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Related papers: A Mutual Selection Model for Weighted Networks

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In this paper, we propose a self-learning mutual selection model to characterize weighted evolving networks. By introducing the self-learning probability $p$ and the general mutual selection mechanism, which is controlled by the parameter…

In most networks, the connection between a pair of nodes is the result of their mutual affinity and attachment. In this letter, we will propose a Mutual Attraction Model to characterize weighted evolving networks. By introducing the initial…

Disordered Systems and Neural Networks · Physics 2009-11-11 Wen-Xu Wang , Bo Hu , Bing-Hong Wang , Gang Yan

We will introduce two evolving models that characterize weighted complex networks. Though the microscopic dynamics are different, these models are found to bear a similar mathematical framework, and hence exhibit some common behaviors, for…

Disordered Systems and Neural Networks · Physics 2007-05-23 Bo Hu , Gang Yan , Wen-Xu Wang , Wen Chen

We will introduce two evolving models that characterize weighted complex networks. Though the microscopic dynamics are different, these models are found to bear a similar mathematical framework, and hence exhibit some common behaviors, for…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Bo Hu , Gang Yan , Wen-Xu Wang , Wen Chen

Inspired by scientific collaboration networks, especially our empirical analysis of the network of econophysicists, an evolutionary model for weighted networks is proposed. Both degree-driven and weight-driven models are considered.…

Disordered Systems and Neural Networks · Physics 2007-05-23 Menghui Li , Jinshan Wu , Dahui Wang , Tao Zhou , Zengru Di , Ying Fan

The configuration model is one of the most successful models for generating uncorrelated random networks. We analyze its behavior when the expected degree sequence follows a power law with exponent smaller than two. In this situation, the…

Disordered Systems and Neural Networks · Physics 2009-11-11 M. A. Serrano , M. Boguna

A network's assortativity is the tendency of vertices to bond with others based on similarities, usually excess vertex degree. In this paper we consider assortativity in weighted networks, both directed and undirected. To this end, we…

Physics and Society · Physics 2022-07-20 Uta Pigorsch , Marc Sabek

Mutualism is a biological interaction mutually beneficial for both species involved, such as the interaction between plants and their pollinators. Real mutualistic communities can be understood as weighted bipartite networks and they…

Populations and Evolution · Quantitative Biology 2014-03-24 Manuel Jiménez-Martín , Juan Manuel Pastor , Juan Carlos Losada , Javier Galeano

We derive the sampling properties of random networks based on weights whose pairwise products parameterize independent Bernoulli trials. This enables an understanding of many degree-based network models, in which the structure of realized…

Statistics Theory · Mathematics 2013-06-07 Sofia C. Olhede , Patrick J. Wolfe

Real-world networks process structured connections since they have non-trivial vertex degree correlation and clustering. Here we propose a toy model of structure formation in real-world weighted network. In our model, a network evolves by…

Physics and Society · Physics 2015-06-26 C. C. Leung , H. F. Chau

In this paper we provide numerical evidence of the richer behavior of the connectivity degrees in heterogeneous preferential attachment networks in comparison to their homogeneous counterparts. We analyze the degree distribution in the…

Other Condensed Matter · Physics 2009-11-13 A. Santiago , R. M. Benito

Many real networks are complex and have power-law vertex degree distribution, short diameter, and high clustering. We analyze the network model based on thresholding of the summed vertex weights, which belongs to the class of networks…

Other Condensed Matter · Physics 2007-05-23 Naoki Masuda , Hiroyoshi Miwa , Norio Konno

Many social, technological, biological, and economical systems are best described by weighted networks, whose properties and dynamics depend not only on their structures but also on the connection weights among their nodes. However, most…

Disordered Systems and Neural Networks · Physics 2015-06-24 Chunguang Li , Guanrong Chen

The linear preferential attachment hypothesis has been shown to be quite successful to explain the existence of networks with power-law degree distributions. It is then quite important to determine if this mechanism is the consequence of a…

Statistical Mechanics · Physics 2009-11-07 Alexei Vazquez

In this paper, we propose a new model that allows us to investigate this competitive aspect of real networks in quantitative terms. Through theoretical analysis and numerical simulations, we find that the competitive network have the…

Physics and Society · Physics 2015-05-05 Jin-Li Guo , Chao Fan , Ya-Li Ji

For most technical networks, the interplay of dynamics, traffic and topology is assumed crucial to their evolution. In this paper, we propose a traffic-driven evolution model of weighted technological networks. By introducing a general…

Disordered Systems and Neural Networks · Physics 2009-11-11 Wen-Xu Wang , Bo Hu , Gang Yan , Qing Ou , Bing-Hong Wang

The recent high level of interest in weighted complex networks gives rise to a need to develop new measures and to generalize existing ones to take the weights of links into account. Here we focus on various generalizations of the…

Statistical Mechanics · Physics 2013-05-29 J. Saramaki , M. Kivela , J. -P. Onnela , K. Kaski , J. Kertesz

We define a class of growing networks in which new nodes are given a spatial position and are connected to existing nodes with a probability mechanism favoring short distances and high degrees. The competition of preferential attachment and…

Probability · Mathematics 2015-03-18 Emmanuel Jacob , Peter Mörters

This paper presents an evolution model of weighted networks in which the structural growth and weight dynamics are driven by human behavior, i.e. passenger route choice behavior. Transportation networks grow due to people's increasing…

Physics and Society · Physics 2007-09-27 Yihong Hu , Daoli Zhu , Nianqu Zhu

We present a new approach to the calculation of measures in weighted networks, based on the translation of a weighted network into an ensemble of edges. This leads to a straightforward generalization of any measure defined on unweighted…

Statistical Mechanics · Physics 2009-07-06 S. E. Ahnert , D. Garlaschelli , T. M. Fink , G. Caldarelli
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