Geometrijske konstrukcije majhnih regularnihgrafov ožine 7

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.

Publication Details

Journal
Repository of the University of Primorsk (University of Primorska)
Published
2025-05-22
Primary Topic
Finite Group Theory Research
Type
article
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Geometrijske konstrukcije majhnih regularnihgrafov ožine 7

Repository of the University of Primorsk (University of Primorska)
Finite Group Theory Research
article

Geometrijske konstrukcije majhnih regularnihgrafov ožine 7

article en

Abstract

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.

Repository of the University of Primorsk (University of Primorska)
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Geometrijske konstrukcije majhnih regularnihgrafov ožine 7 · Repository of the University of Primorsk (University of Primorska) (2025) | TGRS Research Map | TGRS