Incremental assignment problem

  • Authors:
  • Ismail H. Toroslu;Göktürk íçoluk

  • Affiliations:
  • Department of Computer Engineering, Middle East Technical University, METU, 06531 Ankara, Turkey;Department of Computer Engineering, Middle East Technical University, METU, 06531 Ankara, Turkey

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2007

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Abstract

In this paper we introduce the incremental assignment problem. In this problem, a new pair of vertices and their incident edges are added to a weighted bipartite graph whose maximum-weighted matching is already known, and the maximum-weighted matching of the extended graph is sought. We propose an O(|V|^2) algorithm for the problem.