| Autor: |
Shiping Liu, Münch, Florentin, Peyerimho, Norbert, Rose, Christian |
| Předmět: |
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| Zdroj: |
Analysis & Geometry in Metric Spaces; Mar2019, Vol. 7 Issue 1, p1-14, 14p |
| Abstrakt: |
We prove distance bounds for graphs possessing positive Bakry-Émery curvature apart from an exceptional set, where the curvature is allowed to be non-positive. If the set of non-positively curved vertices is finite, then the graph admits an explicit upper bound for the diameter. Otherwise, the graph is a subset of the tubular neighborhood with an explicit radius around the non-positively curved vertices. Those results seem to be the first assuming non-constant Bakry-Émery curvature assumptions on graphs. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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