The effect of hub nodes on the community structure in scale-free networks

2011 ◽  
Vol 390 (21-22) ◽  
pp. 4027-4033 ◽  
Author(s):  
Yang Wang ◽  
Yanqing Hu ◽  
Zengru Di ◽  
Ying Fan
Keyword(s):  
Community Structure ◽  
Scale Free ◽  
Scale Free Networks

scholarly journals Phase synchronization on scale-free networks with community structure

2007 ◽  
Vol 368 (6) ◽  
pp. 431-434 ◽  
Author(s):  
Tao Zhou ◽  
Ming Zhao ◽  
Guanrong Chen ◽  
Gang Yan ◽  
Bing-Hong Wang
Keyword(s):  
Community Structure ◽  
Phase Synchronization ◽  
Scale Free ◽  
Scale Free Networks

Epidemic spreading in weighted scale-free networks with community structure

2009 ◽  
Vol 2009 (07) ◽  
pp. P07043 ◽  
Author(s):  
Xiangwei Chu ◽  
Jihong Guan ◽  
Zhongzhi Zhang ◽  
Shuigeng Zhou
Keyword(s):  
Community Structure ◽  
Epidemic Spreading ◽  
Scale Free ◽  
Scale Free Networks

Existence of chimera-like state in community structured networks

2020 ◽  
Vol 31 (05) ◽  
pp. 2050069 ◽  
Author(s):  
Nastaran Lotfi ◽  
Amir Hossein Darooneh
Keyword(s):  
Community Structure ◽  
Complex Networks ◽  
Complex Network ◽  
Community Structures ◽  
Global Synchronization ◽  
Scale Free ◽  
Chimera State ◽  
Mixing Parameter ◽  
Scale Free Networks ◽  
Network Area

Synchronization is getting high attention in different fields specially in complex network area in the recent years. One of its new aspects is Chimera state in which some groups of oscillators are synchronized while the others are in the incoherent state. Here, we study how this state depends on the community structure in complex networks. In this work, we consider scale-free networks with community structures and study how the measurements such as the size of the community and mixing parameter could influence the global synchronization and chimera-like state.

Improving the robustness of scale-free networks by maintaining community structure

2019 ◽  
Vol 7 (6) ◽  
pp. 838-864 ◽  
Author(s):  
Marzieh Mozafari ◽  
Mohammad Khansari
Keyword(s):  
Community Structure ◽  
Degree Distribution ◽  
Network Performance ◽  
Network Robustness ◽  
Degree Centrality ◽  
Functional Modules ◽  
Scale Free ◽  
Scale Free Networks ◽  
Artificial Network ◽  
Attack Strategy

Abstract Scale-free networks, which play an important role in modelling human activities, are always suffering from intentional attacks which have serious consequences on their functionality. Degree distribution and community structure are two distinguishing characteristics of these networks considered in optimizing network robustness process recently. Since community structure is known as functional modules in some networks, modifying them during the improving network robustness process may affect network performance. We propose a preferential rewiring method to improve network robustness which not only keeps degree distribution unchanged but also preserves community structure and decreases the number of rewired edges at the same time. At first, the robustness of each community is improved by applying a smart rewiring method based on the neighbourhood of nodes. Then, relations between communities are gotten more robust with a preferential rewiring based on degree and betweenness hybrid centrality of nodes. This method was applied to several types of networks including Dolphins, WU-PowerGrid and US-Airline as real-world networks and Lancichinetti–Fortunato–Radicchi benchmark model as an artificial network with the scale-free property. The results show that the proposed method enhances the robustness of all networks against degree centrality attacks between 50% and 80% and betweenness centrality attacks between 30% and 70%. Whereas, in all cases, community structure preserved more than 50%. In comparison with previous studies, the proposed method can improve network robustness more significantly and decrease the number of rewires. It also is not dependent on the attack strategy.

Response of scale-free networks with community structure to external stimuli

2009 ◽  
Vol 388 (14) ◽  
pp. 2987-2994 ◽  
Author(s):  
Ye Wu ◽  
Ping Li ◽  
Maoyin Chen ◽  
Jinghua Xiao ◽  
Jürgen Kurths
Keyword(s):  
Community Structure ◽  
Scale Free ◽  
Scale Free Networks ◽  
External Stimuli
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