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The topology of social networks can be understood as being inherently dynamic, with edges having a distinct position in time. Most characterizations of dynamic networks discretize time by converting temporal information into a sequence of…

Data Analysis, Statistics and Probability · Physics 2012-12-03 Aaron Clauset , Nathan Eagle

We introduce a new threshold model of social networks, in which the nodes influenced by their neighbours can adopt one out of several alternatives. We characterize the graphs for which adoption of a product by the whole network is possible…

Social and Information Networks · Computer Science 2015-03-19 Krzysztof R. Apt , Evangelos Markakis

We introduce a simple network model that is inspired by social information networks such as twitter. Agents are nodes, connecting to another agent by building a directed edge has a cost, and reaching other agents via short directed paths…

Computer Science and Game Theory · Computer Science 2017-05-10 L. Elisa Celis , Aida S. Mousavifar

Online social networks such as Twitter and Facebook have gained tremendous popularity for information exchange. The availability of unprecedented amounts of digital data has accelerated research on information diffusion in online social…

Social and Information Networks · Computer Science 2013-10-03 Haiyan Wang , Feng Wang , Kuai Xu

We consider a preferential attachment model that incorporates an anomaly. Our goal is to understand the evolution of the network before and after the occurrence of the anomaly by studying the influence of the anomaly on the structural…

Physics and Society · Physics 2025-05-07 Qiu Liang , Remco van der Hofstad , Nelly Litvak

Complex contagion models have been developed to understand a wide range of social phenomena such as adoption of cultural fads, the diffusion of belief, norms, and innovations in social networks, and the rise of collective action to join a…

Physics and Society · Physics 2018-07-04 Yong Zhuang , Osman Yağan

Twitter, a microblogging service, has evolved into a powerful communication platform with millions of active users who generate immense volume of microposts on a daily basis. To facilitate effective categorization and easy search, users…

Social and Information Networks · Computer Science 2017-05-31 Hamidreza Alvari

In a range of citation networks, the in-degree distributions boast time-periodicity---the distributions of citations per article published each year present similar scale-free tails. This phenomenon can be regarded as a consequence of the…

Physics and Society · Physics 2016-10-12 Qi Liu , Zheng Xie , Zonglin Xie , Enming Dong , Jianping Li

Most previous analysis of Twitter user behavior is focused on individual information cascades and the social followers graph. We instead study aggregate user behavior and the retweet graph with a focus on quantitative descriptions. We find…

Social and Information Networks · Computer Science 2015-02-17 David R. Bild , Yue Liu , Robert P. Dick , Z. Morley Mao , Dan S. Wallach

Social networks have become an inseparable part of human life and processing them in an efficient manner is a top priority in the study of networks. These networks are highly dynamic and they are growing incessantly. Inspired by the concept…

Social and Information Networks · Computer Science 2020-12-04 Sara Ahmadian , Shahrzad Haddadan

This doctoral work focuses on three main problems related to social networks: (1) Orchestrating Network Formation: We consider the problem of orchestrating formation of a social network having a certain given topology that may be desirable…

Social and Information Networks · Computer Science 2017-06-29 Swapnil Dhamal

Exponential random graphs are important to model the structure of real-world complex networks. Here we solve the two-star model with degree-degree correlations in the sparse regime. The model constraints the average correlation between the…

Statistical Mechanics · Physics 2021-08-04 Maíra Bolfe , Fernando L. Metz , Edgar Guzmán-González , Isaac Pérez Castillo

In studying network growth, the conventional approach is to devise a growth mechanism, quantify the evolution of a statistic or distribution (such as the degree distribution), and then solve the equations in the steady state (the…

Physics and Society · Physics 2014-11-05 Babak Fotouhi

In this paper we study how the network of agents adopting a particular technology relates to the structure of the underlying network over which the technology adoption spreads. We develop a model and show that the network of agents adopting…

Social and Information Networks · Computer Science 2013-04-09 Grant Schoenebeck

Statistical inference using social sensors is an area that has witnessed remarkable progress and is relevant in applications including localizing events for targeted advertising, marketing, localization of natural disasters and predicting…

Social and Information Networks · Computer Science 2018-08-16 Vikram Krishnamurthy , William Hoiles

Different types of interactions coexist and coevolve to shape the structure and function of a multiplex network. We propose here a general class of growth models in which the various layers of a multiplex network coevolve through a set of…

Physics and Society · Physics 2014-10-15 Vincenzo Nicosia , Ginestra Bianconi , Vito Latora , Marc Barthelemy

In many societies there is an elite, a relatively small group of powerful individuals that is well-connected and highly influential. Since the ancient days of Julius Caesar's senate of Rome to the recent days of celebrities on Twitter, the…

Social and Information Networks · Computer Science 2012-11-28 Chen Avin , Zvi Lotker , Yvonne-Anne Pignolet , Itzik Turkel

In this paper, we consider the problem of maximizing the spread of influence through a social network. Given a graph with a threshold value~$thr(v)$ attached to each vertex~$v$, the spread of influence is modeled as follows: A vertex~$v$…

Data Structures and Algorithms · Computer Science 2014-08-19 Cristina Bazgan , Morgan Chopin , André Nichterlein , Florian Sikora

We introduce a general stochastic model for the spread of rumours, and derive mean-field equations that describe the dynamics of the model on complex social networks (in particular those mediated by the Internet). We use analytical and…

Physics and Society · Physics 2009-11-13 Maziar Nekovee , Y. Moreno , G. Bianconi , M. Marsili

We characterize the tail behavior of the distribution of the PageRank of a uniformly chosen vertex in a directed preferential attachment graph and show that it decays as a power law with an explicit exponent that is described in terms of…

Probability · Mathematics 2021-10-20 Sayan Banerjee , Mariana Olvera-Cravioto