Abstract
We consider graphs attached to ( Z / q Z ) n (\mathbb {Z}/q\mathbb {Z})^n , where q = p r q=p^r , for an odd prime p 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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CITATION STYLE
APA
Medrano, A., Myers, P., Stark, H., & Terras, A. (1998). Finite Euclidean graphs over rings. Proceedings of the American Mathematical Society, 126(3), 701–710. https://doi.org/10.1090/s0002-9939-98-04294-4
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