Graph approximation and local clustering, with applications to the solution of diagonally-dominant systems of linear equations
Microsoft
Graph approximation and local clustering, with applications to the solution of diagonally-dominant systems of linear equations
We discuss several fascinating concepts and algorithms in graph theory that arose in the design of a nearly-linear time algorithm for solving diagonally-dominant linear systems. We begin by defining a new notion of what it means to approximate a graph by another graph, and explain why these sparse approximations enable the fast solution of ...
Oct 31, 2009
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