3 years ago

Constant Arboricity Spectral Sparsifiers.

Jakub W. Pachocki, Richard Peng, Michael B. Cohen, Timothy Chu

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.

Publisher URL: http://arxiv.org/abs/1808.05662

DOI: arXiv:1808.05662v1

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