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Graphs of integral distance and their properties

Philosophiae Doctor - PhD / Understanding the geometries of points in space has been attractive to mathematicians
for ages. As a model, twelve years ago, Kurz and Meyer [32] considered point
sets in the m-dimensional a ne space Fmq
over a nite eld Fq with q = pr elements,
p prime, where each squared Euclidean distance of two points is a square in Fq: The
latter points are said to be at integral distance in Fmq
, and the sets above are called
integral point sets.

Identiferoai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:uwc/oai:etd.uwc.ac.za:11394/8430
Date January 2021
CreatorsHabineza, Olivier
ContributorsMwambene, Eric
PublisherUniversity of Western Cape
Source SetsSouth African National ETD Portal
LanguageEnglish
Detected LanguageEnglish
RightsUniversity of Western Cape

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