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2020年5月11日 (一) 16:42的版本

删除123字节、 2020年5月11日 (一) 16:42

→‎Barabási–Albert (BA) 优先链接模型

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|archivedate = 2012-04-17

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~~The degree distribution resulting from the BA model is scale free, in particular, it is a power law of the form:~~

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BA模型得到的度分布是无标度的，特别是它的形式是幂律：

: <math>P(k)\sim k^{-3} \, </math>

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Hubs exhibit high betweenness centrality which allows short paths to exist between nodes. As a result, the BA model tends to have very short average path lengths. The clustering coefficient of this model also tends to 0.

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中心节点表现出很高的介数中心性，这使得节点之间存在捷径。因此，BA模型的平均路径长度往往很短。该模型的聚类系数也趋于0。

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~~While the diameter, D, of many models including the Erdős Rényi random graph model and several small world networks is proportional to log N, the BA model exhibits D~~~~~loglogN (ultrasmall world).~~<ref>{{cite journal|last=Cohen|first=R. |title=Scale-free networks are ultrasmall|journal=Phys. Rev. Lett.|year=2003|volume=90|pages=058701|url=http://havlin.biu.ac.il/Publications.php?keyword=Scale-free+networks+are+ultrasmall&year=*&match=all|doi=10.1103/PhysRevLett.90.058701|pmid=12633404|first2=S.|last2=Havlin|issue=5|bibcode=2003PhRvL..90e8701C |arxiv=cond-mat/0205476}}</ref>

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包括Erdős Rényi随机图模型和一些小世界模型在内的很多网络模半径D正比于log N，但是BA模型表现出D~loglogN（超小世界）。<ref>{{cite journal|last=Cohen|first=R. |title=Scale-free networks are ultrasmall|journal=Phys. Rev. Lett.|year=2003|volume=90|pages=058701|url=http://havlin.biu.ac.il/Publications.php?keyword=Scale-free+networks+are+ultrasmall&year=*&match=all|doi=10.1103/PhysRevLett.90.058701|pmid=12633404|first2=S.|last2=Havlin|issue=5|bibcode=2003PhRvL..90e8701C |arxiv=cond-mat/0205476}}</ref>

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~~Note that the average path length scales with N as the diameter.~~

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注意，平均路径长度随N的变化和半径相同。

====Mediation-driven attachment (MDA) model====

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