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Ever since the Barab\'{a}si-Albert (BA) scale-free network has been proposed, network modeling has been studied intensively in light of the network growth and the preferential attachment (PA). However, numerous real systems are featured…

社会与信息网络 · 计算机科学 2025-11-25 Yuhan Li , Minyu Feng , Jürgen Kurths

There has been considerable recent interest in the properties of networks, such as citation networks and the worldwide web, that grow by the addition of vertices, and a number of simple solvable models of network growth have been studied.…

统计力学 · 物理学 2011-11-09 Cristopher Moore , Gourab Ghoshal , M. E. J. Newman

Several network growth models have been proposed in the literature that attempt to incorporate properties of citation networks. Generally, these models aim at retaining the degree distribution observed in real-world networks. In this work,…

社会与信息网络 · 计算机科学 2020-02-19 Dattatreya Mohapatra , Siddharth Pal , Soham De , Ponnurangam Kumaraguru , Tanmoy Chakraborty

Collaboration networks are studied as an example of growing bipartite networks. These have been previously observed to have structure such as positive correlations between nearest-neighbour degrees. However, a detailed understanding of the…

物理与社会 · 物理学 2009-11-11 Matti Peltomaki , Mikko Alava

We study evolving networks based on the Barabasi-Albert scale-free network model with vertices sensitive to overload breakdown. The load of a vertex is defined as the betweenness centrality of the vertex. Two cases of load limitation are…

无序系统与神经网络 · 物理学 2009-11-07 Petter Holme , Beom Jun Kim

This paper presents a statistically sound method for measuring the accuracy with which a probabilistic model reflects the growth of a network, and a method for optimising parameters in such a model. The technique is data-driven, and can be…

网络与互联网体系结构 · 计算机科学 2009-04-07 Richard Clegg , Raul Landa , Uli Harder , Miguel Rio

In many real growing networks the mean number of connections per vertex increases with time. The Internet, the Word Wide Web, collaboration networks, and many others display this behavior. Such a growth can be called {\em accelerated}. We…

统计力学 · 物理学 2007-05-23 S. N. Dorogovtsev , J. F. F. Mendes

In this paper we present a generalized model for network growth that links the microscopical agent strategies with the large scale behavior. This model is intended to reproduce the largest number of features of the Internet network at the…

统计力学 · 物理学 2007-05-23 Guido Caldarelli , Paolo De Los Rios , Luciano Pietronero

In this paper we present a new version of a network growth model, generalized in order to describe the behavior of social networks. The case of study considered is the preprint archive at cul.arxiv.org. Each node corresponds to a scientist,…

凝聚态物理 · 物理学 2009-11-10 Michele Catanzaro , Guido Caldarelli , Luciano Pietronero

The abundance of models of complex networks and the current insufficient validation standards make it difficult to judge which models are strongly supported by data and which are not. We focus here on likelihood maximization methods for…

物理与社会 · 物理学 2014-03-26 Matus Medo

We develop a simple theoretical framework for the evolution of weighted networks that is consistent with a number of stylized features of real-world data. In our framework, the Barabasi-Albert model of network evolution is extended by…

综合金融 · 定量金融 2015-05-13 Massimo Riccaboni , Stefano Schiavo

Approaches from statistical physics are applied to investigate the structure of network models whose growth rules mimic aspects of the evolution of the world-wide web. We first determine the degree distribution of a growing network in which…

网络与互联网体系结构 · 计算机科学 2021-08-23 P. L. Krapivsky , S. Redner

Research collaborations provide the foundation for scientific advances, but we have only recently begun to understand how they form and grow on a global scale. Here we analyze a model of the growth of research collaboration networks to…

物理与社会 · 物理学 2021-01-28 Keith A. Burghardt , Allon G. Percus , Kristina Lerman

The analysis of networks affects the research of many real phenomena. The complex network structure can be viewed as a network's state at the time of the analysis or as a result of the process through which the network arises. Research…

社会与信息网络 · 计算机科学 2017-01-09 Milos Kudelka , Eliska Ochodkova , Sarka Zehnalova

We introduce and solve a model which considers two coupled networks growing simultaneously. The dynamics of the networks is governed by the new arrival of network elements (nodes) making preferential attachments to pre-existing nodes in…

统计力学 · 物理学 2007-05-23 Dafang Zheng , Guler Ergun

A text network refers to a data type that each vertex is associated with a text document and the relationship between documents is represented by edges. The proliferation of text networks such as hyperlinked webpages and academic citation…

社会与信息网络 · 计算机科学 2016-10-04 Junxian He , Ying Huang , Changfeng Liu , Jiaming Shen , Yuting Jia , Xinbing Wang

We present a detailed study of the part of the Web related to media content, i.e., the Media Web. Using publicly available data, we analyze the evolution of incoming and outgoing links from and to media pages. Based on our observations, we…

信息检索 · 计算机科学 2013-08-02 Damien Lefortier , Liudmila Ostroumova , Egor Samosvat

Based only on the information gathered in a snapshot of a directed network, we present a formal way of checking if the proposed model is correct for the empirical growing network under study. In particular, we show how to estimate the…

物理与社会 · 物理学 2007-05-23 Daniel Fraiman

Mechanistic models can provide an intuitive and interpretable explanation of network growth by specifying a set of generative rules. These rules can be defined by domain knowledge about real-world mechanisms governing network growth or may…

社会与信息网络 · 计算机科学 2025-12-04 Maxwell H Wang , Till Hoffmann , Jukka-Pekka Onnela

We review the main tools which allow for the statistical characterization of weighted networks. We then present two case studies, the airline connection network and the scientific collaboration network, which are representative of critical…

统计力学 · 物理学 2009-11-10 Marc Barthelemy , Alain Barrat , Romualdo Pastor-Satorras , Alessandro Vespignani
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