Computing Maximum Non-crossing Matching in Convex Bipartite Graphs

  • Danny Z. Chen
  • Xiaomin Liu
  • Haitao Wang
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7285)


We consider computing a maximum non-crossing matching in convex bipartite graphs. For a convex bipartite graph of n vertices and m edges, we present an O(nlogn) time algorithm for finding a maximum non-crossing matching in the graph. The previous best algorithm for this problem takes O(m + nlogn) time. Since m = Θ(n 2) in the worst case, our result improves the previous solution for large m.


Bipartite Graph Incident Edge Binary Search Tree Search Operation Left Child 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Danny Z. Chen
    • 1
  • Xiaomin Liu
    • 1
  • Haitao Wang
    • 1
  1. 1.Department of Computer Science and EngineeringUniversity of Notre DameNotre DameUSA

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