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

Yusa Matsuda; Satoshi Takahashi

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arXiv · 1802.06564

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

Yusa Matsuda·Satoshi Takahashi

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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.

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Yusa Matsuda, Satoshi Takahashi. 2018-02-19. A 4-Approximation Algorithm for k-Prize Collecting Steiner Tree Problems. https://arxiv.org/abs/1802.06564

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