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A randomized time-space tradeoff of O˜(mRˆ) for USTCON

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1 Author(s)
Feige, U. ; Dept. of Appl. Math., Weizmann Inst. of Sci., Rehovot, Israel

We present a randomized time space tradeoff of O˜(mRˆ) for undirected S-T-connectivity, where Rˆ ΣυεV 1/dυ is the virtual resistance of the graph. This solves an open question of Broder et al. (1989) (implicit also in Aleliunas et al. (1979)) who asked whether a tradeoff of O˜(mn) is achievable, and also improves upon a tradeoff of O˜(mn/dmin) conjectured by Barnes and Feige (1993). Our algorithm is a modification of the Broder et al. algorithm. In passing, we also improve a result from Barnes and Feige regarding the rate at which a random walk discovers new vertices in a graph

Published in:

Foundations of Computer Science, 1993. Proceedings., 34th Annual Symposium on

Date of Conference:

3-5 Nov 1993