Proceedings of the American Mathematical Society

Author(s): A. Medrano; P. Myers; H. M. Stark; A. Terras
Journal: Proc. Amer. Math. Soc. 126 (1998), 701-710.
MSC (1991): Primary 11T23; Secondary 05C25
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Abstract: We consider graphs attached to $(\mathbb {Z}/q\mathbb {Z})^n$ , where $q=p^r$

, for an odd prime $p$

, using an analogue of the Euclidean distance. These graphs are shown to be mostly non-Ramanujan, in contrast to the case of Euclidean graphs over finite fields.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 11T23, 05C25

A. Medrano
Affiliation: Department of Mathematics, University of California at San Diego, La Jolla, California 92093-0112

P. Myers
Affiliation: Department of Mathematics, University of California, Santa Cruz, California 95064
Email: pmyers@cats.ucsc.edu

H. M. Stark
Affiliation: Department of Mathematics, University of California at San Diego, La Jolla, California 92093-0112

A. Terras
Affiliation: Department of Mathematics, University of California at San Diego, La Jolla, California 92093-0112
Email: aterras@ucsd.edu

DOI: 10.1090/S0002-9939-98-04294-4
PII: S 0002-9939(98)04294-4
Keywords: Euclidean graph, Ramanujan graph, Kloosterman sums over rings
Received by editor(s): September 11, 1996
Communicated by: Dennis A. Hejhal
Copyright of article: Copyright 1998, American Mathematical Society

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