English

A New Comparative Definition of Community and Corresponding Identifying Algorithm

Physics and Society 2009-11-13 v1

Abstract

In this paper, a new comparative definition for community in networks is proposed and the corresponding detecting algorithm is given. A community is defined as a set of nodes, which satisfy that each node's degree inside the community should not be smaller than the node's degree toward any other community. In the algorithm, the attractive force of a community to a node is defined as the connections between them. Then employing attractive force based self-organizing process, without any extra parameter, the best communities can be detected. Several artificial and real-world networks, including Zachary Karate club network and College football network are analyzed. The algorithm works well in detecting communities and it also gives a nice description for network division and group formation.

Keywords

Cite

@article{arxiv.0802.0242,
  title  = {A New Comparative Definition of Community and Corresponding Identifying Algorithm},
  author = {Yanqing Hu and Hongbin Chen and Peng Zhang and Menghui Li and Zengru Di and Ying Fan},
  journal= {arXiv preprint arXiv:0802.0242},
  year   = {2009}
}

Comments

11 pages, 4 fihures

R2 v1 2026-06-21T10:08:55.239Z