Subgraph Sparsification and Nearly Optimal Ultrasparsifiers

We consider a variation of the spectral sparsification problem where we are required to keep a subgraph of the original graph. Formally, given a union of two weighted graphs $G$ and $W$ and an integer $k$, we are asked to find a $k$-edge weighted graph $W_k$ such that $G+W_k$ is a good spectral spar...

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Hauptverfasser: Kolla, Alexandra, Makarychev, Yury, Saberi, Amin, Teng, Shanghua
Format: Artikel
Sprache:eng
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