摘要
This paper discusses a popular community definition in complex network research in terms of the conditions under which a community is minimal, that is, the community cannot be split into several smaller communities or split and reorganized with other network elements into new communities. The result provides a base on which further optimization computation of the quantitative measure for community identification can be realized.
基金
The research is supported by the Ministry of Science and Technology of China under Grant No.2006CB503905
Some authors are also supported by the National Natural Science Foundation of China under Grant Nos.10631070 and 10701080
the JSPS(Japan Society for the Promotion of Science)-NSFC(National Natural Science Foundation of China) collaboration project under Grant No.10711140116
