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Network growth is currently explained through mechanisms that rely on node prestige measures, such as degree or fitness. In many real networks those who create and connect nodes do not know the prestige values of existing nodes, but only…

Disordered Systems and Neural Networks · Physics 2007-05-23 Santo Fortunato , Alessandro Flammini , Filippo Menczer

In this paper, we propose a general model for collaboration networks. Depending on a single free parameter "{\bf preferential exponent}", this model interpolates between networks with a scale-free and an exponential degree distribution. The…

Statistical Mechanics · Physics 2009-11-11 Tao Zhou , Ying-di Jin , Bing-Hong Wang , Da-Ren He , Pei-Pei Zhang , Yue He , Bei-Bei Su , Kan Chen , Zhong-Zhi Zhang

Through the distinction between ``real'' and ``virtual'' links between the nodes of a graph, we develop a set of simple rules leading to scale-free networks with a tunable degree distribution exponent. Albeit sharing some similarities with…

Statistical Mechanics · Physics 2007-05-23 F. Stauffer

Recently, one paper in Nature(Papadopoulos, 2012) raised an old debate on the origin of the scale-free property of complex networks, which focuses on whether the scale-free property origins from the optimization or not. Because the…

Social and Information Networks · Computer Science 2012-12-04 Bojin Zheng , Hongrun Wu , Jun Qin , Wenfei Lan , Wenhua Du

There are many networks in real life which exist as form of Scale-free networks such as World Wide Web, protein-protein interaction network, semantic networks, airline networks, interbank payment networks, etc. If we want to analyze these…

Social and Information Networks · Computer Science 2026-03-23 Rakib Hassan Pran

The degree distribution of a real world network -- the number of links per node -- often follows a power law, with some hubs having many more links than traditional graph generation methods predict. For years, preferential attachment and…

Social and Information Networks · Computer Science 2024-09-30 Josh Johnston , Tim Andersen

A network is scale-free if its connectivity density function is proportional to a power-law distribution. Scale-free networks may provide an explanation for the robustness observed in certain physical and biological phenomena, since the…

Molecular Networks · Quantitative Biology 2018-07-03 Peter Clote

Many complex systems--from social and communication networks to biological networks and the Internet--are thought to exhibit scale-free structure. However, prevailing explanations rely on the constant addition of new nodes, an assumption…

Adaptation and Self-Organizing Systems · Physics 2022-11-10 Christopher W. Lynn , Caroline M. Holmes , Stephanie E. Palmer

In this work we explore degree assortativity in complex networks, and extend its usual definition beyond that of nearest neighbours. We apply this definition to model networks, and describe a rewiring algorithm that induces assortativity.…

Physics and Society · Physics 2024-06-04 Pádraig MacCarron , Shane Mannion , Thierry Platini

Retractions undermine the reliability of scientific literature and the foundation of future research. Analyzing collaboration networks in retracted papers can identify risk factors, such as recurring co-authors or institutions. This study…

Information Retrieval · Computer Science 2024-11-27 Kiran Sharma , Aanchal Sharma , Jazlyn Jose , Vansh Saini , Raghavraj Sobti , Ziya Uddin

Author disambiguation arises when different authors share the same name, which is a critical task in digital libraries, such as DBLP, CiteULike, CiteSeerX, etc. While the state-of-the-art methods have developed various paper embedding-based…

Information Retrieval · Computer Science 2020-12-01 Na Li , Renyu Zhu , Xiaoxu Zhou , Xiangnan He , Wenyuan Cai , Ming Gao , Aoying Zhou

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…

Statistical Mechanics · Physics 2007-05-23 Felix Putsch

Scale-free networks, in which the distribution of the degrees obeys a power-law, are ubiquitous in the study of complex systems. One basic network property that relates to the structure of the links found is the degree assortativity, which…

Physics and Society · Physics 2015-06-22 Oliver Williams , Charo I. Del Genio

We discuss three related models of scale-free networks with the same degree distribution but different correlation properties. Starting from the Barabasi-Albert construction based on growth and preferential attachment we discuss two other…

Statistical Mechanics · Physics 2009-11-10 R. Xulvi-Brunet , W. Pietsch , I. M. Sokolov

Co-evolution exhibited by a network system, involving the intricate interplay between the dynamics of the network itself and the subsystems connected by it, is a key concept for understanding the self-organized, flexible nature of…

Physics and Society · Physics 2012-11-14 Takaaki Aoki , Toshio Aoyagi

A scale-free network is grown in the Euclidean space with a global directional bias. On a vertical plane, nodes are introduced at unit rate at randomly selected points and a node is allowed to be connected only to the subset of nodes which…

Statistical Mechanics · Physics 2009-11-10 S. S. Manna , G. Mukherjee , Parongama Sen

Self-similar networks with scale-free degree distribution have recently attracted much attention, since these apparently incompatible properties were reconciled in a paper by Song et al. by an appropriate box-counting method that enters the…

Statistical Mechanics · Physics 2009-11-11 Soon-Hyung Yook , Filippo Radicchi , Hildegard Meyer-Ortmanns

We present a simple mechanism for generating undirected scale-free networks using random walkers, where the network growth is determined by choosing parent vertices by sequential random walks. We show that this mechanism produces scale-free…

Statistical Mechanics · Physics 2007-05-23 Jari Saramaki , Kimmo Kaski

We generalize the degree-organizational view of real-world networks with broad degree-distributions in a landscape analogue with mountains (high-degree nodes) and valleys (low-degree nodes). For example, correlated degrees between adjacent…

Physics and Society · Physics 2008-02-01 Jacob Bock Axelsen , Sebastian Bernhardsson , Martin Rosvall , Kim Sneppen , Ala Trusina

Many investigations of scientific collaboration are based on statistical analyses of large networks constructed from bibliographic repositories. These investigations often rely on a wealth of bibliographic data, but very little or no other…

Data Analysis, Statistics and Probability · Physics 2010-12-24 Alberto Pepe , Marko A. Rodriguez