Technical Report TR - 2008 - 021 Rainbow Paths

نویسندگان

  • Domingos Dellamonica
  • Colton Magnant
  • Daniel M. Martin
چکیده

A k-rainbow path in a graph with colored edges is a path of length k where each edge has a different color. In this note, we settle the problem of obtaining a constructive k-coloring of the edges of Kn in which one may find, between any pair of vertices, a large number of internally disjoint krainbow paths. In fact, our construction obtains the largest possible number of paths. This problem was considered in a less general setting by Chartrand et al. (2007).

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تاریخ انتشار 2008