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Paper detail

Non-expander Cayley graphs of simple groups

For every infinite sequence of simple groups of Lie type of growing rank we exhibit connected Cayley graphs of degree at most 10 such that the isoperimetric number of these graphs converges to 0. This proves that these graphs do not form a family of expanders.

preprint2013arXivOpen access
Gabor Somlai
math.CO
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Gabor Somlai

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