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Geometric constructions of small regular graphs with girth 7

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arxiv 2312.05620 v1 pith:PAZXDZJ4 submitted 2023-12-09 math.CO

György Kiss This is my paper · ORCID
classification math.CO
keywords graphsregulargirthconstructionsgeometricsmallsomefamilies
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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.

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