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Small World and Scale Free Properties
"... Abstract: Recent interest in complex networks has catalysed the development of numerous models to help artificially generate and understand these networks. Watts and Strogatz presented a model [37] to explain how the two properties of small world networks, high clustering coefficient and low average ..."
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and scale free properties in the real world. In this paper, we focus on social networks and comparatively study the structure of real world and artificially generated networks. The differences and similarities of different models are highlighted and their shortcomings are identified. Further more, we
Scale-Free Property of Affordable Neural Network
"... Abstract—We have recently proposed a novel neural network structure called an Affordable Neural Network (AfNN), in which affordable neurons of the hidden layer are considered as the elements responsible for the robust-ness property as is observed in human brain function. We have confirmed that the A ..."
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that the AfNN gains good performance both of the generalization ability and the learning ability. In this study, we focus on the firng frequency of neurons in the hidden layer and the amount of weight changes during the learning process. By computer simulations, we confirm that the AfNN generates scale-free
Cognitive Maps of Complex Systems Show Hierarchical Structure and Scale-Free Properties
, 2006
"... Many networks in natural and human-made systems exhibit scale-free properties and are small worlds. Now we show that people’s understanding of complex systems in their cognitive maps also follow a scale-free topology (Pk = k −λ, λ ∈ [1.24, 3.03]; r 2 ≥ 0.95). People focus on a few attributes, as ind ..."
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Many networks in natural and human-made systems exhibit scale-free properties and are small worlds. Now we show that people’s understanding of complex systems in their cognitive maps also follow a scale-free topology (Pk = k −λ, λ ∈ [1.24, 3.03]; r 2 ≥ 0.95). People focus on a few attributes
Small-world and Scale-free Properties of Urban Street Networks: A Tutorial
"... This tutorial provides a step by step guide for calculating some measures of urban street networks in order to examine if they possess small-world and scale-free properties (Jiang and Claramunt, 2004). The urban street network of the French city Avignon is used as an example. A graph is characterize ..."
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This tutorial provides a step by step guide for calculating some measures of urban street networks in order to examine if they possess small-world and scale-free properties (Jiang and Claramunt, 2004). The urban street network of the French city Avignon is used as an example. A graph
LEARNING-INDUCED MODULATION OF SCALE-FREE PROPERTIES OF BRAIN ACTIVITY MEASURED WITH MEG
, 2013
"... Previous studies have suggested that infraslow brain activity could play an important role in cognition. Its scale-free properties (coarsely described by its 1/f power spectrum) are indeed modulated between contrasted conscious states (sleep vs. awake). However, finer modulations remain to be invest ..."
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Cited by 4 (2 self)
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Previous studies have suggested that infraslow brain activity could play an important role in cognition. Its scale-free properties (coarsely described by its 1/f power spectrum) are indeed modulated between contrasted conscious states (sleep vs. awake). However, finer modulations remain
Scale free properties of random k-trees
, 2010
"... Scale free graphs have attracted attention as their non-uniform structure that can be used as a model for many social networks including the WWW and the Internet. In this paper, we propose a simple random model for generating scale free k-trees. For any fixed integer k, a k-tree consists of a genera ..."
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Cited by 10 (1 self)
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Scale free graphs have attracted attention as their non-uniform structure that can be used as a model for many social networks including the WWW and the Internet. In this paper, we propose a simple random model for generating scale free k-trees. For any fixed integer k, a k-tree consists of a
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