A tight lower bound on the cover time for random walks on graphs

  • Authors:
  • Uriel Feige

  • Affiliations:
  • Department of Applied Math and Computer Science, The Weizmann Institute, Rehovot, Israel

  • Venue:
  • Random Structures & Algorithms
  • Year:
  • 1995

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Abstract

We prove that the expected time for a random walk to cover all n vertices of a graph is at least (1 + o(1))n In n. © 1995 Wiley Periodicals, Inc.