Algebraic Algorithms for Matching and Matroid Problems

We present new algebraic approaches for two well-known combinatorial problems: nonbipartite matching and matroid intersection. Our work yields new randomized algorithms that exceed or match the efficiency of existing algorithms. For nonbipartite matching, we obtain a simple, purely algebraic algorit...

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Bibliographic Details
Main Author: Harvey, Nicholas J. A.
Other Authors: Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory
Format: Article
Language:en_US
Published: Society for Industrial and Applied Mathematics 2010
Online Access:http://hdl.handle.net/1721.1/52443