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Isoperimetric dimension
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==References== <references /> <hr /> * Isaac Chavel, ''Isoperimetric Inequalities: Differential geometric and analytic perspectives'', Cambridge university press, Cambridge, UK (2001), {{ISBN|0-521-80267-9}} :Discusses the topic in the context of manifolds, no mention of graphs. * N. Th. Varopoulos, ''Isoperimetric inequalities and Markov chains'', J. Funct. Anal. '''63:2''' (1985), 215–239. * Thierry Coulhon and Laurent Saloff-Coste, ''Isopérimétrie pour les groupes et les variétés'', Rev. Mat. Iberoamericana '''9:2''' (1993), 293–314. :This paper contains the result that on groups of polynomial growth, volume growth and isoperimetric inequalities are equivalent. In French. * Fan Chung, ''Discrete Isoperimetric Inequalities''. ''Surveys in Differential Geometry IX'', International Press, (2004), 53–82. http://math.ucsd.edu/~fan/wp/iso.pdf. :This paper contains a precise definition of the isoperimetric dimension of a graph, and establishes many of its properties. [[Category:Mathematical analysis]] [[Category:Dimension]]
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