All reports by Author Jack Murtagh:

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TR20-026
| 25th February 2020
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Dean Doron, Jack Murtagh, Salil Vadhan, David Zuckerman#### Spectral Sparsification via Bounded-Independence Sampling

Revisions: 1

Dean Doron, Jack Murtagh, Salil Vadhan, David Zuckerman

We give a deterministic, nearly logarithmic-space algorithm for mild spectral sparsification of undirected graphs. Given a weighted, undirected graph $G$ on $n$ vertices described by a binary string of length $N$, an integer $k\leq \log n$ and an error parameter $\varepsilon > 0$, our algorithm runs in space $\tilde{O}(k\log (N\cdot ... more >>>