Titlebook: Near Polygons; Bart Bruyn Book 2006Latest edition The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nat

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Book 2006Latest edition-contained and almost all theorems are accompanied with proofs. Several new results are presented. Many known results occur in a more general form and the proofs are often more streamlined than their original versions. The volume is aimed at advanced graduate students and researchers in the fields of combinatorics and finite geometry..

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Introduction,ngleton {.}, then we will also write d(., .) instead of d({.}, .). For every .∈ ? and every nonempty set . of vertices, we denote by Γ.(.) the set of all vertices . for which d(.)=.. If . is a singleton {.}, then we also write Γ.(.) instead of Γ.({.}).

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Book 2006Latest editionaph gives an extensive overview of the basic theory of general near polygons...The first part of the book includes a discussion of the classes of dense near polygons, regular near polygons, and glued near polygons. Also valuations, one of the most important tools for classifying dense near polygons,

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Introduction, vertices. A clique is called . if it is not properly contained in another clique. We will denote the distance between two vertices . and . of Γ by d(.). If . and . are two nonempty sets of vertices, then we denote by d(., .) the minimal distance between a vertex of . and a vertex of .. If . is a si

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Glued near polygons,olygon(s) of diameter diam (.)+diam (.) — δ can be derived from . and .. We call these new near polygons glued near polygons of type δ. The contents of this chapter are based on the papers [29], [30], [33], [35], [38] [41], [46], [58] and [59].

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