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On the Structure of Vertex Transitive Graphs

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Coarse Geometry and Randomness

Part of the book series: Lecture Notes in Mathematics ((LNMECOLE,volume 2100))

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Abstract

This short section contains several facts and open problems regarding vertex transitive graphs, starting with the following theorem from [BS92] which refines an earlier result of Aldous.

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References

  1. N. Alon, I. Benjamini, A. Stacey, Percolation on finite graphs and isoperimetric inequalities. Ann. Probab. 32(3A), 1727–1745 (2004)

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  2. I. Benjamini, H. Finucane, R. Tessera, On the scaling limit of finite vertex transitive graphs with large diameter. arXiv preprint arXiv:1203.5624 Combinatorica (2014)

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  3. E. Breuillard, B. Green, T. Tao, The structure of approximate groups. Publ. Math. lÍHÉS 116(1), 115–221 (2012)

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  4. I. Benjamini, G. Kozma, A resistance bound via an isoperimetric inequality. Combinatorica 25(6), 645–650 (2005)

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  5. L. Babai, M. Szegedy, Local expansion of symmetrical graphs. Comb. Probab. Comput. 1(1), 1–11 (1992)

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Benjamini, I. (2013). On the Structure of Vertex Transitive Graphs. In: Coarse Geometry and Randomness. Lecture Notes in Mathematics(), vol 2100. Springer, Cham. https://doi.org/10.1007/978-3-319-02576-6_2

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