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A Degree-Constrained Minimum Spanning Tree Algorithm Using k-opt

  • Journal of The Korea Society of Computer and Information
  • Abbr : JKSCI
  • 2015, 20(5), pp.31-39
  • Publisher : The Korean Society Of Computer And Information
  • Research Area : Engineering > Computer Science

Sang-Un, Lee 1

1강릉원주대학교

Accredited

ABSTRACT

The degree-constrained minimum spanning tree (d-MST) problem is considered NP-complete for no exact solution-yielding polynomial algorithm has been proposed to. One thus has to resort to an heuristic approximate algorithm to obtain an optimal solution to this problem. This paper therefore presents a polynomial time algorithm which obtains an intial solution to the d-MST with the help of Kruskal's algorithm and performs k-opt on the initial solution obtained so as to derive the final optimal solution. When tested on 4 graphs, the algorithm has successfully obtained the optimal solutions.

Citation status

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