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Expanders are not hyperbolic

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Publication:1282264
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DOI10.1007/BF02783040zbMath0915.05072MaRDI QIDQ1282264

Itai Benjamini

Publication date: 28 March 1999

Published in: Israel Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

Cayley graphsCheeger constantboundhyperbolic graphsexpandershyperbolicity constantuniformly hyperbolic


Mathematics Subject Classification ID

Extremal problems in graph theory (05C35)


Related Items (10)

Data center interconnection networks are not hyperbolic ⋮ Degrees in link graphs of regular graphs ⋮ Non-hyperbolicity in random regular graphs and their traffic characteristics ⋮ Why did the shape of your network change? (On detecting network anomalies via non-local curvatures) ⋮ On the hyperbolicity of random graphs ⋮ On computing discretized Ricci curvatures of graphs: local algorithms and (localized) fine-grained reductions ⋮ Effect of Gromov-hyperbolicity parameter on cuts and expansions in graphs and some algorithmic implications ⋮ A review of two network curvature measures ⋮ EXPANSION CONSTANTS AND HYPERBOLIC EMBEDDINGS OF FINITE GRAPHS ⋮ Sparse graph limits along balls



Cites Work

  • Discrete groups, expanding graphs and invariant measures. Appendix by Jonathan D. Rogawski
  • Unnamed Item




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