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Geometric constructions of small regular graphs with girth 7
György Kiss, 2025, original scientific article

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.
Keywords: cage problem, incidence graph, generalized quadrangle
Published in RUP: 03.11.2025; Views: 327; Downloads: 1
Full text (392,97 KB)

Resolving sets for higher dimensional projective spaces
Daniele Bartoli, György Kiss, Stefano Marcugini, Fernanda Pambianco, 2020, original scientific article

Keywords: incidence graph, resolving sets, finite projective spaces
Published in RUP: 17.12.2020; Views: 3506; Downloads: 39
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