Minimum spanning trees for community detection

Jianshe Wu, Xiaoxiao Li, Licheng Jiao, Xiaohua Wang and Bo Sun

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 9, 2265-2277

Abstract: A simple deterministic algorithm for community detection is provided by using two rounds of minimum spanning trees. By comparing the first round minimum spanning tree (1st-MST) with the second round spanning tree (2nd-MST) of the network, communities are detected and their overlapping nodes are also identified. To generate the two MSTs, a distance matrix is defined and computed from the adjacent matrix of the network. Compared with the resistance matrix or the communicability matrix used in community detection in the literature, the proposed distance matrix is very simple in computation. The proposed algorithm is tested on real world social networks, graphs which are failed by the modularity maximization, and the LFR benchmark graphs for community detection.

Keywords: Community structure; Minimum spanning tree; Distance matrix; Complex network (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:9:p:2265-2277

DOI: 10.1016/j.physa.2013.01.015

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