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Many real systems exhibit the processes of growth and shrink. In this paper, we propose a network evolution model based on the simultaneous application of both node addition and deletion rules. To obtain a higher clustering that is present…

Physics and Society · Physics 2023-12-12 Sergei Sidorov , Sergei Mironov , Timofei D. Emelianov

Graphs are used to model interactions in a variety of contexts, and there is a growing need to quickly assess the structure of a graph. Some of the most useful graph metrics, especially those measuring social cohesion, are based on…

Social and Information Networks · Computer Science 2014-04-22 C. Seshadhri , Ali Pinar , Tamara G. Kolda

Inequalities in social networks arise from linking mechanisms, such as preferential attachment (connecting to popular nodes), homophily (connecting to similar others), and triadic closure (connecting through mutual contacts). While…

Physics and Society · Physics 2026-04-20 Jan Bachmann , Samuel Martin-Gutierrez , Lisette Espín-Noboa , Nicola Cinardi , Fariba Karimi

We study mixing patterns in networks, meaning the propensity for nodes of different kinds to connect to one another. The phenomenon of assortative mixing, whereby nodes prefer to connect to others that are similar to themselves, has been…

Social and Information Networks · Computer Science 2019-04-24 George T. Cantwell , M. E. J. Newman

A network is said to show assortative mixing if the nodes in the network that have many connections tend to be connected to other nodes with many connections. We define a measure of assortative mixing for networks and use it to show that…

Disordered Systems and Neural Networks · Physics 2009-11-07 M. E. J. Newman

We present a generator of random networks where both the degree-dependent clustering coefficient and the degree distribution are tunable. Following the same philosophy as in the configuration model, the degree distribution and the…

Disordered Systems and Neural Networks · Physics 2009-11-11 M. Angeles Serrano , Marian Boguna

Networks provide a popular representation of complex data. Often, different types of relational measurements are taken on the same subjects. Such data can be represented as a \textit{multislice network}, a collection of networks on the same…

Probability · Mathematics 2025-04-02 Kevin Ren , Tara Trauthwein , Gesine Reinert

We propose a novel measure to assess the presence of meso-scale structures in complex networks. This measure is based on the identification of regular patterns in the adjacency matrix of the network, and on the calculation of the quantity…

Physics and Society · Physics 2015-06-18 Massimiliano Zanin , Pedro A. Sousa , Ernestina Menasalvas

Graphical models are frequently used to represent topological structures of various complex networks. Current criteria to assess different models of a network mainly rely on how close a model matches the network in terms of topological…

Networking and Internet Architecture · Computer Science 2015-03-17 Zhengping Fan , Guanrong Chen , Yunong Zhang

We present a novel method for detecting communities in bipartite networks. Based on an extension of the $k$-clique community detection algorithm, we demonstrate how modular structure in bipartite networks presents itself as overlapping…

Data Analysis, Statistics and Probability · Physics 2008-07-22 Sune Lehmann , Martin Schwartz , Lars Kai Hansen

We describe our work in the collection and analysis of massive data describing the connections between participants to online social networks. Alternative approaches to social network data collection are defined and evaluated in practice,…

Social and Information Networks · Computer Science 2011-06-01 Salvatore A. Catanese , Pasquale De Meo , Emilio Ferrara , Giacomo Fiumara , Alessandro Provetti

In this work, we analyse and predict the stability of communities in complex networks. We use a variant of closeness centrality, known as profile closeness, to measure the loyalty of a member towards its community. We show that the profile…

Social and Information Networks · Computer Science 2022-07-14 Sruthi K S , Divya Sindhu Lekha , A Sreekumar , Kannan Balakrishnan

We show that prominent centrality measures in network analysis are all based on additively separable and linear treatments of statistics that capture a node's position in the network. This enables us to provide a taxonomy of centrality…

Physics and Society · Physics 2021-01-25 Francis Bloch , Matthew O. Jackson , Pietro Tebaldi

In recent years, community structure has emerged as a key component of complex network analysis. As more data has been collected, researchers have begun investigating changing community structure across multiple networks. Several methods…

Social and Information Networks · Computer Science 2011-08-03 Matthew Steen , Satoru Hayasaka , Karen Joyce , Paul Laurienti

There is a rich history of models for the interaction of a biological contagion like influenza with the spread of related information such as an influenza vaccination campaign. Recent work on the spread of interacting contagions on networks…

Physics and Society · Physics 2020-09-02 Laurent Hébert-Dufresne , Dina Mistry , Benjamin M. Althouse

Networks are a fundamental model of complex systems throughout the sciences, and network datasets are typically analyzed through lower-order connectivity patterns described at the level of individual nodes and edges. However, higher-order…

Social and Information Networks · Computer Science 2018-02-21 Austin R. Benson

This paper is an extensive survey of literature on complex network communities and clustering. Complex networks describe a widespread variety of systems in nature and society especially systems composed by a large number of highly…

Social and Information Networks · Computer Science 2015-03-24 Biswajit Saha , Amitabha Mandal , Soumendu Bikas Tripathy , Debaprasad Mukherjee

Stream graphs are a very useful mode of representation for temporal network data, whose richness offers a wide range of possible approaches. The various methods aimed at generalising the classical approaches applied to static networks are…

Social and Information Networks · Computer Science 2021-04-14 Mehdi Djellabi , Bertrand Jouve

Rich-club, assortativity and clustering coefficients are frequently-used measures to estimate topological properties of complex networks. Here we find that the connectivity among a very small portion of the richest nodes can dominate the…

Physics and Society · Physics 2015-05-20 Xiao-Ke Xu , Jie Zhang , Michael Small

Although community detection has drawn tremendous amount of attention across the sciences in the past decades, no formal consensus has been reached on the very nature of what qualifies a community as such. In this article we take an…

Social and Information Networks · Computer Science 2011-07-19 Adrien Friggeri , Guillaume Chelius , Eric Fleury