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The friendship paradox index is a network summary statistic used to quantify the friendship paradox, which describes the tendency for an individual's friends to have more friends than the individual. In this paper, we utilize Markov's…

Statistics Theory · Mathematics 2026-02-11 Mingao Yuan

In social networks, it is conventionally thought that two individuals with more overlapped friends tend to establish a new friendship, which could be stated as homophily breeding new connections. While the recent hypothesis of maximum…

Social and Information Networks · Computer Science 2016-02-17 Jichang Zhao , Xiao Liang , Ke Xu

The capacity to collect fingerprints of individuals in online media has revolutionized the way researchers explore human society. Social systems can be seen as a non-linear superposition of a multitude of complex social networks, where…

Physics and Society · Physics 2011-02-16 Michael Szell , Renaud Lambiotte , Stefan Thurner

In this paper, we explore the risks of friends in social networks caused by their friendship patterns, by using real life social network data and starting from a previously defined risk model. Particularly, we observe that risks of…

Social and Information Networks · Computer Science 2016-11-15 Cuneyt Gurcan Akcora , Barbara Carminati , Elena Ferrari

People's perceptions about the size of minority groups in social networks can be biased, often showing systematic over- or underestimation. These social perception biases are often attributed to biased cognitive or motivational processes.…

Physics and Society · Physics 2020-01-13 Eun Lee , Fariba Karimi , Claudia Wagner , Hang-Hyun Jo , Markus Strohmaier , Mirta Galesic

It is well known that differences in the average number of friends among social groups can cause inequality in the average wage and/or unemployment rate. However, the impact of social network structure on inequality is not evident. In this…

Theoretical Economics · Economics 2022-08-03 Yoshitaka Ogisu

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

The popularity of an opinion in one's direct circles is not necessarily a good indicator of its popularity in one's entire community. Network structures make local information about global properties of the group potentially inaccurate, and…

Social and Information Networks · Computer Science 2025-08-11 Maaike Los , Zoé Christoff , Davide Grossi

Recent work has demonstrated that many social networks, and indeed many networks of other types also, have broad distributions of vertex degree. Here we show that this has a substantial impact on the shape of ego-centered networks, i.e.,…

Statistical Mechanics · Physics 2007-05-23 M. E. J. Newman

Research on friendship networks in schools suggests that heterogeneity increases homophily preferences. We argue that this may be a misleading interpretation of the coefficients of the exponential random graph models (p*) that are used to…

Physics and Society · Physics 2009-01-20 Andreas Flache , Tobias Stark

We study online social networks in which relationships can be either positive (indicating relations such as friendship) or negative (indicating relations such as opposition or antagonism). Such a mix of positive and negative links arise in…

Physics and Society · Physics 2010-03-15 Jure Leskovec , Daniel Huttenlocher , Jon Kleinberg

This paper deals with randomized polling of a social network. In the case of forecasting the outcome of an election between two candidates A and B, classical intent polling asks randomly sampled individuals: who will you vote for?…

Social and Information Networks · Computer Science 2021-05-06 Buddhika Nettasinghe , Vikram Krishnamurthy

Understanding how reliable information emerges in interconnected populations is a challenge in social science, network theory and data analysis. Many existing approaches model treat truth as an external reference or a property of individual…

Physics and Society · Physics 2026-04-01 Arturo Tozzi

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…

Social and Information Networks · Computer Science 2015-01-20 Sidharth Gupta , Xiaoran Yan , Kristina Lerman

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

Dynamic models and statistical inference for the diffusion of information in social networks is an area which has witnessed remarkable progress in the last decade due to the proliferation of social networks. Modeling and inference of…

Social and Information Networks · Computer Science 2018-12-18 Vikram Krishnamurthy , Buddhika Nettasinghe

Observational data about human behavior is often heterogeneous, i.e., generated by subgroups within the population under study that vary in size and behavior. Heterogeneity predisposes analysis to Simpson's paradox, whereby the trends…

Social and Information Networks · Computer Science 2022-12-16 Kristina Lerman

The uneven distribution of wealth and individual economic capacities are among the main forces which shape modern societies and arguably bias the emerging social structures. However, the study of correlations between the social network and…

Social and Information Networks · Computer Science 2016-12-15 Yannick Leo , Eric Fleury , J. Ignacio Alvarez-Hamelin , Carlos Sarraute , Márton Karsai

Socio-diversity, the variety of human opinions, ideas, behaviors and styles, has profound implications for social systems. While it fuels innovation, productivity, and collective intelligence, it can also complicate communication and erode…

Physics and Society · Physics 2024-02-19 Andrea Musso , Dirk Helbing

We show that in an undirected graph under degree biased sampling the expected degree of vertices is equal to the expected degree of their neighbors. In consequence, under the biased sampling the social network result known as the friendship…

Physics and Society · Physics 2026-03-18 Wojciech Roga