更改

值得注意的是，该度量将更多权重放在低度节点上，而传递性比率将更多权重放在高度节点上。 事实上，每个局部聚类分数由<math>k_{i}(k_{i}-1)</math>的加权平均数模型与全局聚类集聚系数模型是相同的。

值得注意的是，该度量将更多权重放在低度节点上，而传递性比率将更多权重放在高度节点上。 事实上，每个局部聚类分数由<math>k_{i}(k_{i}-1)</math>的加权平均数模型与全局聚类集聚系数模型是相同的。

如果图有一个小的平均最短路径长度与网络中节点数量的自然对数<math>\ ln{{N}}</math>一起延展<ref>http://networksciencebook.com/4#ultra-small</ref>，那么这个图被认为是小世界。 例如，随机图是小世界图，而格子图不是，无标度图通常被认为是超小世界图，因为它们的平均最短路径长度随<math>\ln{\ln{N}}</math>延展。Barrat 等人提出了广义的加权网络(2004) ，<ref>{{Cite journal | first1= A. |last1= Barrat |first2= M. |last2= Barthelemy |first3= R. |last3= Pastor-Satorras |first4= A. |last4= Vespignani  | title = The architecture of complex weighted networks | year = 2004 | journal = Proceedings of the National Academy of Sciences  | volume = 101 | pages = 3747&ndash;3752 | doi = 10.1073/pnas.0400087101 | issue = 11 | pmid = 15007165 | pmc = 374315 | bibcode=2004PNAS..101.3747B|arxiv = cond-mat/0311416 }}</ref>，Latapy 等人(2008)<ref>{{Cite journal | first1 = M. |last1= Latapy |first2= C. |last2= Magnien |first3= N. |last3= Del Vecchio | title = Basic Notions for the Analysis of Large Two-mode Networks | year = 2008 | journal = Social Networks | volume = 30 | pages = 31&ndash;48 | issue = 1 | doi = 10.1016/j.socnet.2007.04.006}}</ref>和 Opsahl (2009)重新定义了二部图(也称为双模网络)

如果图有一个小的平均最短路径长度与网络中节点数量的自然对数<math>\ ln{{N}}</math>一起延展<ref>http://networksciencebook.com/4#ultra-small</ref>，那么这个图被认为是小世界。 例如，随机图是小世界图，而格子图不是，无标度图通常被认为是超小世界图，因为它们的平均最短路径长度随<math>\ln{\ln{N}}</math>延展。Barrat 等人提出了广义的加权网络(2004) ，<ref>{{Cite journal | first1= A. |last1= Barrat |first2= M. |last2= Barthelemy |first3= R. |last3= Pastor-Satorras |first4= A. |last4= Vespignani  | title = The architecture of complex weighted networks | year = 2004 | journal = Proceedings of the National Academy of Sciences  | volume = 101 | pages = 3747&ndash;3752 | doi = 10.1073/pnas.0400087101 | issue = 11 | pmid = 15007165 | pmc = 374315 | bibcode=2004PNAS..101.3747B|arxiv = cond-mat/0311416 }}</ref>，Latapy 等人(2008)<ref>{{Cite journal | first1 = M. |last1= Latapy |first2= C. |last2= Magnien |first3= N. |last3= Del Vecchio | title = Basic Notions for the Analysis of Large Two-mode Networks | year = 2008 | journal = Social Networks | volume = 30 | pages = 31&ndash;48 | issue = 1 | doi = 10.1016/j.socnet.2007.04.006}}</ref>和 Opsahl (2009)重新定义了二部图(也称为双模网络)。Fagiolo (2007)<ref>{{Cite journal | first1= G. |last1= Fagiolo | title = Clustering in complex directed networks | year = 2007 | journal = Physical Review E  | volume = 76|issue= 2 Pt 2 |pages= 026107 |doi= 10.1103/PhysRevE.76.026107 |pmid= 17930104 |citeseerx= 10.1.1.262.1006 }}</ref> , Clemente 和Grassi (2018)<ref>{{Cite journal | first1 = G.P. |last1= Clemente |first2= R. |last2= Grassi | title = Directed clustering in weighted networks: A new perspective | year = 2018 | journal = Chaos, Solitons & Fractals | volume = 107 | pages = 26&ndash;38 | doi = 10.1016/j.chaos.2017.12.007|arxiv= 1706.07322 |bibcode= 2018CSF...107...26C }}</ref>

 

Fagiolo (2007)<ref>{{Cite journal | first1= G. |last1= Fagiolo | title = Clustering in complex directed networks | year = 2007 | journal = Physical Review E  | volume = 76|issue= 2 Pt 2 |pages= 026107 |doi= 10.1103/PhysRevE.76.026107 |pmid= 17930104 |citeseerx= 10.1.1.262.1006 }}</ref> , Clemente 和Grassi (2018)<ref>{{Cite journal | first1 = G.P. |last1= Clemente |first2= R. |last2= Grassi | title = Directed clustering in weighted networks: A new perspective | year = 2018 | journal = Chaos, Solitons & Fractals | volume = 107 | pages = 26&ndash;38 | doi = 10.1016/j.chaos.2017.12.007|arxiv= 1706.07322 |bibcode= 2018CSF...107...26C }}</ref>

提出了另一种加权有向图网络的推广概念。默认情况下，这个公式不适用于具有孤立顶点的图; 参见 Kaiser (2008)<ref>{{Cite journal | first= Marcus | last= Kaiser |title = Mean clustering coefficients: the role of isolated nodes and leafs on clustering measures for small-world networks | year = 2008 | journal = New Journal of Physics | volume = 10 | pages = 083042 | issue = 8 | doi = 10.1088/1367-2630/10/8/083042|bibcode = 2008NJPh...10h3042K |arxiv = 0802.2512 }}</ref>和 Barmpoutis 等<ref name=BarmpoutisMurray2010>{{Cite arXiv | first1= D. |last1= Barmpoutis |first2=R. M. |last2= Murray | title = Networks with the Smallest Average Distance and the Largest Average Clustering | eprint = 1007.4031 | year = 2010 | class = q-bio.MN}}</ref> .

提出了另一种加权有向图网络的推广概念。默认情况下，这个公式不适用于具有孤立顶点的图; 参见 Kaiser (2008)<ref>{{Cite journal | first= Marcus | last= Kaiser |title = Mean clustering coefficients: the role of isolated nodes and leafs on clustering measures for small-world networks | year = 2008 | journal = New Journal of Physics | volume = 10 | pages = 083042 | issue = 8 | doi = 10.1088/1367-2630/10/8/083042|bibcode = 2008NJPh...10h3042K |arxiv = 0802.2512 }}</ref>和 Barmpoutis 等<ref name=BarmpoutisMurray2010>{{Cite arXiv | first1= D. |last1= Barmpoutis |first2=R. M. |last2= Murray | title = Networks with the Smallest Average Distance and the Largest Average Clustering | eprint = 1007.4031 | year = 2010 | class = q-bio.MN}}</ref> .

具有最大可能平均集聚系数的网络被发现具有模块结构，且不同节点之间存在尽可能小的平均距离。<ref name=BarmpoutisMurray2010 />

具有最大可能平均集聚系数的网络被发现具有模块结构，且不同节点之间存在尽可能小的平均距离。<ref name=BarmpoutisMurray2010 />