular and (q + 1)-regular graphs of girth 7, for q a prime power. Some of them have the smallest order known so far.Ključne besede: cage problem, incidence graph, generalized quadrangleObjavljeno v RUP: 03.11.2025; Ogledov: 326; Prenosov: 1 Celotno besedilo (392,97 KB)
Ključne besede: incidence graph, resolving sets, finite projective spacesObjavljeno v RUP: 17.12.2020; Ogledov: 3505; Prenosov: 39 Povezava na celotno besedilo