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EXPANSION CONSTANTS AND HYPERBOLIC EMBEDDINGS OF FINITE GRAPHS

Published online by Cambridge University Press:  19 November 2014

Tae Hattori
Affiliation:
Ishikawa National College of Technology, Tsubata Kahoku-gun, Ishikawa, 920-0329, Japan email [email protected]
Atsushi Kasue
Affiliation:
Department of Mathematics, Kanazawa University, Kanazawa, Ishikawa, 920-1192, Japan email [email protected]
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Abstract

In this paper, we study a finite connected graph which admits a quasi-monomorphism to hyperbolic spaces and give a geometric bound for the Cheeger constants in terms of the volume, an upper bound of the degree, and the quasi-monomorphism.

Type
Research Article
Copyright
Copyright © University College London 2014 

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