A Spanning Tree Method for Bounding Hitting Times of Random Walks on Graphs

  • Authors:
  • Randy Cogill;Cheng Peng

  • Affiliations:
  • rcogill@virginia.edu and cp5pz@virginia.edu;-

  • Venue:
  • SIAM Journal on Discrete Mathematics
  • Year:
  • 2010

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Abstract

In this paper we consider the problem of computing the expected hitting time to a vertex for random walks on graphs. We give a method for computing an upper bound on the expected hitting time from an arbitrary spanning tree of the graph. We illustrate this method with two examples. In one of these examples, we show that the bounds obtained from the spanning method are sharper than bounds obtained from other commonly used techniques.