Limitations on Explicit Constructions of Expanding Graphs

  title={Limitations on Explicit Constructions of Expanding Graphs},
  author={Maria M. Klawe},
  journal={SIAM J. Comput.},
Expanding graphs are the basic building blocks in constructions of many types of graphs with special connectivity properties which arise in a variety of applications including switching networks, sorting networks and establishing time-space trade-offs for numerous computational problems. Only one explicit method of constructing arbitrarily large expanding graphs with a linear number of edges is known (Margulis [13], Gabber and Galil [8]), but the number of edges used is much greater than the… CONTINUE READING

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