open access

https://hdl.handle.net/2115/66184

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

英語

graph mining

2017-05

The Institute of Electronics, Information and Communication Engineers / IEICE

IEICE transactions on information and systems

E100D(5)

994-1002

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.

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Copyright ©2017 The Institute of Electronics, Information and Communication Engineers

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