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The power dominating set (PDS) problem is the following extension of the well-known dominating set problem: find a smallest-size set of nodes $S$ that power dominates all the nodes, where a node $v$ is power dominated if (1) $v$ is in $S$…

Computational Complexity · Computer Science 2007-10-12 Ashkan Aazami , Michael D. Stilp

This paper studies social system inference from a single trajectory of public evolving opinions, wherein observation noise leads to the statistical dependence of samples on time and coordinates. We first propose a cyber-social system that…

Social and Information Networks · Computer Science 2021-06-30 Yanbing Mao , Naira Hovakimyan , Tarek Abdelzaher , Evangelos Theodorou

A social network (SN) is a social structure consisting of a group representing the interaction between them. SNs have recently been widely used and, subsequently, have become suitable and popular platforms for product promotion and…

Social and Information Networks · Computer Science 2022-09-13 Saeid Ghafouri , Seyed Hossein Khasteh , Seyed Omid Azarkasb

An opinion illusion refers to a phenomenon in social networks where agents may witness distributions of opinions among their neighbours that do not accurately reflect the true distribution of opinions in the population as a whole. A…

Computational Complexity · Computer Science 2025-02-21 Foivos Fioravantes , Abhiruk Lahiri , Antonio Lauerbach , Lluís Sabater , Marie Diana Sieper , Samuel Wolf

Given a graph, the minimum dominating set (MinDS) problem is to identify a smallest set $D$ of vertices such that every vertex not in $D$ is adjacent to at least one vertex in $D$. The MinDS problem is a classic $\mathcal{NP}$-hard problem…

Social and Information Networks · Computer Science 2023-08-01 Enqiang Zhu , Yu Zhang , Shengzhi Wang , Darren Strash , Chanjuan Liu

In this paper, we propose a distributed algorithm for the minimum dominating set problem. For some especial networks, we prove theoretically that the achieved answer by our proposed algorithm is a constant approximation factor of the exact…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-05 Sharareh Alipour , Ehsan Futuhi , Shayan Karimi

We study the French-DeGroot opinion dynamics in a social network with two polarizing parties. We consider a network in which the leaders of one party are given, and we pose the problem of selecting the leader set of the opposing party so as…

Social and Information Networks · Computer Science 2020-05-19 Yuhao Yi , Timothy Castiglia , Stacy Patterson

Nowadays, social media plays an important role in many fields, such as the promotion of measures against major infectious diseases, merchandising, etc. In social media, some people are known as opinion leaders due to their strong ability to…

Social and Information Networks · Computer Science 2023-05-16 Yunming Hui , Luuk Buijsman , Mel Chekol , Shihan Wang

We propose a new Ising-PageRank model of opinion formation on a social network by introducing an Ising- or spin-like structure of the corresponding Google matrix. Each elector or node of the network has two components corresponding to a red…

Physics and Society · Physics 2019-04-18 Klaus M. Frahm , Dima L. Shepelyansky

Interpersonal influence estimation from empirical data is a central challenge in the study of social structures and dynamics. Opinion dynamics theory is a young interdisciplinary science that studies opinion formation in social networks and…

Systems and Control · Electrical Eng. & Systems 2020-07-27 Chiara Ravazzi , Fabrizio Dabbene , Constantino Lagoa , Anton V. Proskurnikov

Online social networks are often subject to influence campaigns by malicious actors through the use of automated accounts known as bots. We consider the problem of detecting bots in online social networks and assessing their impact on the…

Social and Information Networks · Computer Science 2020-12-17 Nicolas Guenon des Mesnards , David Scott Hunter , Zakaria el Hjouji , Tauhid Zaman

The focus of this paper is modeling what we call a Social Radar, i.e. a method to estimate the relative influence between social agents, by sampling their opinions and as they evolve, after injecting in the network stubborn agents. The…

Social and Information Networks · Computer Science 2016-11-17 Hoi-To Wai , Anna Scaglione , Amir Leshem

We consider the problem of identifying the topology of a weighted, undirected network $\mathcal G$ from observing snapshots of multiple independent consensus dynamics. Specifically, we observe the opinion profiles of a group of agents for a…

Social and Information Networks · Computer Science 2019-02-12 Santiago Segarra , Michael T. Schaub , Ali Jadbabaie

The understanding of how users in a network update their opinions based on their neighbours opinions has attracted a great deal of interest in the field of network science, and a growing body of literature recognises the significance of…

Social and Information Networks · Computer Science 2022-08-30 Zahra Ghorbani , Seyed Hossein Khasteh , Saeid Ghafouri

A minimum dominating set for a digraph (directed graph) is a smallest set of vertices such that each vertex either belongs to this set or has at least one parent vertex in this set. We solve this hard combinatorial optimization problem…

Physics and Society · Physics 2016-02-17 Yusupjan Habibulla , Jin-Hua Zhao , Hai-Jun Zhou

A topic propagating in a social network reaches its tipping point if the number of users discussing it in the network exceeds a critical threshold such that a wide cascade on the topic is likely to occur. In this paper, we consider the task…

Social and Information Networks · Computer Science 2014-06-19 Peng Zhang , Wei Chen , Xiaoming Sun , Yajun Wang , Jialin Zhang

In many applications, it becomes necessary for a set of distributed network nodes to agree on a common value or opinion as quickly as possible and with minimal communication overhead. The classical 2-choices rule is a well-known distributed…

Probability · Mathematics 2026-01-14 Luke Meredith , Arpan Mukhopadhyay

In this paper, we tackle a challenging problem inherent in a series of applications: tracking the influential nodes in dynamic networks. Specifically, we model a dynamic network as a stream of edge weight updates. This general model…

Social and Information Networks · Computer Science 2017-08-25 Yu Yang , Zhefeng Wang , Jian Pei , Enhong Chen

Characterizing large online social networks (OSNs) through node querying is a challenging task. OSNs often impose severe constraints on the query rate, hence limiting the sample size to a small fraction of the total network. Various ad-hoc…

Social and Information Networks · Computer Science 2013-11-14 Pinghui Wang , Bruno Ribeiro , Junzhou Zhao , John C. S. Lui , Don Towsley , Xiaohong Guan

The integrity and functionality of many real-world complex systems hinge on a small set of pivotal nodes, or influencers. In different contexts, these influencers are defined as either structurally important nodes that maintain the…

Physics and Society · Physics 2019-08-30 Sen Pei , Jiannan Wang , Flaviano Morone , Hernán A Makse