Curvature dimension of trivalent graphs (Q1295450)
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scientific article; zbMATH DE number 1308119
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Curvature dimension of trivalent graphs |
scientific article; zbMATH DE number 1308119 |
Statements
Curvature dimension of trivalent graphs (English)
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1 November 2000
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The author shows that the curvature dimension, recently defined by \textit{K. Taniyama} [Differ. Geom. Appl. 8, 135-155 (1998; Zbl 0924.53004)], of connected trivalent graphs in Euclidean space equals 2 in the case of bridgeless graphs and 1 for graphs having 1 or 2 bridges. He also shows that there exists a connected trivalent graph in Euclidean space with arbitrary curvature dimension.
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total curvature
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trivalent graph
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flat map
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