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Finite Euclidean graphs over rings |
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| Authors: | A Medrano P Myers H M Stark A Terras |
| Institution: | Department of Mathematics, University of California at San Diego, La Jolla, California 92093-0112 P. Myers ; Department of Mathematics, University of California, Santa Cruz, California 95064 ; Department of Mathematics, University of California at San Diego, La Jolla, California 92093-0112 A. Terras ; Department of Mathematics, University of California at San Diego, La Jolla, California 92093-0112 |
| Abstract: | We consider graphs attached to  , where  , for an odd prime  , 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. |
| Keywords: | Euclidean graph Ramanujan graph Kloosterman sums over rings |
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