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Sampling from large networks represents a fundamental challenge for social network research. In this paper, we explore the sensitivity of different sampling techniques (node sampling, edge sampling, random walk sampling, and snowball…

Social and Information Networks · Computer Science 2017-02-20 Claudia Wagner , Philipp Singer , Fariba Karimi , Jürgen Pfeffer , Markus Strohmaier

Homophily -- the tendency of nodes to connect to others of the same type -- is a central issue in the study of networks. Here we take a local view of homophily, defining notions of first-order homophily of a node (its individual tendency to…

Social and Information Networks · Computer Science 2021-07-19 Anna Evtushenko , Jon Kleinberg

Centrality is an important notion in complex networks; it could be used to characterize how influential a node or an edge is in the network. It plays an important role in several other network analysis tools including community detection.…

Social and Information Networks · Computer Science 2017-03-23 Sambaran Bandyopadhyay , M. Narasimha Murty , Ramasuri Narayanam

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

Generalized preferential attachment is defined as the tendency of a vertex to acquire new links in the future with respect to a particular vertex property. Understanding which properties influence link acquisition tendency (LAT) gives us a…

Adaptation and Self-Organizing Systems · Physics 2011-11-09 Amac Herdagdelen , Eser Aygun , Haluk Bingol

The heterogeneity of the influence processes is an important feature of social systems: how we perceive social influence and how we influence other individuals is heavily influenced by our opinion and non-opinion attributes. The latter…

Social and Information Networks · Computer Science 2022-09-07 Ivan V. Kozitsin

We study the detailed growth of a social networking site with full temporal information by examining the creation process of each friendship relation that can collectively lead to the macroscopic properties of the network. We first study…

Physics and Society · Physics 2015-06-03 Haibo Hu , Xiaofan Wang

Generated networks are widely used in network-based research as a convenient simulation environment. Generating universal networks that more accurately reflect real-world patterns is a cornerstone task. This study proposes a vari-linear…

Physics and Society · Physics 2026-04-27 Jinhu Ren , Linyuan Lü

Preferential attachment graphs are random graphs designed to mimic properties of typical real world networks. They are constructed by a random process that iteratively adds vertices and attaches them preferentially to vertices that already…

Discrete Mathematics · Computer Science 2018-03-30 Jan Dreier , Philipp Kuinke , Peter Rossmanith

Agents care not only about the outcomes of collective decisions but also about how decisions are made. In many cases, both the outcome and the procedure affect whether agents see a decision as legitimate, justifiable, or acceptable. We…

Computer Science and Game Theory · Computer Science 2023-10-12 Ben Abramowitz , Nicholas Mattei

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

We investigate the long-time properties of a dynamic, out-of-equilibrium network of individuals holding one of two opinions in a population consisting of two communities of different sizes. Here, while the agents' opinions are fixed, they…

Physics and Society · Physics 2022-02-01 Xiang Li , Mauro Mobilia , Alastair M. Rucklidge , R. K. P. Zia

Homophily based on observables is widespread in networks. Therefore, homophily based on unobservables (fixed effects) is also likely to be an important determinant of the interaction outcomes. Failing to properly account for latent…

Econometrics · Economics 2026-02-09 Andrei Zeleneev

The Saccharomyces cerevisiae protein-protein interaction map, as well as many natural and man-made networks, shares the scale-free topology. The preferential attachment model was suggested as a generic network evolution model that yields…

Statistical Mechanics · Physics 2007-05-23 Eli Eisenberg , Erez Y. Levanon

In a social network, adoption probability refers to the probability that a social entity will adopt a product, service, or opinion in the foreseeable future. Such probabilities are central to fundamental issues in social network analysis,…

Social and Information Networks · Computer Science 2013-09-26 Xiao Fang , Paul J. Hu , Zhepeng Li , Weiyu Tsai

Many real-world networks exhibit degree-assortativity, with nodes of similar degree more likely to link to one another. Particularly in social networks, the contribution to the total assortativity varies with degree, featuring a distinctive…

Physics and Society · Physics 2016-03-08 I. Sendiña-Nadal , M. M. Danziger , Z. Wang , S. Havlin , S. Boccaletti

A version of ``preferential attachment'' random graphs, corresponding to linear ``weights'' with random ``edge additions,'' which generalizes some previously considered models, is studied. This graph model is embedded in a continuous-time…

Probability · Mathematics 2007-05-23 K. B. Athreya , A. P. Ghosh , S. Sethuraman

In real life, networks are dynamic in nature; they grow over time and often exhibit power-law degree sequences. To model the evolving structure of the internet, Barab\'{a}si and Albert introduced a simple dynamic model with a power-law…

Probability · Mathematics 2024-11-22 Rounak Ray

Networks describe a range of social, biological and technical phenomena. An important property of a network is its degree correlation or assortativity, describing how nodes in the network associate based on their number of connections.…

Social and Information Networks · Computer Science 2017-02-06 David N Fisher , Matthew J Silk , Daniel W Franks

Network science is a powerful framework allowing to model complex systems, it is capable to describe and take into account the intricate web of connections existing among the constituting basic element of the system. Recently scholars have…

Statistical Mechanics · Physics 2026-05-19 Diego Febbe , Duccio Fanelli , Timoteo Carletti