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The topological dimension of limits of vertex replacements

✍ Scribed by Michelle Previte; Shun-Hsiang Yang

Book ID: 108286322
Publisher: Elsevier Science
Year: 2006
Tongue: English
Weight: 209 KB
Volume: 153
Category: Article
ISSN: 0166-8641
DOI: 10.1016/j.topol.2005.07.008

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In this paper we study the flat maps from a finile graph G to a Euclidean space I? that were recentlq defined and studied in [4]. We define the vertex dimension of a finite graph and give some necessary conditions for a polygonal map to be flat. As a result we show that the vertex dimension of the c