Complexity of the multi-service center problem

Takehiro Ito, Naonori Kakimura, Yusuke Kobayashi

研究成果: Conference contribution

2 被引用数 (Scopus)


The multi-service center problem is a variant of facility location problems. In the problem, we consider locating p facilities on a graph, each of which provides distinct service required by all vertices. Each vertex incurs the cost determined by the sum of the weighted distances to the p facilities. The aim of the problem is to minimize the maximum cost among all vertices. This problem is known to be NP-hard for general graphs, while it is solvable in polynomial time when p is a fixed constant. In this paper, we give sharp analyses for the complexity of the problem from the viewpoint of graph classes and weights on vertices. We first propose a polynomial-Time algorithm for trees when p is a part of input. In contrast, we prove that the problem becomes strongly NP-hard even for cycles. We also show that when vertices are allowed to have negative weights, the problem becomes NP-hard for paths of only three vertices and strongly NP-hard for stars.

ホスト出版物のタイトル28th International Symposium on Algorithms and Computation, ISAAC 2017
編集者Takeshi Tokuyama, Yoshio Okamoto
出版社Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing
出版ステータスPublished - 2017 12月 1
イベント28th International Symposium on Algorithms and Computation, ISAAC 2017 - Phuket, Thailand
継続期間: 2017 12月 92017 12月 22


名前Leibniz International Proceedings in Informatics, LIPIcs


Other28th International Symposium on Algorithms and Computation, ISAAC 2017

ASJC Scopus subject areas

  • ソフトウェア


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