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arXiv · 1808.05662

Constant Arboricity Spectral Sparsifiers

Timothy Chu·Michael B. Cohen·Jakub W. Pachocki·Richard Peng
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Abstract

We show that every graph is spectrally similar to the union of a constant number of forests. Moreover, we show that Spielman-Srivastava sparsifiers are the union of O(logn) forests. This result can be used to estimate boundaries of small subsets of vertices in nearly optimal query time.

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Timothy Chu, Michael B. Cohen, Jakub W. Pachocki, Richard Peng. 2018-08-16. Constant Arboricity Spectral Sparsifiers. https://arxiv.org/abs/1808.05662

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