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Network science is a powerful tool for analyzing complex systems in fields ranging from sociology to engineering to biology. This paper is focused on generative models of large-scale bipartite graphs, also known as two-way graphs or…

Social and Information Networks · Computer Science 2017-09-20 Sinan Aksoy , Tamara G. Kolda , Ali Pinar

The seceder model illustrates how the desire to be different than the average can lead to formation of groups in a population. We turn the original, agent based, seceder model into a model of network evolution. We find that the structural…

Disordered Systems and Neural Networks · Physics 2007-05-23 Andreas Gronlund , Petter Holme

We propose and solve exactly a model of a network that has both a tunable degree distribution and a tunable clustering coefficient. Among other things, our results indicate that increased clustering leads to a decrease in the size of the…

Statistical Mechanics · Physics 2009-11-10 M. E. J. Newman

Many real networks such as the World Wide Web, financial, biological, citation and social networks have a power-law degree distribution. Networks with this feature are also called scale-free. Several models for producing scale-free networks…

Social and Information Networks · Computer Science 2016-12-23 Akmal Artikov , Aleksandr Dorodnykh , Yana Kashinskaya , Egor Samosvat

Motivated by a recently introduced network growth mechanism that rely on the ranking of node prestige measures [S. Fortunato \emph{et al}., Phys. Rev. Lett. \textbf{96}, 218701 (2006)], a rank-based model for weighted network evolution is…

Disordered Systems and Neural Networks · Physics 2015-06-25 Liang Tian , Da-Ning Shi , Chen-Ping Zhu

Real-world growth processes and scalings have been broadly categorized into three growth regimes with distinctly different properties and driving forces. The first two are characterized by a positive and constant feedback between growth and…

Physics and Society · Physics 2025-03-20 Alain Govaert , André Teixeira , Emma Tegling

Many real networks in nature and society share two generic properties: they are scale-free and they display a high degree of clustering. We show that these two features are the consequence of a hierarchical organization, implying that small…

Statistical Mechanics · Physics 2009-11-07 Erzsebet Ravasz , Albert-Laszlo Barabasi

Social network structures play an important role in the lives of animals by affecting individual fitness and the spread of disease and information. Nevertheless, we still lack a good understanding of how these structures emerge from the…

Physics and Society · Physics 2026-02-16 Josefine Bohr Brask , Andreas Koher , Darren P. Croft , Sune Lehmann

Large-scale human social network structure is typically inferred from digital trace samples of online social media platforms or mobile communication data. Instead, here we investigate the social network structure of a complete population,…

Physics and Society · Physics 2022-11-29 Eszter Bokányi , Eelke M. Heemskerk , Frank W. Takes

The study of social networks --- where people are located, geographically, and how they might be connected to one another --- is a current hot topic of interest, because of its immediate relevance to important applications, from devising…

Physics and Society · Physics 2018-06-29 Shandeepa Wickramasinghe , Onyekachukwu Onyerikwu , Jie Sun , Daniel ben-Avraham

Many scientific collaboration networks exhibit clear community and small world structures. However, the studies on the underlying mechanisms for the formation and evolution of community and small world structures are still insufficient. The…

Physics and Society · Physics 2015-10-28 Peng Liu , Shuangling Luo , Haoxiang Xia

We introduce a model for the formation of social networks, which takes into account the homophily or the tendency of individuals to associate and bond with similar others, and the mechanisms of global and local attachment as well as tie…

Physics and Society · Physics 2019-03-28 Yohsuke Murase , Hang-Hyun Jo , János Török , János Kertész , Kimmo Kaski

Reputation-based cooperation on social networks offers a causal mechanism between graph properties and social trust. Recent papers on the `structural microfoundations` of the society used this insight to show how demographic processes, such…

Social and Information Networks · Computer Science 2022-03-02 Tamas David-Barrett

Citation networks can reveal many important information regarding the development of science and the relationship between different areas of knowledge. Thus, many studies have analyzed the topological properties of such networks.…

Real-world social and economic networks typically display a number of particular topological properties, such as a giant connected component, a broad degree distribution, the small-world property and the presence of communities of densely…

Disordered Systems and Neural Networks · Physics 2013-09-05 Diego Garlaschelli , Sebastian E. Ahnert , Thomas M. A. Fink , Guido Caldarelli

Large scale real-world network data such as social and information networks are ubiquitous. The study of such social and information networks seeks to find patterns and explain their emergence through tractable models. In most networks, and…

Social and Information Networks · Computer Science 2015-05-20 Myunghwan Kim , Jure Leskovec

Many real-world networks have properties of small-world networks, with clustered local neighborhoods and low average-shortest path (ASP). They may also show a scale-free degree distribution, which can be generated by growth and preferential…

Statistical Mechanics · Physics 2007-05-23 Marcus Kaiser , Claus C. Hilgetag

Complex networks of real-world systems are believed to be controlled by common phenomena, producing structures far from regular or random. Clustering, community structure and assortative mixing by degree are perhaps among most prominent…

Physics and Society · Physics 2012-02-16 Lovro Šubelj , Marko Bajec

Scale-free and non-computable characteristics of natural networks are found to result from the least-time dispersal of energy. To consider a network as a thermodynamic system is motivated since ultimately everything that exists can be…

General Physics · Physics 2011-06-22 Tuomo Hartonen , Arto Annila

This paper reviews, classifies and compares recent models for social networks that have mainly been published within the physics-oriented complex networks literature. The models fall into two categories: those in which the addition of new…

Physics and Society · Physics 2008-12-24 Riitta Toivonen , Lauri Kovanen , Mikko Kivelä , Jukka-Pekka Onnela , Jari Saramäki , Kimmo Kaski