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An n5/2 Algorithm for Maximum Matchings in Bipartite Graphs

1973/12/01 by John E. Hopcroft, Richard M. Karp · 63 citations
Computer Science · Biochemistry, Genetics and Molecular Biology · Engineering · #Advanced Graph Theory Research #DNA and Biological Computing #graph theory and CDMA systems

paper · doi:10.1137/0202019

Abstract

The present paper shows how to construct a maximum matching in a bipartite graph with n vertices and m edges in a number of computation steps proportional to (m + n)√ n .Keywordsalgorithmalgorithmic analysisbipartite graphscomputational complexitygraphsmatching

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