Bounds for graphs of given girth and generalized polygons

In this paper we present a bound for bipartite graphs with average bidegrees \(\eta \) and \(\xi \) satisfying the inequality \(\eta \geq {\xi }^{\alpha }\), \( \alpha \geq 1\). This bound turns out to be the sharpest existing bound. Sizes of known families of finite generalized polygons are exactly...

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Bibliographic Details
Date:2018
Main Authors: Benkherouf, Lakdere, Ustimenko, Vasyl
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics