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For the purpose of maximizing the spread of influence caused by a certain small number k of nodes in a social network, we are asked to find a k-subset of nodes (i.e., a seed set) with the best capacity to influence the nodes not in it. This…

Social and Information Networks · Computer Science 2022-06-07 Enqiang Zhu , Haosen Wang , Yu Zhang , Kai Zhang , Chanjuan Liu

This paper describes a new algorithm to solve the decision making problem in Influence Diagrams based on algorithms for credal networks. Decision nodes are associated to imprecise probability distributions and a reformulation is introduced…

Artificial Intelligence · Computer Science 2012-06-18 Cassio Polpo de Campos , Qiang Ji

The rise of Online Social Networks (OSNs) has caused an insurmountable amount of interest from advertisers and researchers seeking to monopolize on its features. Researchers aim to develop strategies for determining how information is…

Machine Learning · Statistics 2018-03-09 Trisha Lawrence

The influence maximization problem is trying to identify a set of K nodes by which the spread of influence, diseases, or information is maximized. The optimization of influence by finding such a set is an NP-hard problem and a key issue in…

Social and Information Networks · Computer Science 2021-05-21 Masoud Jalayer , Morvarid Azheian , Mehrdad Mohammad Ali Kermani

The operation of adding edges has been frequently used to the study of opinion dynamics in social networks for various purposes. In this paper, we consider the edge addition problem for the DeGroot model of opinion dynamics in a social…

Social and Information Networks · Computer Science 2021-06-14 Xiaotian Zhou , Zhongzhi Zhang

Modeling and shaping how information spreads through a network is a major research topic in network analysis. While initially the focus has been mostly on efficiency, recently fairness criteria have been taken into account in this setting.…

Social and Information Networks · Computer Science 2023-02-28 Ruben Becker , Gianlorenzo D'Angelo , Sajjad Ghobadi

As a widely observable social effect, influence diffusion refers to a process where innovations, trends, awareness, etc. spread across the network via the social impact among individuals. Motivated by such social effect, the concept of…

Social and Information Networks · Computer Science 2020-12-24 Liang Ma

We study a family online influence maximization problems where in a sequence of rounds $t=1,\ldots,T$, a decision maker selects one from a large number of agents with the goal of maximizing influence. Upon choosing an agent, the decision…

Machine Learning · Computer Science 2021-09-27 Gábor Lugosi , Gergely Neu , Julia Olkhovskaya

Given a complex high-dimensional distribution over $\{\pm 1\}^n$, what is the best way to increase the expected number of $+1$'s by controlling the values of only a small number of variables? Such a problem is known as influence…

Data Structures and Algorithms · Computer Science 2024-01-05 Zongchen Chen , Elchanan Mossel

Influence Maximization (IM) aims to maximize the number of people that become aware of a product by finding the `best' set of `seed' users to initiate the product advertisement. Unlike prior arts on static social networks containing fixed…

Social and Information Networks · Computer Science 2019-11-14 Xudong Wu , Luoyi Fu , Zixin Zhang , Jingfan Meng , Xinbing Wang , Guihai Chen

The spread of an epidemic is often modeled by an SIR random process on a social network graph. The MinINF problem for optimal social distancing involves minimizing the expected number of infections, when we are allowed to break at most $B$…

Data Structures and Algorithms · Computer Science 2022-02-18 Amy Babay , Michael Dinitz , Aravind Srinivasan , Leonidas Tsepenekas , Anil Vullikanti

Influence maximization (IM) is a crucial optimization task related to analyzing complex networks in the real world, such as social networks, disease propagation networks, and marketing networks. Publications to date about the IM problem…

Social and Information Networks · Computer Science 2024-05-16 Xilong Qu , Wenbin Pei , Yingchao Yang , Xirong Xu , Renquan Zhang , Qiang Zhang

Influence propagation in social networks is a central problem in modern social network analysis, with important societal applications in politics and advertising. A large body of work has focused on cascading models, viral marketing, and…

Social and Information Networks · Computer Science 2024-07-02 Zachary M. Boyd , Nicolas Fraiman , Jeremy L. Marzuola , Peter J. Mucha , Braxton Osting

We are proposing two greedy and a new linear programming based approximation algorithm for the total positive influence dominating set problem in weighted networks. Applications of this problem in weighted settings include finding: a…

Optimization and Control · Mathematics 2019-10-11 Danica Vukadinović Greetham , Nathaniel Charlton , Anush Poghosyan

Network optimization has generally been focused on solving network flow problems, but recently there have been investigations into optimizing network characteristics. Optimizing network connectivity to maximize the number of nodes within a…

Physics and Society · Physics 2020-08-03 Jeremy Auerbach , Hyun Kim

We consider the problem of maximizing influence in a social network. We focus on the case that the social network is a directed bipartite graph whose arcs join senders to receivers. We consider both the case of deterministic networks and…

Optimization and Control · Mathematics 2013-07-16 Lisa Elkin , Ting Kei Pong , Stephen Vavasis

In an election, we are given a set of voters, each having a preference list over a set of candidates, that are distributed on a social network. We consider a scenario where voters may change their preference lists as a consequence of the…

Social and Information Networks · Computer Science 2020-06-01 Mohammad Abouei Mehrizi , Gianlorenzo D'Angelo

The spread of rumors through social media and online social networks can not only disrupt the daily lives of citizens but also result in loss of life and property. A rumor spreads when individuals, who are unable decide the authenticity of…

Physics and Society · Physics 2014-04-29 Bhushan Kotnis , Joy Kuri

Probabilistic graphs are an abstraction that allow us to study randomized propagation in graphs. In a probabilistic graph, each edge is "active" with a certain probability, independent of the other edges. For two vertices $u,v$, a classic…

Data Structures and Algorithms · Computer Science 2025-07-14 Aditya Bhaskara , Alex Crane , Shweta Jain , Md Mumtahin Habib Ullah Mazumder , Blair D. Sullivan , Prasanth Yalamanchili

Public opinion governance in social networks is critical for public health campaigns, political elections, and commercial marketing. In this paper, we addresse the problem of maximizing overall opinion in social networks by strategically…

Social and Information Networks · Computer Science 2026-03-12 Gengyu Wang , Runze Zhang , Zhongzhi Zhang