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Block diagonal dominance-based dynamic programming for detecting community

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Abstract

Clustering or partition is a fundamental work for graph or network. Detecting communities is a typical clustering, which divides a network into several parts according to the modularity. Community detection is a critical challenge for designing scalable, adaptive and survivable trust management protocol for a community of interest-based social IoT system. Most of the existed methods on community detection suffer from a common issue that the number of communities should be prior decided. This urges us to estimate the number of communities from the data by some way. This paper concurrently considers eliminating the number of communities and detecting communities based on block diagonal dominace adjacency matrix. To construct a block diagonal dominance adjacency matrix for the input network, it first reorders the node number by the breadth-first search algorithm. For the block diagonal dominance adjacency matrix, this paper shows that the numbers of nodes in a community should be continuous adjacent. And thus, it only needs insert some breakpoints in node number sequence to decide the number of communities and the nodes in every community. In addition, a dynamic programming algorithm is designed to achieve an optimal community detection result. Experimental results on a number of real-world networks show the effectiveness of the dynamic programming approach on the community detection problem.

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Acknowledgements

This work was supported in part by the National Natural Science Foundation of China (NSFC) under Grants (No. 61907024), and the Starting Research Fund from Minnan Normal University (No. KJ18009), and the Open Fund of Key Laboratory of Urban Land Resources Monitoring and Simulation, Ministry of Land and Resources (No. KF201803065).

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Authors and Affiliations

  1. School of Mathematics and Statistics, Minnan Normal University, Zhangzhou, China

    Xingquan Li

  2. Center for Discrete Mathematics and Theoretical Computer Science, Fuzhou University, Fuzhou, China

    Cong Cao

  3. Laboratory of Urban Land Resources Monitoring and Simulation, Ministry of Land and Resources, Shenzhen, China

    Tao Zhang

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  1. Xingquan Li
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  2. Cong Cao
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  3. Tao Zhang
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Correspondence to Xingquan Li.

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Li, X., Cao, C. & Zhang, T. Block diagonal dominance-based dynamic programming for detecting community. J Supercomput 76, 8627–8640 (2020). https://doi.org/10.1007/s11227-020-03151-y

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