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Accurately analyzing graph properties of social networks is a challenging task because of access limitations to the graph data. To address this challenge, several algorithms to obtain unbiased estimates of properties from few samples via a…

Social and Information Networks · Computer Science 2020-07-14 Kazuki Nakajima , Kazuyuki Shudo

In this paper, we present a framework to compare the differences in the occupation probabilities of two random walk processes, which can be generated by modifications of the network or the transition probabilities between the nodes of the…

Statistical Mechanics · Physics 2023-03-29 Alejandro P. Riascos , Francisco Hernández Padilla

Many real-world networks display a community structure. We study two random graph models that create a network with similar community structure as a given network. One model preserves the exact community structure of the original network,…

Physics and Society · Physics 2016-11-21 Clara Stegehuis , Remco van der Hofstad , Johan S. H. van Leeuwaarden

In many complex systems, for the activity f(i) of the constituents or nodes i, a power-law relationship was discovered between the standard deviation sigma(i) and the average strength of the activity: sigma(i) ~ <f(i)>^alpha; universal…

Statistical Mechanics · Physics 2007-05-23 Zoltan Eisler , Janos Kertesz

The spread of information has become faster and wider than ever with the advent of social network platforms. The question raised in this study is whether information dissemination in social networks is random or follows a discernible…

Social and Information Networks · Computer Science 2026-03-30 Rozhin Mohammadikian , Parsa Bigdeli , Behrouz Askari , G. Reza Jafari

Aggression in online social networks has been studied mostly from the perspective of machine learning which detects such behavior in a static context. However, the way aggression diffuses in the network has received little attention as it…

Social and Information Networks · Computer Science 2021-08-31 Marinos Poiitis , Athena Vakali , Nicolas Kourtellis

With the increasing use of online social networks as a source of news and information, the propensity for a rumor to disseminate widely and quickly poses a great concern, especially in disaster situations where users do not have enough time…

Social and Information Networks · Computer Science 2020-02-27 Abiola Osho , Caden Waters , George Amariucai

We restrict the propagation of misinformation in a social-media-like environment while preserving the spread of correct information. We model the environment as a random network of users in which each news item propagates in the network in…

Social and Information Networks · Computer Science 2022-11-10 Yigit E. Bayiz , Ufuk Topcu

Random walkers characterized by random positions and random velocities lead to normal diffusion. A random walk was originally proposed by Einstein to model Brownian motion and to demonstrate the existence of atoms and molecules. Such a…

Statistical Mechanics · Physics 2018-08-01 Daniel Escaff , Raul Toral , Christian Van den Broeck , Katja Lindenberg

Adaptive networks rely on in-network and collaborative processing among distributed agents to deliver enhanced performance in estimation and inference tasks. Information is exchanged among the nodes, usually over noisy links. The…

Optimization and Control · Mathematics 2015-06-03 Xiaochuan Zhao , Sheng-Yuan Tu , Ali H. Sayed

Social and information networks may become polarized, leading to echo chambers and political gridlock. Accurately measuring this phenomenon is a critical challenge. Existing measures often conflate genuine structural division with random…

Social and Information Networks · Computer Science 2025-12-04 Giulia Preti , Matteo Riondato , Aristides Gionis , Gianmarco De Francisci Morales

As online social networks continue to be commonly used for the dissemination of information to the public, understanding the phenomena that govern information diffusion is crucial for many security and safety-related applications, such as…

Social and Information Networks · Computer Science 2020-03-05 Abiola Osho , Colin Goodman , George Amariucai

We propose a random walks based model to generate complex networks. Many authors studied and developed different methods and tools to analyze complex networks by random walk processes. Just to cite a few, random walks have been adopted to…

Physics and Society · Physics 2015-06-19 Marco Alberto Javarone

We propose a general class of co-evolving tree network models driven by local exploration where new vertices attach to the current network via randomly sampling a vertex and then exploring the graph for a random number of steps in the…

Probability · Mathematics 2024-03-05 Sayan Banerjee , Shankar Bhamidi , Xiangying Huang

Models of disease spreading are critical for predicting infection growth in a population and evaluating public health policies. However, standard models typically represent the dynamics of disease transmission between individuals using…

Physics and Society · Physics 2022-06-07 Christopher A. Browne , Daniel B. Amchin , Joanna Schneider , Sujit S. Datta

With an increasing outreach of digital platforms in our lives, researchers have taken a keen interest to study different facets of social interactions that seem to be evolving rapidly. Analysing the spread of information (aka diffusion) has…

Social and Information Networks · Computer Science 2022-08-23 Dhruv Sahnan , Vasu Goel , Sarah Masud , Chhavi Jain , Vikram Goyal , Tanmoy Chakraborty

Describing the dynamics of information dissemination within social networks poses a formidable challenge. Despite multiple endeavors aimed at addressing this issue, only a limited number of studies have effectively replicated and forecasted…

Social and Information Networks · Computer Science 2024-03-21 Xinyu Li , Jinyang Huang , Xiang Zhang , Peng Zhao , Meng Wang , Guohang Zhuang , Huan Yan , Xiao Sun , Meng Wang

Searching for influential spreaders in complex networks is an issue of great significance for applications across various domains, ranging from the epidemic control, innovation diffusion, viral marketing, social movement to idea…

Physics and Society · Physics 2013-12-24 Sen Pei , Hernan A. Makse

Strongly non-Markovian random walks offer a promising modeling framework for understanding animal and human mobility, yet, few analytical results are available for these processes. Here we solve exactly a model with long range memory where…

Statistical Mechanics · Physics 2015-06-19 Denis Boyer , Citlali Solis-Salas

Influencing (and being influenced by) others through social networks is fundamental to all human societies. Whether this happens through the diffusion of rumors, opinions, or viruses, identifying the diffusion source (i.e., the person that…

Social and Information Networks · Computer Science 2022-09-05 Marcin Waniek , Manuel Cebrian , Petter Holme , Talal Rahwan
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