Integral point sets over Z_n^m

There are many papers studying properties of point sets in the Euclidean space or on integer grids, 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_n, and study the properties of the resulting combinatorial structures.
In einigen Arbeiten werden die Eigenschaften von ganzzahligen Punktmengen in Euklidischen Räumen oder auf ganzzahligen Gittern betrachtet. In diesem Artikel untersuchen wir ganzzahlige Punktmengen in Z_n^m.

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Metadaten
Institutes:Mathematik
Informatik
Author: Axel Kohnert, Sascha Kurz
Year of Completion:2007
SWD-Keyword:Durchmesser; Kombinatorik
Tag:erschöpfende Suche; ganzzahlige Abstände; ordnungstreues Erzeugen
exhaustive search; finite rings; integral distances; orderly generation
Dewey Decimal Classification:510 Mathematik
MSC-Classification:52C10 Erd}os problems and related topics of discrete geometry [See also 11Hxx]
URN:urn:nbn:de:bvb:703-opus-4248
Document Type:Preprint
Language:English
Date of Publication (online):15.04.2008