Abstract
Let G be a graph which satisfies , for some constants c,a > 1, every vertex v and every radius r. We prove that this implies the isoperimetric inequality for some constant C = C(a,c) and every nonempty finite set of vertices A.
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© 2004 Springer-Verlag Berlin/Heidelberg
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Benjamini, I., Schramm, O. (2004). Pinched Exponential Volume Growth Implies an Infinite Dimensional Isoperimetric Inequality. In: Geometric Aspects of Functional Analysis. Lecture Notes in Mathematics, vol 1850. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-44489-3_8
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DOI: https://doi.org/10.1007/978-3-540-44489-3_8
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Online ISBN: 978-3-540-44489-3
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