The uniquely solvable bipartite matching problem

  • Authors:
  • Katarína Cechlárová

  • Affiliations:
  • Department of Geometry and Algebra, P.J. afárik's University, Jesenná 5, 041 54 Koice, Czechoslovakia

  • Venue:
  • Operations Research Letters
  • Year:
  • 1991

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Abstract

The bipartite cardinality matching problem can be solved by a well-known algorithm with complexity O(| E | . | V |^1^2). We give a characterization of the bipartite graphs with a unique maximum matching and an O(| E |) algorithm for both recognizing these graphs and producing the unique matching, when it exists.