80
个编辑
更改
跳到导航
跳到搜索
第28行：
第28行： − + − + 第47行：
第47行： − − − 根据 Barabasi-Albert 模型 <math>m_0=m=2</math> 分析了网络生长的步骤]]+ − − − − 第62行：
第56行： − 这个网络从一个初始的由<math>m_0</math>个节点构成的连接网络开始。+ − −
→Emergence 出现
图3：随机网络（a），无标度网络（b）。在无标度网络中，大型枢纽被突出显示。]]
图3：随机网络（a），无标度网络（b）。在无标度网络中，大型枢纽被突出显示。]]
Emergence of hubs can be explained by the difference between scale-free networks and random networks. Scale-free networks ([[Barabási–Albert model]]) are different from random networks ([[Erdős–Rényi model]]) in two aspects: (a) growth, (b) preferential attachment.<ref name=RMP>{{Cite journal
Emergence of hubs can be explained by the difference between scale-free networks and random networks. Scale-free networks ([[Barabási–Albert model]]) are different from random networks ([[Erdős–Rényi model]]) in two aspects: (a) growth, (b) preferential attachment.
Emergence of hubs can be explained by the difference between scale-free networks and random networks. Scale-free networks (Barabási–Albert model) are different from random networks (Erdős–Rényi model) in two aspects: (a) growth, (b) preferential attachment.<ref name=RMP>{{Cite journal
Emergence of hubs can be explained by the difference between scale-free networks and random networks. Scale-free networks (Barabási–Albert model) are different from random networks (Erdős–Rényi model) in two aspects: (a) growth, (b) preferential attachment.
枢纽的成因可以用无标度网络和随机网络的区别来解释。'''<font color="#ff8000">无标度网络 Scale-Free Networks</font>'''（Barabási-Albert模型）与'''<font color="#ff8000">随机网络 Random Networks</font>'''（Erdős–Rényi model）的区别主要存在于如下两个方面: （a）'''<font color="#ff8000">增长 Growth</font>'''，（b）'''<font color="#ff8000">优先链接 Preferential Attachment</font>'''。
枢纽的成因可以用无标度网络和随机网络的区别来解释。'''<font color="#ff8000">无标度网络 Scale-Free Networks</font>'''（Barabási-Albert模型）与'''<font color="#ff8000">随机网络 Random Networks</font>'''（Erdős–Rényi model）的区别主要存在于如下两个方面: （a）'''<font color="#ff8000">增长 Growth</font>'''，（b）'''<font color="#ff8000">优先链接 Preferential Attachment</font>'''。
Barabási-Albert模型的数学解释:
Barabási-Albert模型的数学解释:
[[File:Barabasi Albert model.gif|thumb|300px|
[[File:Barabasi Albert model.gif|thumb|300px|
图4：The steps of the growth of the network according to the Barabasi–Albert model (<math>m_0=m=2</math>)
图4：The steps of the growth of the network according to the Barabasi–Albert model (<math>m_0=m=2</math>)
图4：基于Barabasi-Albert模型的网络增长（<math>m_0=m=2</math>）]]
The network begins with an initial connected network of <math>m_0</math> nodes.
The network begins with an initial connected network of <math>m_0</math> nodes.
The network begins with an initial connected network of <math>m_0</math> nodes.
The network begins with an initial connected network of <math>m_0</math> nodes.
网络起始于由<math>m_0</math>个节点组成的初始联通网络。
New nodes are added to the network one at a time. Each new node is connected to <math>m \le m_0</math> existing nodes with a probability that is proportional to the number of links that the existing nodes already have. Formally, the probability <math>p_i</math> that the new node is connected to node <math>i</math> is<ref name="RMP"/>
New nodes are added to the network one at a time. Each new node is connected to <math>m \le m_0</math> existing nodes with a probability that is proportional to the number of links that the existing nodes already have. Formally, the probability <math>p_i</math> that the new node is connected to node <math>i</math> is<ref name="RMP"/>