Bounds for graphs of given girth and generalized polygons

• Veröffentlicht in: Algebra and Discrete Mathematics
• Datum: 2002
• Hauptverfasser: Benkherouf, L., Ustimenko, V.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут прикладної математики і механіки НАН України 2002
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/154677
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Bounds for graphs of given girth and generalized polygons / L. Benkherouf, V. Ustimenko // Algebra and Discrete Mathematics. — 2002. — Vol. 1, № 1. — С. 1–18. — Бібліогр.: 26 назв. — англ.

In this paper we present a bound for bipartite graphs with average bidegrees η and ξ satisfying the inequality η ≥ ξ α, α ≥ 1. This bound turns out to be the sharpest existing bound. Sizes of known families of finite generalized polygons are exactly on that bound. Finally, we present lower bound...