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Article . 2021 . Peer-reviewed
Full-Text: https://eprints.soton.ac.uk/469831/1/Infinite_Paley_graphs.pdf
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The Art of Discrete and Applied Mathematics
Article
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Preprint . 2019
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The Art of Discrete and Applied Mathematics
Article . 2020 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2019
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Article . 2021
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Infinite Paley graphs

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 06 Aug 2020Embargo end date: 01 Jan 2019 English Publisher:University of Primorska PressJournal:The Art of Discrete and Applied Mathematics (eissn: 2590-9770, Copyright policy )
Authors: Jones, Gareth A.;

doi: 10.26493/2590-9770.1365.884 , 10.48550/arxiv.1912.02709

arXiv: http://arxiv.org/abs/1912.02709

Infinite Paley graphs

Abstract

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, R��nyi and Rado. Automorphism groups and connections with model theory are considered.

10 pages/

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Keywords

FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Primary: 05C63. Secondary: 03C13, 03C15, 05C80, 05E18, 11L40, 12E20, 20B25, 20B27, 510, 004

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
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