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We propose a probabilistic growth model for transport networks which employs a balance between popularity of nodes and the physical distance between nodes. By comparing the degree of each node in the model network and the WAN, we observe…

物理与社会 · 物理学 2016-12-21 T. Verma , N. A. M. Araújo , J. Nagler , J. S. Andrade , H. J. Herrmann

We model the evolution of the Internet at the Autonomous System level as a process of competition for users and adaptation of bandwidth capability. We find the exponent of the degree distribution as a simple function of the growth rates of…

无序系统与神经网络 · 物理学 2009-11-10 M. Angeles Serrano , Marian Boguna , Albert Diaz-Guilera

In this paper we present a model for the growth and evolution of Internet providers. The model reproduces the data observed for the Internet connection as probed by tracing routes from different computers. This problem represents a…

无序系统与神经网络 · 物理学 2009-11-07 A. Capocci , G. Caldarelli , R. Marchetti , L. Pietronero

In complex networks a common task is to identify the most important or "central" nodes. There are several definitions, often called centrality measures, which often lead to different results. Here we study extensively correlations between…

物理与社会 · 物理学 2009-11-13 Magnus Jungsbluth , Bernd Burghardt , Alexander K. Hartmann

We find that a wide class of developing and decaying networks has scaling properties similar to those that were recently observed by Barab\'{a}si and Albert in the particular case of growing networks. The networks considered here evolve…

凝聚态物理 · 物理学 2009-10-31 S. N. Dorogovtsev , J. F. F. Mendes

We introduce and study a general model of social network formation and evolution based on the concept of preferential link formation between similar nodes and increased similarity between connected nodes. The model is studied numerically…

物理与社会 · 物理学 2007-05-23 George C. M. A. Ehrhardt , Matteo Marsili , Fernando Vega-Redondo

In this note we make some specific observations on the distribution of the degree of a given vertex in certain model of randomly growing networks. The rule for network growth is the following. Starting with an initial graph of minimum…

组合数学 · 数学 2014-01-07 Linda Farczadi , Nicholas Wormald

We introduce a growing network model in which a new node attaches to a randomly-selected node, as well as to all ancestors of the target node. This mechanism produces a sparse, ultra-small network where the average node degree grows…

统计力学 · 物理学 2009-11-10 P. L. Krapivsky , S. Redner

We introduce a growing network evolution model with nodal attributes. The model describes the interactions between potentially violent V and non-violent N agents who have different affinities in establishing connections within their own…

物理与社会 · 物理学 2012-01-12 Kristinka Ivanova , Ivan Iordanov

We analyze a science collaboration network, i.e. a network whose nodes are scientists with edges connecting them for each paper published together. Furthermore we develop a model for the simulation of discontiguous small-world networks that…

统计力学 · 物理学 2007-05-23 Felix Putsch

The collaboration network is an example of a social network which has both non-trivial temporal and spatial dependence. Based on the observations of collaborations in Physical Review Letters, a model of collaboration network is proposed…

物理与社会 · 物理学 2009-11-13 Anjan Kumar Chandra , Kamalika Basu Hajra , Pratap Kumar Das , Parongama Sen

A broad bibliographical study suggests a scarcity of quantitative models of simulation integrating both network and urban growth. This absence may be due to diverging interests of concerned disciplines, resulting in a lack of communication.…

数字图书馆 · 计算机科学 2016-05-31 Juste Raimbault

We present a model for growing information networks where the ageing of a node depends on the time at which it entered the network and on the last time it was cited. The model is shown to undergo a transition from a small-world to…

物理与社会 · 物理学 2007-05-23 R. Lambiotte

Many real world systems can be expressed as complex networks of interconnected nodes. It is frequently important to be able to quantify the relative importance of the various nodes in the network, a task accomplished by defining some…

物理与社会 · 物理学 2016-08-08 José Ricardo Furlan Ronqui , Gonzalo Travieso

In this paper, we provide a review on both fundamentals of social networks and latent space modeling. The former discusses important topics related to network description, including vertex characteristics and network structure; whereas the…

社会与信息网络 · 计算机科学 2020-12-07 Juan Sosa , Lina Buitrago

We propose a novel model-selection method for dynamic networks. Our approach involves training a classifier on a large body of synthetic network data. The data is generated by simulating nine state-of-the-art random graph models for dynamic…

社会与信息网络 · 计算机科学 2024-05-28 Lourens Touwen , Doina Bucur , Remco van der Hofstad , Alessandro Garavaglia , Nelly Litvak

Many complex networks from the World-Wide-Web to biological networks are growing taking into account the heterogeneous features of the nodes. The feature of a node might be a discrete quantity such as a classification of a URL document as…

物理与社会 · 物理学 2013-05-30 Luca Ferretti , Michele Cortelezzi , Bin Yang , Giacomo Marmorini , Ginestra Bianconi

We introduce and simulate a growth model of the world-wide Web based on the dynamics of outgoing links that is motivated by the conduct of the agents in the real Web to update outgoing links (re)directing them towards constantly changing…

统计力学 · 物理学 2009-10-31 Bosiljka Tadic

Accurately determining and classifying the structure of complex networks is the focus of much current research. One class of network of particular interest are metabolic pathways, which have previously been studied from a graph theoretical…

数学物理 · 物理学 2012-10-10 Henry Dorrian , Kieran Smallbone , Jon borresen

How does the collaboration network of researchers coalesce around a scientific topic? What sort of social restructuring occurs as a new field develops? Previous empirical explorations of these questions have examined the evolution of…

社会与信息网络 · 计算机科学 2018-01-16 Daniel T. Citron , Samuel F. Way