无穷苍白图

Q3 Mathematics

Art of Discrete and Applied Mathematics Pub Date : 2019-12-05 DOI:10.26493/2590-9770.1365.884

G. Jones

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引用次数: 1

摘要

基于不可数的无限但局部有限的域，构造了Paley图的无限类似物。Weil对特征和的估计表明它们都同构于Erd\Hos、Renyi和Rado的随机图或泛图。考虑了自同构群及其与模型理论的联系。

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Infinite Paley graphs

Infinite analogues of the Paley graphs are constructed, based on uncountably many infinite but locally finite fields. Weil's estimate for character sums shows that they are all isomorphic to the random or universal graph of Erd\H os, Renyi and Rado. Automorphism groups and connections with model theory are considered.

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来源期刊

Art of Discrete and Applied Mathematics Mathematics-Discrete Mathematics and Combinatorics

CiteScore

0.90

自引率

0.00%

发文量