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Results on diameter-stable graphs related to girth

✍ Scribed by Cheng-de Xu; Rui Gu

Book ID
107482781
Publisher
Chinese Electronic Periodical Services
Year
2010
Tongue
English
Weight
107 KB
Volume
14
Category
Article
ISSN
1007-6417

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## Abstract We prove new isoperimetric inequalities on graphs involving quantities linked with concepts from differential geometry. First, we bound from above the product of the volume entropy (defined as the log of the exponential growth rate of the universal cover) and the girth of weighted graph