Recent Developments on the Edge Between Number Theory and Graph Theory

Jürgen Sander () and Torsten Sander ()
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Jürgen Sander: Universität Hildesheim, Institut für Mathematik und Angewandte Informatik
Torsten Sander: Ostfalia Hochschule für angewandte Wissenschaften, Fakultät für Informatik

A chapter in From Arithmetic to Zeta-Functions, 2016, pp 405-425 from Springer

Abstract: Abstract This article reflects some of the authors’ perspectives on and personal experiences with the interplay between number theory and graph theory. To start with, we touch on a few historical milestones of the rewarding relations between the two disciplines. Later on, we shall address more recent developments without any ambition to strive for completeness.

Keywords: Cayley graph; Circulant graph; Graph energy; Graph spectrum; Integral graph; Multiplicative function; Primes in graphs; Ramanujan graph; Primary 05C50; 11A25; 11L03; Secondary 15A18 (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-28203-9_24

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DOI: 10.1007/978-3-319-28203-9_24

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