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The possibility to analyze everyday monetary transactions is limited by the scarcity of available data, as this kind of information is usually considered highly sensitive. Present econophysics models are usually employed on presumed random…

Physics and Society · Physics 2014-04-01 Dániel Kondor , Márton Pósfai , István Csabai , Gábor Vattay

A power law degree distribution is established for a graph evolution model based on the graph class of k-trees. This k-tree-based graph process can be viewed as an idealized model that captures some characteristics of the preferential…

Discrete Mathematics · Computer Science 2008-11-27 Yong Gao

We consider the specification of effects of numerical actor attributes in statistical models for directed social networks. A fundamental mechanism is homophily or assortativity, where actors have a higher likelihood to be tied with others…

Applications · Statistics 2018-09-12 Tom A. B. Snijders , Alessandro Lomi

Building on existing stochastic actor-oriented models for panel data, we employ a conditional logistic framework to explore growth mechanisms for tie creation in continuously-observed networks. This framework models the likelihood of tie…

Physics and Society · Physics 2011-08-19 Tore Opsahl , Bernie Hogan

Reciprocity characterizes the information exchange between users in a network, and some empirical studies have revealed that social networks have a high proportion of reciprocal edges. Classical directed preferential attachment (PA) models,…

Physics and Society · Physics 2021-08-10 Tiandong Wang , Sidney I. Resnick

Uncovering the hidden regularities and organizational principles of networks arising in physical systems ranging from the molecular level to the scale of large communication infrastructures is the key issue for the understanding of their…

Data Analysis, Statistics and Probability · Physics 2015-06-26 Vittoria Colizza , Alessandro Flammini , M. Angeles Serrano , Alessandro Vespignani

Social scientists have long sought to understand why certain people, items, or options become more popular than others. One seemingly intuitive theory is that inherent value drives popularity. An alternative theory claims that popularity is…

Social and Information Networks · Computer Science 2015-02-02 Peter Krafft , Julia Zheng , Erez Shmueli , Nicolás Della Penna , Josh Tenenbaum , Sandy Pentland

Based on the empirical analysis of the dependency network in 18 Java projects, we develop a novel model of network growth which considers both: an attachment mechanism and the addition of new nodes with a heterogeneous distribution of their…

Physics and Society · Physics 2015-05-19 Claudio J. Tessone , Markus M. Geipel , F. Schweitzer

Herbert Simon's classic rich-get-richer model is one of the simplest empirically supported mechanisms capable of generating heavy-tail size distributions for complex systems. Simon argued analytically that a population of flavored elements…

Growing network models with preferential attachment dependent on both age and degree are proposed to simulate certain features of citation network noted in \cite{red2}. In this directed network, a new node gets attached to an older node…

Physics and Society · Physics 2015-06-26 Kamalika Basu Hajra , Parongama Sen

We propose a wide class of preferential attachment models of random graphs, generalizing previous approaches. Graphs described by these models obey the power-law degree distribution, with the exponent that can be controlled in the models.…

Combinatorics · Mathematics 2015-05-20 Liudmila Ostroumova , Alexander Ryabchenko , Egor Samosvat

Degree distribution of nodes, especially a power law degree distribution, has been regarded as one of the most significant structural characteristics of social and information networks. Node degree, however, only discloses the first-order…

Social and Information Networks · Computer Science 2010-09-23 Ajay Sridharan , Yong Gao , Kui Wu , James Nastos

Homophily describes a fundamental tie-formation mechanism in social networks in which connections between similar nodes occur at a higher rate than among dissimilar ones. In this article, we present an extension of the Weighted Social…

Acceptance of an innovation can occur through mutliple exposures to individuals who have already accepted it. Presented here is a model to trace the evolution of an innovation in a social network with a preference $\lambda$, amidst…

Physics and Society · Physics 2014-08-22 Varsha S. Kulkarni

Social-aware recommendation approaches have been recognized as an effective way to solve the data sparsity issue of traditional recommender systems. The assumption behind is that the knowledge in social user-user connections can be shared…

Information Retrieval · Computer Science 2021-07-13 Haodong Chang , Yabo Chu

As modern social networks allow for faster and broader interactions with friends and acquaintances, online referral programs that promote sales through existing users are becoming increasingly popular. Because it is all too common that…

Social and Information Networks · Computer Science 2024-06-04 Yiguang Zhang , Augustin Chaintreau

An increasing number of scholars are using longitudinal social network data to try to obtain estimates of peer or social influence effects. These data may provide additional statistical leverage, but they can introduce new inferential…

Applications · Statistics 2011-06-20 Hans Noel , Brendan Nyhan

Research collaborations provide the foundation for scientific advances, but we have only recently begun to understand how they form and grow on a global scale. Here we analyze a model of the growth of research collaboration networks to…

Physics and Society · Physics 2021-01-28 Keith A. Burghardt , Allon G. Percus , Kristina Lerman

In social recommender systems, it is crucial that the recommendation models provide equitable visibility for different demographic groups, such as gender or race. Most existing research has addressed this problem by only studying individual…

Social and Information Networks · Computer Science 2026-02-26 Meng Cao , Hussain Hussain , Sandipan Sikdar , Denis Helic , Markus Strohmaier , Roman Kern

It is often observed that agents tend to imitate the behavior of their neighbors in a social network. This imitating behavior might lead to the strategic decision of adopting a public behavior that differs from what the agent believes is…

Computer Science and Game Theory · Computer Science 2015-10-02 Vincenzo Auletta , Ioannis Caragiannis , Diodato Ferraioli , Clemente Galdi , Giuseppe Persiano