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Cheeger Inequality for Infinite Graphs

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Abstract

In this paper we prove the Cheeger inequality for infinite weighted graphs endowed with 'corresponding' measure. This measure has already been developed in the study of tree lattices. Our graphs have finite volumes. A similar theory has already been developed for manifolds of finite volumes.

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Authors and Affiliations

  1. Department of Mathematics, Long Island University, Brooklyn Campus, 1 University Plaza, Brooklyn, NY, 11201, U.S.A.

    Shahriar Mokhtari-Sharghi

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  1. Shahriar Mokhtari-Sharghi
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Mokhtari-Sharghi, S. Cheeger Inequality for Infinite Graphs. Geometriae Dedicata 100, 53–64 (2003). https://doi.org/10.1023/A:1025805832085

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  • DOI: https://doi.org/10.1023/A:1025805832085

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