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# On the edge-expansion of graphs

@inproceedings{ALO2002OnTE, title={On the edge-expansion of graphs}, author={N ALO}, year={2002} }

- Published 2002

Received It is shown that if n > n 0 (d) then any d-regular graph G = (V, E) on n vertices contains a set of u = n/2 vertices which is joined by at most (d 2 − c √ d)u edges to the rest of the graph, where c > 0 is some absolute constant. This is tight, up to the value of c.

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