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The topological structure of complex networks has fascinated researchers for several decades, resulting in the discovery of many universal properties and reoccurring characteristics of different kinds of networks. However, much less is…

社会与信息网络 · 计算机科学 2017-06-28 Yvonne Anne Pignolet , Matthieu Roy , Stefan Schmid , Gilles Tredan

The topological structure of complex networks has fascinated researchers for several decades, resulting in the discovery of many universal properties and reoccurring characteristics of different kinds of networks. However, much less is…

社会与信息网络 · 计算机科学 2017-03-02 Yvonne Anne Pignolet , Matthieu Roy , Stefan Schmid , Gilles Tredan

Complex networks are ubiquitous in nature and play a role of paramount importance in many contexts. Internet and the cyberworld, which permeate our everyday life, are self-organized hierarchical graphs. Urban traffic flows on intricate road…

物理与社会 · 物理学 2014-08-08 Francesca Di Patti , Duccio Fanelli , Francesco Piazza

An important feature of many complex systems, both natural and artificial, is the structure and organization of their interaction networks with interesting properties. Here we present a theory of self-organization by evolutionary adaptation…

适应与自组织系统 · 物理学 2007-05-23 Venkat Venkatasubramanian , Santhoji Katare , Priyan R. Patkar , Fangping Mu

We review the recent fast progress in statistical physics of evolving networks. Interest has focused mainly on the structural properties of random complex networks in communications, biology, social sciences and economics. A number of giant…

统计力学 · 物理学 2015-06-24 S. N. Dorogovtsev , J. F. F. Mendes

Network motifs are recurrent, small-scale patterns of interactions observed frequently in a system. They shed light on the interplay between the topology and the dynamics of complex networks across various domains. In this work, we focus on…

社会与信息网络 · 计算机科学 2023-11-08 Quintino Francesco Lotito , Federico Musciotto , Federico Battiston , Alberto Montresor

Network theory provides various tools for investigating the structural or functional topology of many complex systems found in nature, technology and society. Nevertheless, it has recently been realised that a considerable number of systems…

数据分析、统计与概率 · 物理学 2012-03-23 Jonathan F. Donges , Hanna C. H. Schultz , Norbert Marwan , Yong Zou , Juergen Kurths

Comparing networks is essential for a number of downstream tasks, from clustering to anomaly detection. Despite higher-order interactions being critical for understanding the dynamics of complex systems, traditional approaches for network…

物理与社会 · 物理学 2025-11-03 Helcio Felippe , Alec Kirkley , Federico Battiston

Previous efforts in complex networks research focused mainly on the topological features of such networks, but now also encompass the dynamics. In this Letter we discuss the relationship between structure and dynamics, with an emphasis on…

Subgraph counts - in particular the number of occurrences of small shapes such as triangles - characterize properties of random networks, and as a result have seen wide use as network summary statistics. However, subgraphs are typically…

统计理论 · 数学 2020-06-30 P-A. Maugis

Many complex systems in nature and society can be described in terms of networks capturing the intricate web of connections among the units they are made of. A key question is how to interpret the global organization of such networks as the…

物理与社会 · 物理学 2007-05-23 Gergely Palla , Imre Derenyi , Illes Farkas , Tamas Vicsek

A deluge of new data on social, technological and biological networked systems suggests that a large number of interactions among system units are not limited to pairs, but rather involve a higher number of nodes. To properly encode such…

The structure of real-world social networks in large part determines the evolution of social phenomena, including opinion formation, diffusion of information and influence, and the spread of disease. Globally, network structure is…

社会与信息网络 · 计算机科学 2015-01-20 Sidharth Gupta , Xiaoran Yan , Kristina Lerman

Many networked datasets with units interacting in groups of two or more, encoded with hypergraphs, are accompanied by extra information about nodes, such as the role of an individual in a workplace. Here we show how these node attributes…

社会与信息网络 · 计算机科学 2024-10-31 Anna Badalyan , Nicolò Ruggeri , Caterina De Bacco

The Internet is composed of routing devices connected between them and organized into independent administrative entities: the Autonomous Systems. The existence of different types of Autonomous Systems (like large connectivity providers,…

网络与互联网体系结构 · 计算机科学 2016-08-08 Mariano G. Beiró , Sebastián P. Grynberg , J. Ignacio Alvarez-Hamelin

Syntax connects words to each other in very specific ways. Two words are syntactically connected if they depend directly on each other. Syntactic connections usually happen within a sentence. Gathering all those connection across several…

计算与语言 · 计算机科学 2025-03-11 Juan Soria-Postigo , Luis F Seoane

Complex systems are often driven by higher-order interactions among multiple units, naturally represented as hypergraphs. Understanding dependency structures within these hypergraphs is crucial for understanding and predicting the behavior…

社会与信息网络 · 计算机科学 2025-05-29 John Hood , Caterina De Bacco , Aaron Schein

Many community detection algorithms require the introduction of a measure on the set of nodes. Previously, a lot of efforts have been made to find the top-performing measures. In most cases, experiments were conducted on several datasets or…

社会与信息网络 · 计算机科学 2021-11-03 Rinat Aynulin

A fundamental property of complex networks is the tendency for edges to cluster. The extent of the clustering is typically quantified by the clustering coefficient, which is the probability that a length-2 path is closed, i.e., induces a…

社会与信息网络 · 计算机科学 2018-05-23 Hao Yin , Austin R. Benson , Jure Leskovec

Complex networks provide a means to describe cities through their street mesh, expressing characteristics that refer to the structure and organization of an urban zone. Although other studies have used complex networks to model street…

社会与信息网络 · 计算机科学 2018-06-22 Gabriel Spadon , Gabriel Gimenes , Jose F. Rodrigues-Jr