scholarly journals Network Size Estimation in Small-World Networks Under Byzantine Faults

2019 ◽  
Author(s):  
Soumyottam Chatterjee ◽  
Gopal Pandurangan ◽  
Peter Robinson
Keyword(s):  
Small World ◽  
Network Size ◽  
Size Estimation ◽  
Small World Networks ◽  
Byzantine Faults

scholarly journals Evolution of Conformity Dynamics in Complex Social Networks

Symmetry ◽  
2019 ◽  
Vol 11 (3) ◽  
pp. 299 ◽  
Author(s):  
Yuhui Gong ◽  
Qian Yu
Keyword(s):  
Social Networks ◽  
Random Network ◽  
Small World ◽  
Network Size ◽  
Small World Network ◽  
Scale Free Network ◽  
Small World Networks ◽  
Dominant Group ◽  
Scale Free ◽  
Free Network

Conformity is a common phenomenon among people in social networks. In this paper, we focus on customers’ conformity behaviors in a symmetry market where customers are located in a social network. We establish a conformity model and analyze it in ring network, random network, small-world network, and scale-free network. Our simulations shown that topology structure, network size, and initial market share have significant effects on the evolution of customers’ conformity behaviors. The market will likely converge to a monopoly state in small-world networks but will form a duopoly market in scale networks. As the size of the network increases, there is a greater possibility of forming a dominant group of preferences in small-world network, and the market will converge to the monopoly of the product which has the initial selector in the market. Also, network density will become gradually significant in small-world networks.

Networks

2018 ◽  
Author(s):  
Stefan Thurner ◽  
Rudolf Hanel ◽  
Peter Klimekl
Keyword(s):  
Complex Systems ◽  
Complex Networks ◽  
Phase Diagrams ◽  
Community Detection ◽  
Network Science ◽  
Small World ◽  
Small World Networks ◽  
Multilayer Networks ◽  
Basic Vocabulary

Understanding the interactions between the components of a system is key to understanding it. In complex systems, interactions are usually not uniform, not isotropic and not homogeneous: each interaction can be specific between elements.Networks are a tool for keeping track of who is interacting with whom, at what strength, when, and in what way. Networks are essential for understanding of the co-evolution and phase diagrams of complex systems. Here we provide a self-contained introduction to the field of network science. We introduce ways of representing and handle networks mathematically and introduce the basic vocabulary and definitions. The notions of random- and complex networks are reviewed as well as the notions of small world networks, simple preferentially grown networks, community detection, and generalized multilayer networks.

scholarly journals Multifractal analysis of eigenvectors of small-world networks

2021 ◽  
Vol 144 ◽  
pp. 110745
Author(s):  
Ankit Mishra ◽  
Jayendra N. Bandyopadhyay ◽  
Sarika Jalan
Keyword(s):  
Multifractal Analysis ◽  
Small World ◽  
Small World Networks

scholarly journals Dynamic rewiring in small world networks

2005 ◽  
Vol 72 (6) ◽  
Author(s):  
J. P. L. Hatchett ◽  
N. S. Skantzos ◽  
T. Nikoletopoulos
Keyword(s):  
Small World ◽  
Small World Networks
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