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VALUATIONS OF NEAR POLYGONS

Published online by Cambridge University Press:  27 July 2005

BART DE BRUYN
Affiliation:
Department of Pure Mathematics and Computer Algebra, Ghent University, Galglaan 2, B-9000 Gent, Belgium e-mail: bdb@cage.ugent.be, pvdecast@cage.ugent.be
PIETER VANDECASTEELE
Affiliation:
Department of Pure Mathematics and Computer Algebra, Ghent University, Galglaan 2, B-9000 Gent, Belgium e-mail: bdb@cage.ugent.be, pvdecast@cage.ugent.be
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Abstract

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We introduce the notion of valuation of a dense near polygon. The valuations of a dense near polygon $F$ describe the possible relations between a point of a dense near polygon $\cS$ and any geodetically closed sub near polygon of $\cS$ isomorphic to $F$. Several nice properties of valuations are given and several classes of these objects are defined. Valuations are an important tool for classifying dense near polygons.

Keywords

Type
Research Article
Copyright
2005 Glasgow Mathematical Journal Trust