Quantum Algorithms for Matching and Network Flows
نویسندگان
چکیده
We present quantum algorithms for the following graph problems: finding a maximal bipartite matching in time O(n √ m + n log n), finding a maximal non-bipartite matching in time O(n( √ m/n+ log n) log n), and finding a maximal flow in an integer network in time O(min(n √ m · U, √ nUm) log n), where n is the number of vertices, m is the number of edges, and U ≤ n is an upper bound on the capacity of an edge.
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