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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…

统计力学 · 物理学 2007-05-23 Jari Saramaki , Kimmo Kaski

We analyze about two hundred naturally occurring networks with distinct dynamical origins to formally test whether the commonly assumed hypothesis of an underlying scale-free structure is generally viable. This has recently been questioned…

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…

统计力学 · 物理学 2007-05-23 F. Stauffer

Many real networks such as the World Wide Web, financial, biological, citation and social networks have a power-law degree distribution. Networks with this feature are also called scale-free. Several models for producing scale-free networks…

社会与信息网络 · 计算机科学 2016-12-23 Akmal Artikov , Aleksandr Dorodnykh , Yana Kashinskaya , Egor Samosvat

Real-world networks tend to be scale free, having heavy-tailed degree distributions with more hubs than predicted by classical random graph generation methods. Preferential attachment and growth are the most commonly accepted mechanisms…

离散数学 · 计算机科学 2022-07-20 Josh Johnston , Tim Andersen

The coupling of scale-free networks with mobile unstructured networks is certainly unusual. In mobile networks, connections active at a given instant are constrained by the geographical distribution of mobile nodes, and by the limited…

分布式、并行与集群计算 · 计算机科学 2016-11-17 Stefano Ferretti , Vittorio Ghini

Link prediction is one of the fundamental problems in network analysis. In many applications, notably in genetics, a partially observed network may not contain any negative examples of absent edges, which creates a difficulty for many…

机器学习 · 统计学 2013-01-30 Yunpeng Zhao , Elizaveta Levina , Ji Zhu

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…

统计力学 · 物理学 2009-11-10 S. S. Manna , G. Mukherjee , Parongama Sen

Predicting missing links in complex networks requires algorithms that are able to explore statistical regularities in the existing data. Here we investigate the interplay between algorithm efficiency and network structures through the…

社会与信息网络 · 计算机科学 2025-02-14 Alexey Vlaskin , Eduardo G. Altmann

Systematic relations between multiple objects that occur in various fields can be represented as networks. Real-world networks typically exhibit complex topologies whose structural properties are key factors in characterizing and further…

物理与社会 · 物理学 2021-04-09 Yoshihisa Tanaka , Ryosuke Kojima , Shoichi Ishida , Fumiyoshi Yamashita , Yasushi Okuno

The statistical modeling of random networks has been widely used to uncover interaction mechanisms in complex systems and to predict unobserved links in real-world networks. In many applications, network connections are collected via…

社会与信息网络 · 计算机科学 2023-03-21 Angus Chan , Tianxi Li

Real-world network datasets are typically obtained in ways that fail to capture all edges. The patterns of missing data are often non-uniform as they reflect biases and other shortcomings of different data collection methods. Nevertheless,…

动力系统 · 数学 2025-04-25 Xie He , Amir Ghasemian , Eun Lee , Alice Schwarze , Aaron Clauset , Peter J. Mucha

Many complex natural and physical systems exhibit patterns of interconnection that conform, approximately, to a network structure referred to as scale-free. Preferential attachment is one of many algorithms that have been introduced to…

物理与社会 · 物理学 2014-11-18 Linjun Zhang , Michael Small , Kevin Judd

All networks can be analyzed at multiple scales. A higher scale of a network is made up of macro-nodes: subgraphs that have been grouped into individual nodes. Recasting a network at higher scales can have useful effects, such as decreasing…

社会与信息网络 · 计算机科学 2022-02-18 Ross Griebenow , Brennan Klein , Erik Hoel

We introduce a simple one-parameter network growth algorithm which is able to reproduce a wide variety of realistic network structures but without having to invoke any global information about node degrees such as preferential-attachment…

统计力学 · 物理学 2007-05-23 David M. D. Smith , Chiu Fan Lee , Neil F. Johnson

What is the underlying mechanism leading to power-law degree distributions of many natural and artificial networks is still at issue. We consider that scale-free networks emerges from self-organizing process, and such a evolving model is…

统计力学 · 物理学 2007-05-23 Gang Yan , Tao Zhou , Ying-Di Jin , Zhong-Qian Fu

Complex networks are graphs representing real-life systems that exhibit unique characteristics not found in purely regular or completely random graphs. The study of such systems is vital but challenging due to the complexity of the…

社会与信息网络 · 计算机科学 2022-07-18 Hafida Benhidour , Lama Almeshkhas , Said Kerrache

We study scale free simple graphs with an exponent of the degree distribution $\gamma$ less than two. Generically one expects such extremely skewed networks -- which occur very frequently in systems of virtually or logically connected units…

统计力学 · 物理学 2007-05-23 Hamed Seyed-allaei , Ginestra Bianconi , Matteo Marsili

Systems with lattice geometry can be renormalized exploiting their coordinates in metric space, which naturally define the coarse-grained nodes. By contrast, complex networks defy the usual techniques, due to their small-world character and…

物理与社会 · 物理学 2023-11-07 Elena Garuccio , Margherita Lalli , Diego Garlaschelli

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…

无序系统与神经网络 · 物理学 2007-05-23 Santo Fortunato , Alessandro Flammini , Filippo Menczer