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arXiv · 2312.05620

Geometric constructions of small regular graphs with girth 7

György Kiss
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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.

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György Kiss. 2023-12-09. Geometric constructions of small regular graphs with girth 7. https://arxiv.org/abs/2312.05620

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