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People are observed to assortatively connect on a set of traits. This phenomenon, termed assortative mixing or sometimes homophily, can be quantified through assortativity coefficient in social networks. Uncovering the exact causes of…

Physics and Society · Physics 2017-03-21 Sanja Šćepanović , Igor Mishkovski , Bruno Gonçalves , Nguyen Trung Hieu , Pan Hui

Percolation theory has been largely used in the study of structural properties of complex networks such as the robustness, with remarkable results. Nevertheless, a purely topological description is not sufficient for a correct…

Statistical Mechanics · Physics 2016-08-31 Luca Dall'Asta

Realistic large-scale networks display an heterogeneous distribution of connectivity weights, that might also randomly vary in time. We show that depending on the level of heterogeneity in the connectivity coefficients, different…

Mathematical Physics · Physics 2012-09-13 Geoffroy Hermann , Jonathan Touboul

The rich set of interactions between individuals in the society results in complex community structure, capturing highly connected circles of friends, families, or professional cliques in a social network. Thanks to frequent changes in the…

Methodology · Statistics 2007-12-12 Gergely Palla , Albert-Laszlo Barabasi , Tamas Vicsek

Social networks play an important role in analyzing the impact of individual-level interactions on societal or economic outcomes. We model interactive decision making for a community of individuals with different traits, represented by a…

Physics and Society · Physics 2022-08-09 Pengyu Liu , Jie Jian

Social media allow for an unprecedented amount of interaction between people online. A fundamental aspect of human social behavior, however, is the tendency of people to associate themselves with like-minded individuals, forming homogeneous…

Social and Information Networks · Computer Science 2014-04-01 Desislava Hristova , Mirco Musolesi , Cecilia Mascolo

One property of networks that has received comparatively little attention is hierarchy, i.e., the property of having vertices that cluster together in groups, which then join to form groups of groups, and so forth, up through all levels of…

Physics and Society · Physics 2008-04-12 Aaron Clauset , Cristopher Moore , M. E. J. Newman

We present a thorough inspection of the dynamical behavior of epidemic phenomena in populations with complex and heterogeneous connectivity patterns. We show that the growth of the epidemic prevalence is virtually instantaneous in all…

Disordered Systems and Neural Networks · Physics 2007-05-23 Marc Barthelemy , Alain Barrat , Romualdo Pastor-Satorras , Alessandro Vespignani

In this article we introduce the network histogram: a statistical summary of network interactions, to be used as a tool for exploratory data analysis. A network histogram is obtained by fitting a stochastic blockmodel to a single…

Methodology · Statistics 2014-10-16 Sofia C. Olhede , Patrick J. Wolfe

We introduce an agent-based acquaintance model in which social links are created by processes in which there is no explicit homophily. In spite of the homogeneous nature of the social interactions, highly-clustered social networks can…

Physics and Society · Physics 2014-11-26 Uttam Bhat , P. L. Krapivsky , S. Redner

Graph representation learning aim at integrating node contents with graph structure to learn nodes/graph representations. Nevertheless, it is found that many existing graph learning methods do not work well on data with high heterophily…

Machine Learning · Computer Science 2023-10-13 Jincheng Huang , Ping Li , Rui Huang , Chen Na , Acong Zhang

It the literature have been identified three social mechanisms explaining the similarity between people connected in the network of social relations homophily, confounding and social contagion. The article proposes a simple model for…

Social and Information Networks · Computer Science 2014-12-01 Blazej Zak , Anita Zbieg

Population behaviours, such as voting and vaccination, depend on social networks. Social networks can differ depending on behaviour type and are typically hidden. However, we do often have large-scale behavioural data, albeit only snapshots…

Social and Information Networks · Computer Science 2020-03-24 Antonia Godoy-Lorite , Nick S. Jones

Clustering is the propensity of nodes that share a common neighbour to be connected. It is ubiquitous in many networks but poses many modelling challenges. Clustering typically manifests itself by a higher than expected frequency of…

Dynamical Systems · Mathematics 2016-01-07 Martin Ritchie , Luc Berthouze , Istvan Z. Kiss

The degree heterogeneity and homophily are two typical features in network data. In this paper, we formulate a general model for undirected networks with these two features and present the moment estimation for inferring the degree and…

Methodology · Statistics 2019-10-08 Ting Yan

Random walks are fundamental tools for analyzing complex networked systems, including social networks, biological systems, and communication infrastructures. While classical random walks focus on pairwise interactions, many real-world…

Systems and Control · Electrical Eng. & Systems 2026-03-13 Anqi Dong , Anzhi Sheng , Xin Mao , Can Chen

In networks with a minority and a majority community, it is well-studied that minorities are under-represented at the top of the social hierarchy. However, researchers are less clear about the representation of minorities from the lower…

Social and Information Networks · Computer Science 2021-06-16 Yiguang Zhang , Jessy Xinyi Han , Ilica Mahajan , Priyanjana Bengani , Augustin Chaintreau

We study the effects of conformity, the tendency of humans to imitate locally common behaviors, in the evolution of cooperation when individuals occupy the vertices of a graph and engage in the one-shot Prisoner's Dilemma or the Snowdrift…

Physics and Society · Physics 2010-11-24 Jorge Pena , Henri Volken , Enea Pestelacci , Marco Tomassini

Community structure in networks is often a consequence of homophily, or assortative mixing, based on some attribute of the vertices. For example, researchers may be grouped into communities corresponding to their research topic. This is…

Physics and Society · Physics 2012-02-15 Steve Gregory

We propose an automated and unsupervised methodology for a novel summarization of group behavior based on content preference. We show that graph theoretical community evolution (based on similarity of user preference for content) is…

Social and Information Networks · Computer Science 2013-11-05 Roja Bandari , Hazhir Rahmandad , Vwani P. Roychowdhury
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