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Dirichlet Character Difference Graphs

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Author(s): M. Budden | N. Calkins | W. N. Hack | J. Lambert | K. Thompson

Journal: Acta Mathematica Universitatis Comenianae
ISSN 0862-9544

Volume: LXXXII;
Issue: 1;
Start page: 21;
Date: 2013;
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Keywords: Cayley graphs | Paley graphs | circulant matrices

ABSTRACT
We define Dirichlet character difference graphs and describe their basic properties, including the enumeration of triangles. In the case where the modulus is an odd prime, we exploit the spectral properties of such graphs in order to provide meaningful upper bounds for their diameter.
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