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What have we learnt about graph expansion in the new millenium ?

What have we learnt about graph expansion in the new millenium ?. Sanjeev Arora Princeton University & Center for Computational Intractability. Overview. Last millenium : Central role of expansion and expanders Recognizing expander graphs via eigenvalues (Cheeger71,Alon-Milman85)

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402 views • 25 slides

Spanning and Sparsifying

Spanning and Sparsifying. Rajmohan Rajaraman Northeastern University, Boston May 2012. Sparse Approximations of Graphs. How well can an undirected graph G = (V,E) be approximated by a sparse graph H? Distance-based approximation: Distance in H should be at least distance in G

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220 views • 11 slides

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What have we learnt about graph expansion in the new millenium ?

Spanning and Sparsifying