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Latest on Linear Sketches for Large Graphs: Lots of Problems, Little Space, and Loads of Handwaving Andrew McGregor University of Massachusetts Latest on Linear Sketches for Large Graphs: Lots of Problems, Little Space, and Loads of Handwaving

Latest on Linear Sketches for Large Graphs: Lots of Problems, Little Space, and Loads of Handwaving Andrew McGregor University of Massachusetts
Latest on Linear Sketches for Large Graphs: Lots of Problems, Little Space, and Loads of Handwaving Andrew McGregor University of Massachusetts Vertex Connectivity and Sparsification Guha, McGregor, Tench [PODS 15] Densest Subgraphs McGregor, Tench, Vorotnikova, Vu [MFCS 15] Matching, Vertex Cover, Hitting Set Chitnis, Cormode, Esfandiari, Hajiaghayi, McGregor, Monemizadeh, Vorotnikova [SODA 16]
Background • Motivation Dynamic Graph Streams. Want to analyze a massive graph defined by a long sequence of edge insertions and deletions. Don’t want to have to store the entire graph.
Background • Motivation Dynamic Graph Streams. Want to analyze a massive graph defined by a long sequence of edge insertions and deletions. Don’t want to have to store the entire graph. • Main Technique Linear Sketches. Maintain random linear projections of vectors and matrices representing the graph.

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