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S-T Connectivity on Digraphs with a Known Stationary Distribution
San Diego, California June 13-March 16
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/CCC.2007.30Twenty-Second Annual IEEE Conference ...
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Kai-Min Chung, Harvard University, USA
Omer Reingold, Weizmann Institute of Science, Israel
Salil Vadhan, Harvard University, USA
We present a deterministic logspace algorithm for solving S-T CONNECTIVITY on directed graphs if (i) we are given a stationary distribution for random walk on the graph and (ii) the random walk which starts at the source vertex s has polynomial mixing time. This result generalizes the recent deterministic logspace algorithm for S-T CONNECTIVITY on undirected graphs [15]. It identifies knowledge of the stationary distribution as the gap between the S-T CONNECTIVITY problems we know how to solve in logspace (L) and those that capture all of randomized logspace (RL).
Citation:
Kai-Min Chung, Omer Reingold, Salil Vadhan, "S-T Connectivity on Digraphs with a Known Stationary Distribution," ccc, pp.236-249, Twenty-Second Annual IEEE Conference on Computational Complexity (CCC'07), 2007
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