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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

The study of community networks has attracted considerable attention recently. In this paper, we propose an evolving community network model based on local processes, the addition of new nodes intra-community and new links intra- or…

物理与社会 · 物理学 2009-11-13 Xin-Jian Xu , Xun Zhang , J. F. F. Mendes

Real-world networks are rarely static. Recently, there has been increasing interest in both network growth and network densification, in which the number of edges scales superlinearly with the number of nodes. Less studied but equally…

社会与信息网络 · 计算机科学 2023-05-10 Haochen Pi , Keith Burghardt , Allon G. Percus , Kristina Lerman

The availability of large scale streaming network data has reinforced the ubiquity of power-law distributions in observations and enabled precision measurements of the distribution parameters. The increased accuracy of these measurements…

物理与社会 · 物理学 2021-08-23 Pat Devlin , Jeremy Kepner , Ashley Luo , Erin Meger

We study the evolution of the network properties of a populated network embedded in a genotype space characterised by either a low or a high number of potential links, with particular emphasis on the connectivity and clustering. Evolution…

统计力学 · 物理学 2007-05-23 Paul Anderson , Henrik Jeldtoft Jensen

We analyze growing networks that are built by enhanced redirection. Nodes are sequentially added and each incoming node attaches to a randomly chosen 'target' node with probability 1-r, or to the parent of the target node with probability…

统计力学 · 物理学 2014-07-25 Alan Gabel , P. L. Krapivsky , S. Redner

We propose a natural model of evolving weighted networks in which new links are not necessarily connected to new nodes. The model allows a newly added link to connect directly two nodes already present in the network. This is plausible in…

物理与社会 · 物理学 2011-08-18 Shinji Tanimoto

Paper proposes a model of large networks based on a random preferential attachment graph with addition of complete subgraphs (cliques). The proposed model refers to models of random graphs following the nonlinear preferential attachment…

社会与信息网络 · 计算机科学 2019-04-05 E. B. Yudin

We introduce a network growth model in which the preferential attachment probability includes the fitness vertex and the Euclidean distance between nodes. We grow a planar network around its barycenter. Each new site is fixed in space by…

统计力学 · 物理学 2007-05-23 Marcelo D. S. de Meneses , Sharon D. da Cunha , D. J. B. Soares , L. R. da Silva

Combinations of random and preferential growth for both on-growing and stationary networks are studied and a hierarchical topology is observed. Thus for real world scale-free networks which do not exhibit hierarchical features preferential…

无序系统与神经网络 · 物理学 2015-06-24 Andreas Gronlund , Kim Sneppen , Petter Minnhagen

We provide a framework for modeling social network formation through conditional multinomial logit models from discrete choice and random utility theory, in which each new edge is viewed as a "choice" made by a node to connect to another…

社会与信息网络 · 计算机科学 2020-05-22 Jan Overgoor , Austin R. Benson , Johan Ugander

Several growth models have been proposed in the literature for scale-free complex networks, with a range of fitness-based attachment models gaining prominence recently. However, the processes by which such fitness-based attachment behaviour…

社会与信息网络 · 计算机科学 2017-02-15 Michael Bell , Supun Perera , Mahendrarajah Piraveenan , Michiel Bliemer , Tanya Latty , Chris Reid

This paper proposes an attributed network growth model. Despite the knowledge that individuals use limited resources to form connections to similar others, we lack an understanding of how local and resource-constrained mechanisms explain…

社会与信息网络 · 计算机科学 2019-04-17 Harshay Shah , Suhansanu Kumar , Hari Sundaram

We propose a simple model of social network formation that parameterizes the tendency to establish acquaintances by the relative distance in a representative social space. By means of analytical calculations and numerical simulations, we…

统计力学 · 物理学 2007-05-23 Marian Boguna , Romualdo Pastor-Satorras , Albert Diaz-Guilera , Alex Arenas

Preferential attachment graphs are random graphs designed to mimic properties of typical real world networks. They are constructed by a random process that iteratively adds vertices and attaches them preferentially to vertices that already…

离散数学 · 计算机科学 2018-03-30 Jan Dreier , Philipp Kuinke , Peter Rossmanith

The evolution of complex networks is governed by both growing rules and internal properties. Most evolving network models (e.g. preferential attachment) emphasize on the growing strategy, while neglecting the characteristics of individual…

社会与信息网络 · 计算机科学 2020-05-07 Dong Chen , Hong Yu

In this contribution we introduce local attachment as an universal network-joining protocol for peer-to-peer networks, social networks, or other kinds of networks. Based on this protocol nodes in a finite-size network dynamically create…

统计力学 · 物理学 2007-06-04 Heiko Bauke , David Sherrington

We study empirically the time evolution of scientific collaboration networks in physics and biology. In these networks, two scientists are considered connected if they have coauthored one or more papers together. We show that the…

统计力学 · 物理学 2009-11-07 M. E. J. Newman

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 propose a model of network growth in which the network is co-evolving together with the dynamics of a quantum mechanical system, namely a quantum walk taking place over the network. The model naturally generalizes the Barab\'{a}si-Albert…