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Polynomial Time Approximation Schemes for the Constrained Minimum Spanning Tree Problem

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  • Yen Hung Chen

Abstract

Let G = ( V , E ) be an undirected graph with a weight function and a cost function on edges. The constrained minimum spanning tree problem is to find a minimum cost spanning tree T in G such that the total weight in T is at most a given bound B . In this paper, we present two polynomial time approximation schemes (PTASs) for the constrained minimum spanning tree problem.

Suggested Citation

  • Yen Hung Chen, 2012. "Polynomial Time Approximation Schemes for the Constrained Minimum Spanning Tree Problem," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-8, March.
  • Handle: RePEc:hin:jnljam:394721
    DOI: 10.1155/2012/394721
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