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A 4-Approximation Algorithm for k-Prize Collecting Steiner Tree Problems

Computational Complexity 2018-02-20 v1 Discrete Mathematics Optimization and Control

Abstract

This paper studies a 4-approximation algorithm for k-prize collecting Steiner tree problems. This problem generalizes both k-minimum spanning tree problems and prize collecting Steiner tree problems. Our proposed algorithm employs two 2-approximation algorithms for k-minimum spanning tree problems and prize collecting Steiner tree problems. Also our algorithm framework can be applied to a special case of k-prize collecting traveling salesman problems.

Keywords

Cite

@article{arxiv.1802.06564,
  title  = {A 4-Approximation Algorithm for k-Prize Collecting Steiner Tree Problems},
  author = {Yusa Matsuda and Satoshi Takahashi},
  journal= {arXiv preprint arXiv:1802.06564},
  year   = {2018}
}

Comments

This article is under reviewing

R2 v1 2026-06-23T00:26:12.041Z