FINITE EUCLIDEAN GRAPHS OVER RINGS

Authors
MEDRANO A MYERS P STARK HM TERRAS A
Citation
A. Medrano et al., FINITE EUCLIDEAN GRAPHS OVER RINGS, Proceedings of the American Mathematical Society, 126(3), 1998, pp. 701-710
Citations number
16
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
126
Issue
3
Year of publication
1998
Pages
701 - 710
Database
ISI
SICI code
0002-9939(1998)126:3<701:FEGOR>2.0.ZU;2-3
Abstract
We consider graphs attached to (Z/qZ)(n), where q = p(r), for an odd p rime 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.