Simulating Random Walks on Graphs in the Streaming Model

  title={Simulating Random Walks on Graphs in the Streaming Model},
  author={Ce Jin},
  • Ce Jin
  • Published in ITCS 2019
  • Computer Science, Mathematics
  • We study the problem of approximately simulating a t-step random walk on a graph where the input edges come from a single-pass stream. The straightforward algorithm using reservoir sampling needs O(nt) words of memory. We show that this space complexity is near-optimal for directed graphs. For undirected graphs, we prove an Omega(n sqrt{t})-bit space lower bound, and give a near-optimal algorithm using O(n sqrt{t}) words of space with 2^{-Omega(sqrt{t})} simulation error (defined as the l_1… CONTINUE READING
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