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The automorphism group of projective norm graphs
Applicable Algebra in Engineering, Communication and Computing ( IF 0.7 ) Pub Date : 2023-01-10 , DOI: 10.1007/s00200-022-00590-3
Tomas Bayer , Tamás Mészáros , Lajos Rónyai , Tibor Szabó

The projective norm graphs are central objects to extremal combinatorics. They appear in a variety of contexts, most importantly they provide tight constructions for the Turán number of complete bipartite graphs \(K_{t,s}\) with \(s>(t-1)!\). In this note we deepen their understanding further by determining their automorphism group.



中文翻译:

射影范数图的自同构群

射影范数图是极值组合学的核心对象。它们出现在各种上下文中,最重要的是,它们为具有\(s>(t-1)!\)的完全二部图\(K_{t,s}\)的 Turán 数提供了紧密构造。在这篇笔记中,我们通过确定他们的自同构群来进一步加深他们的理解。

更新日期:2023-01-11
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