On Algorithm for the Minimum Spanning Trees Problem with Diameter Bounded Below

نویسندگان

  • Edward Gimadi
  • Alexey M. Istomin
  • Ekaterina Shin
چکیده

The minimum spanning trees problem is to find k edge-disjoint spanning trees in a given undirected weighted graph. It can be solved in polynomial time. In the k minimum spanning trees problem with diameter bounded below (k-MSTBB) there is an additional requirement: a diameter of every spanning tree must be not less than some predefined value d. The k-MSTBB is NP hard. We propose an asymptotically optimal polynomial time algorithm to solve this problem.

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تاریخ انتشار 2016