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论文类型：期刊论文

发表时间：2007-03-01

发表刊物：JOURNAL OF SYSTEMS SCIENCE AND SYSTEMS ENGINEERING

收录刊物：SCIE、EI

卷号：16

期号：1

页面范围：107-112

ISSN号：1004-3756

关键字：scale-free networks; diameter; average connectivity

摘要：in this paper, under the constraint that the average distance and the average degree (k) remain approximately constant, we studied a random scale-free network model. We found that, if the network maintains the form of its degree distribution and the maximal degree k(c) is N-dependent cutoff function k(c)(N) < N, the degree distribution would be approximately power-law with an exponent between 2 and 3. The distribution exponent has little relationship with the average degree, denoted by < k >. The diameter constraint can be interpreted as an environmental selection pressure, which could explain the scale-free nature of networks. The numerical results indicate that, under the diameter constraint, the preferential attachment can produce the cutoff function k(c) (N) < N and power-law degree distribution.