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An Efficient Approximate Algorithm for the 1-Median Problem on a Graph

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Please use this identifier to cite or link to this item:http://hdl.handle.net/2115/66184

Title: An Efficient Approximate Algorithm for the 1-Median Problem on a Graph
Authors: Tabata, Koji Browse this author
Nakamura, Atsuyoshi Browse this author →KAKEN DB
Kudo, Mineichi Browse this author →KAKEN DB
Keywords: 1-median problem
closeness centrality
graph mining
Issue Date: May-2017
Publisher: 電子情報通信学会
Journal Title: IEICE transactions on information and systems
Volume: E100D
Issue: 5
Start Page: 994
End Page: 1002
Publisher DOI: 10.1587/transinf.2016EDP7398
Abstract: We propose a heuristic approximation algorithm for the 1-median problem. The 1-median problem is the problem of finding a vertex with the highest closeness centrality. Starting from a randomly selected vertex, our algorithm repeats to find a vertex with higher closeness centrality by approximately calculating closeness centrality of each vertex using simpler spanning subgraphs, which are called k-neighbor dense shortest path graphs with shortcuts. According to our experimental results using real networks with more than 10,000 vertices, our algorithm is more than 100 times faster than the exhaustive search and more than 20 times faster than the state-of-the-art approximation algorithm using annotated information to the vertices while the solutions output by our algorithm have higher approximation ratio.
Rights: Copyright ©2017 The Institute of Electronics, Information and Communication Engineers
Relation: https://search.ieice.org/
Type: article
URI: http://hdl.handle.net/2115/66184
Appears in Collections:情報科学院・情報科学研究院 (Graduate School of Information Science and Technology / Faculty of Information Science and Technology) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 中村 篤祥

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