Eigenvalues, Expanders and Superconcentrators

  title={Eigenvalues, Expanders and Superconcentrators},
  author={Noga Alon and V. D. Milman and Murray Hill},
Explicit construction of families of linear expanders and superconcentrators is relevant to theoretical computer science in several ways. There is essentially only one known explicit construction. Here we show a correspondence between the eigenvalues of the adjacency matrix of a graph and its expansion properties, and combine it with results on Group Representations to obtain many new examples of families of linear expanders. We also obtain better expanders than those previously known and use… CONTINUE READING

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