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We study the growth of a directed transportation network, such as a food web, in which links carry resources. We propose a growth process in which new nodes (or species) preferentially attach to existing nodes with high indegree (in…

Statistical Mechanics · Physics 2008-03-17 Volkan Sevim , Per Arne Rikvold

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…

Statistical Mechanics · Physics 2007-05-23 Marcelo D. S. de Meneses , Sharon D. da Cunha , D. J. B. Soares , L. R. da Silva

Many societies are organized in networks that are formed by people who meet and interact over time. In this paper, we present a first model to capture the micro-foundations of social networks evolution, where boundedly rational agents of…

Social and Information Networks · Computer Science 2015-08-17 Ahmed M. Alaa , Kartik Ahuja , Mihaela van der Schaar

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

Many real-world networks have properties of small-world networks, with clustered local neighborhoods and low average-shortest path (ASP). They may also show a scale-free degree distribution, which can be generated by growth and preferential…

Statistical Mechanics · Physics 2007-05-23 Marcus Kaiser , Claus C. Hilgetag

In principle, the rules of links formation of a network model can be considered as a kind of link prediction algorithm. By revisiting the preferential attachment mechanism for generating a scale-free network, here we propose a class of…

Physics and Society · Physics 2012-11-09 Ke Hu , Ju Xiang , Wanchun Yang , Xiaoke Xu , Yi Tang

We introduce a mechanism which models the emergence of the universal properties of complex networks, such as scale independence, modularity and self-similarity, and unifies them under a scale-free organization beyond the link. This brings a…

Discriminating between competing explanatory models as to which is more likely responsible for the growth of a network is a problem of fundamental importance for network science. The rules governing this growth are attributed to mechanisms…

Social and Information Networks · Computer Science 2021-04-21 Naomi A. Arnold , Raul J. Mondragon , Richard G. Clegg

In this paper, we first discuss the origin of preferential attachment. Then we establish the generalized preferential attachment which has two new properties; first, it encapsulates both the topological and weight aspects of a network,…

Physics and Society · Physics 2007-05-23 Chen Chen

Self-organization of robust and efficient networks is important for a future design of communication or transportation systems, because both characteristics are not coexisting in many real networks. As one of the candidates for the…

Physics and Society · Physics 2022-06-15 Fuxuan Liao , Yukio Hayashi

Preferential attachment is an appealing edge generating mechanism for modeling social networks. It provides both an intuitive description of network growth and an explanation for the observed power laws in degree distributions. However,…

Methodology · Statistics 2017-12-21 Phyllis Wan , Tiandong Wang , Richard A. Davis , Sidney I. Resnick

We introduce evolving networks where new vertices preferentially connect to the more central parts of a network. This makes such networks compact. Finite networks grown under the preferential compactness mechanism have complex…

Disordered Systems and Neural Networks · Physics 2007-05-23 M. J. Alava , S. N. Dorogovtsev

The question is: What does happen to the real-world networks which cause them not to grow permanently? The idea here is that real-world networks have to pay the cost of growth. We investigate the growth and trade-off between value and cost…

Mathematical Finance · Quantitative Finance 2020-08-18 Sheida Hasani , Razieh Masoomi , Jamshid Ardalankia , Mohammadbashir Sedighi , Hamid Jafari

We consider a preferential attachment model that incorporates an anomaly. Our goal is to understand the evolution of the network before and after the occurrence of the anomaly by studying the influence of the anomaly on the structural…

Physics and Society · Physics 2025-05-07 Qiu Liang , Remco van der Hofstad , Nelly Litvak

The evolution processes of complex systems carry key information in the systems' functional properties. Applying machine learning algorithms, we demonstrate that the historical formation process of various networked complex systems can be…

Physics and Society · Physics 2024-03-25 Junya Wang , Yi-Jiao Zhang , Cong Xu , Jiaze Li , Jiachen Sun , Jiarong Xie , Ling Feng , Tianshou Zhou , Yanqing Hu

We show that to explain the growth of the citation network by preferential attachment (PA), one has to accept that individual nodes exhibit heterogeneous fitness values that decay with time. While previous PA-based models assumed either…

Physics and Society · Physics 2011-12-05 Matus Medo , Giulio Cimini , Stanislao Gualdi

We present analytical results for the effect of preferential node deletion on the structure of networks that evolve via node addition and preferential attachment. To this end, we consider a preferential-attachment-preferential-deletion…

Physics and Society · Physics 2025-06-24 Barak Budnick , Ofer Biham , Eytan Katzav

Various models have been recently proposed to reflect and predict different properties of complex networks. However, the community structure, which is one of the most important properties, is not well studied and modeled. In this paper, we…

Physics and Society · Physics 2019-02-05 Aleksandr Dorodnykh , Liudmila Ostroumova Prokhorenkova , Egor Samosvat

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…

Physics and Society · Physics 2009-11-13 Xin-Jian Xu , Xun Zhang , J. F. F. Mendes

In this paper we introduce a new type of preferential attachment network, the growth of which is based on the eigenvalue centrality. In this network, the agents attach most probably to the nodes with larger eigenvalue centrality which…

Statistical Mechanics · Physics 2026-02-23 Vadood Adami , Zahra Ebadi , Morteza Nattagh-Najafi