Scaling behaviour of developing and decaying networks
Scaling behaviour of developing and decaying networks
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DOI：
10.1209/epl/i2000-00400-0
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发表时间：
2000-10-01
期刊：
影响因子：
--
通讯作者：
Mendes, JFF
中科院分区：
文献类型：
--
作者：
Dorogovtsev, SN;Mendes, JFF
我们发现，大量的发展和衰退网络具有类似于Barabasi和Albert最近在增长网络的特殊情况下观察到的缩放特性。这里考虑的网络根据以下规则发展：i)每增加一个新站点，它与旧站点连接的概率与它们的连接成正比。ii)此外，a)一些旧站点之间的新链接出现的概率与它们的连通性的乘积成正比，或者b)一些旧站点之间的链接被删除的概率相等。
We find that a wide class of del-eloping and decaying networks has scaling properties similar to those that were recently observed by Barabasi and Albert in the particular case of growing net works. The networks considered here evolve according to the following rules: i) Each instant a new site is added, the probability of its connection to old sites is proportional to their connectivities. ii) In addition, a) new links between some old sites appear with probability proportional to the product of their connectivities or b) some links between old sites are removed with equal probability.