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We present simulation results for the contact process on regular, cubic networks that are composed of a one-dimensional lattice and a set of long edges with unbounded length. Networks with different sets of long edges are considered, that…

Statistical Mechanics · Physics 2015-05-13 R. Juhász , G. Ódor

Widespread interest in the diffusion of information through social networks has produced a large number of Social Dynamics models. A majority of them use theoretical hypothesis to explain their diffusion mechanisms while the few empirically…

Physics and Society · Physics 2011-05-18 José Luis Iribarren , Esteban Moro

Modeling complex networks has been the focus of much research for over a decade. Preferential attachment (PA) is considered a common explanation to the self organization of evolving networks, suggesting that new nodes prefer to attach to…

Physics and Society · Physics 2013-06-05 Osnat Mokryn , Marcel Blattner , Yuval Shavitt

Influence maximization is the problem of selecting a set of influential users in the social network. Those users could adopt the product and trigger a large cascade of adoptions through the " word of mouth " effect. In this paper, we…

Social and Information Networks · Computer Science 2017-01-23 Siwar Jendoubi , Arnaud Martin , Ludovic Liétard , Ben Hend , Ben Boutheina

With the rapid growth of online social media, people become increasingly overwhelmed by the volume and the content of the information present in the environment. The threshold model is currently one of the most common methods to capture the…

Social and Information Networks · Computer Science 2020-03-27 Ece C. Mutlu , Ivan Garibay

In this paper, we introduce the SDIR (Susceptible-Delayable-Infected-Recovered) model, an extension of the classical SIR epidemic framework, to provide a more explicit characterization of user behavior in online social networks. The newly…

Social and Information Networks · Computer Science 2025-12-04 Tran Van Khanh , Do Xuan Cho , Hoang Phi Dung

We study the limiting degree distribution of the vertex splitting model introduced in \cite{DDJS:2009}. This is a model of randomly growing ordered trees, where in each time step the tree is separated into two components by splitting a…

Probability · Mathematics 2016-12-01 Sigurdur Örn Stefánsson , Erik Thörnblad

Mechanistic models can provide an intuitive and interpretable explanation of network growth by specifying a set of generative rules. These rules can be defined by domain knowledge about real-world mechanisms governing network growth or may…

Social and Information Networks · Computer Science 2025-12-04 Maxwell H Wang , Till Hoffmann , Jukka-Pekka Onnela

Detecting strong ties among users in social and information networks is a fundamental operation that can improve performance on a multitude of personalization and ranking tasks. Strong-tie edges are often readily obtained from the social…

Social and Information Networks · Computer Science 2017-03-28 Rahmtin Rotabi , Krishna Kamath , Jon Kleinberg , Aneesh Sharma

Bio-inspired paradigms are proving to be useful in analyzing propagation and dissemination of information in networks. In this paper we explore the use of multi-type branching processes to analyse viral properties of content in a social…

Probability · Mathematics 2020-01-01 Ranbir Dhounchak , Veeraruna Kavitha , Eitan Altman

In this paper, we propose a new graph sampling method for online social networks that achieves the following. First, a sample graph should reflect the ratio between the number of nodes and the number of edges of the original graph. Second,…

Social and Information Networks · Computer Science 2011-09-07 Seok-Ho Yoon , Ki-Nam Kim , Sang-Wook Kim , Sunju Park

Influence maximization is the task of selecting a small number of seed nodes in a social network to maximize the influence spread from these seeds. It has been widely investigated in the past two decades. In the canonical setting, the…

Social and Information Networks · Computer Science 2022-02-21 Zhijie Zhang , Wei Chen , Xiaoming Sun , Jialin Zhang

This paper describes the analysis of quantitative characteristics of frequent sets and association rules in the posts of Twitter microblogs related to different event discussions. For the analysis, we used a theory of frequent sets,…

Social and Information Networks · Computer Science 2013-10-15 Bohdan Pavlyshenko

Models of meme propagation on social networks, in which memes compete for limited user attention, can successfully reproduce the heavy-tailed popularity distributions observed in online settings. While system-wide popularity distributions…

Physics and Society · Physics 2022-06-24 Kleber A. Oliveira , Samuel Unicomb , James P. Gleeson

Many years after online social networks exceeded our collective attention, social influence is still built on attention capital. Quality is not a prerequisite for viral spreading, yet large diffusion cascades remain the hallmark of a social…

Social and Information Networks · Computer Science 2020-06-02 Damian Konrad Kowalczyk , Lars Kai Hansen

We consider the contact process on a random graph with fixed degree distribution given by a power law. We follow the work of Chatterjee and Durrett, who showed that for arbitrarily small infection parameter $\lambda$, the survival time of…

Probability · Mathematics 2012-12-10 Thomas Mountford , Daniel Valesin , Qiang Yao

We study the evolution of opinions on a directed network with community structure. Individuals update their opinions synchronously based on a weighted average of their neighbors' opinions, their own previous opinions, and external media…

Probability · Mathematics 2024-01-17 Panagiotis Andreou , Mariana Olvera-Cravioto

We study binary state contagion dynamics on a social network where nodes act in response to the average state of their neighborhood. We model the competing tendencies of imitation and non-conformity by incorporating an off-threshold into…

Physics and Society · Physics 2015-03-13 Kameron Decker Harris

Network embedding, which aims to learn low-dimensional representations of nodes, has been used for various graph related tasks including visualization, link prediction and node classification. Most existing embedding methods rely solely on…

Social and Information Networks · Computer Science 2019-08-22 Palash Goyal , Homa Hosseinmardi , Emilio Ferrara , Aram Galstyan

The rate at which nodes in evolving social networks acquire links (friends, citations) shows complex temporal dynamics. Preferential attachment and link copying models, while enabling elegant analysis, only capture rich-gets-richer effects,…

Social and Information Networks · Computer Science 2017-09-07 Mayank Singh , Rajdeep Sarkar , Pawan Goyal , Animesh Mukherjee , Soumen Chakrabarti