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Balanced partition of minimum spanning trees

Publiceringsår: 2003
Språk: Engelska
Sidor: 303-316
Publikation/Tidskrift/Serie: International Journal of Computational Geometry and Applications
Volym: 13
Nummer: 4
Dokumenttyp: Artikel i tidskrift
Förlag: World Scientific


To better handle situations where additional resources are available to carry out a task, many problems from the manufacturing industry involve dividing a task into a number of smaller tasks, while optimizing a specific objective function. In this paper we consider the problem of partitioning a given set S of n points in the plane into k subsets, S-1,...,S-k, such that max(1less than or equal toiless than or equal tok) MST(S-i) is minimized. Variants of this problem arise in applications from the shipbuilding industry. We show that this problem is NP-hard, and we also present an approximation algorithm for the problem, in the case when k is a fixed constant. The approximation algorithm runs in time O(n logn) and produces a partition that is within a factor (4/3 + epsilon) of the optimal if k = 2, and a factor (2 + epsilon) otherwise.


  • Computer Science
  • approximation algorithms
  • computational geometry


  • VR 2002-4049
  • ISSN: 0218-1959

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