A Fast Algorithm for Computing a Nearly Equitable Edge Coloring with Balanced Conditions

  • Akiyoshi Shioura
  • Mutsunori Yagiura
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5609)


We discuss the nearly equitable edge coloring problem on a multigraph and propose an efficient algorithm for solving the problem, which has a better time complexity than the previous algorithms. The coloring computed by our algorithm satisfies additional balanced conditions on the number of edges used in each color class, where conditions are imposed on the balance among all edges in the multigraph as well as the balance among parallel edges between each vertex pair. None of the previous algorithms are guaranteed to satisfy these balanced conditions simultaneously.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Akiyoshi Shioura
    • 1
  • Mutsunori Yagiura
    • 2
  1. 1.Graduate School of Information SciencesTohoku UniversitySendaiJapan
  2. 2.Graduate School of Information ScienceNagoya UniversityNagoyaJapan

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