An Improved Algorithm for the Nearly Equitable Edge-coloring Problem

نویسندگان

  • Xuzhen XIE
  • Takao ONO
  • Shin-ichi NAKANO
چکیده

A nearly equitable edge-coloring of a multigraph is a coloring such that edges incident to each vertex are colored equitably in number. This problem was solved in O(kn2) time, where n and k are the numbers of the edges and the colors, respectively. The running time was improved to be O(n2/k + n|V |) later. We present a more efficient algorithm for this problem that runs in O(n2/k) time. key words: nearly equitable edge coloring, Euler circuit

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تاریخ انتشار 2003