Integral point sets over Znm

Authors:
Axel Kohnert;Sascha Kurz
Affiliations:
University of Bayreuth, Department of Mathematics, D-95440 Bayreuth, Germany;University of Bayreuth, Department of Mathematics, D-95440 Bayreuth, Germany
Venue:
Discrete Applied Mathematics
Year:
2009

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Abstract

There are many papers studying the properties of point sets in the Euclidean space E^m or on integer grids Z^m, with pairwise integral or rational distances. In this article we consider the distances or coordinates of the point sets which instead of being integers are elements of Z/Zn, and study the properties of the resulting combinatorial structures.