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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

The spread of influence in networks is a topic of great importance in many application areas. For instance, one would like to maximise the coverage, limiting the budget for marketing campaign initialisation and use the potential of social…

Social and Information Networks · Computer Science 2020-09-11 Radosław Michalski , Jarosław Jankowski , Piotr Bródka

Given a network represented by a weighted directed graph G, we consider the problem of finding a bounded cost set of nodes S such that the influence spreading from S in G, within a given time bound, is as large as possible. The dynamic that…

Social and Information Networks · Computer Science 2015-02-23 Ferdinando Cicalese , Gennaro Cordasco , Luisa Gargano , Martin Milanic , Joseph Peters , Ugo Vaccaro

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

A widely studied process of influence diffusion in social networks posits that the dynamics of influence diffusion evolves as follows: Given a graph $G=(V,E)$, representing the network, initially \emph{only} the members of a given…

Data Structures and Algorithms · Computer Science 2015-12-22 Gennaro Cordasco , Luisa Gargano , Adele A. Rescigno , Ugo Vaccaro

Centrality measures, quantifying the importance of vertices or edges, play a fundamental role in network analysis. To date, triggered by some positive approximability results, a large body of work has been devoted to studying centrality…

Social and Information Networks · Computer Science 2024-02-13 Atsushi Miyauchi , Lorenzo Severini , Francesco Bonchi

Due to much closer to real application scenarios,the budgeted influence maximization (BIM) problem has attracted great attention among researchers. As a variant of the influence maximization (IM) problem, the BIM problem aims at mining…

Social and Information Networks · Computer Science 2022-03-23 Jianshe Wu , Junjun Gao , Hongde Zhu , Zulei Zhang

Influence maximization (IM) is the task of finding the most important nodes in order to maximize the spread of influence or information on a network. This task is typically studied on static or temporal networks where the complete topology…

Social and Information Networks · Computer Science 2023-09-13 Eric Yanchenko , Tsuyoshi Murata , Petter Holme

Online social networks have been one of the most effective platforms for marketing and advertising. Through "word of mouth" effects, information or product adoption could spread from some influential individuals to millions of users in…

Social and Information Networks · Computer Science 2023-05-17 Tiantian Chen , Bin Liu , Wenjing Liu , Qizhi Fang , Jing Yuan , Weili Wu

This survey presents the main results achieved for the influence maximization problem in social networks. This problem is well studied in the literature and, thanks to its recent applications, some of which currently deployed on the field,…

Social and Information Networks · Computer Science 2018-06-21 Giuseppe De Nittis , Nicola Gatti

Given a social network of users with selection cost, the \textsc{Budgeted Influence Maximization Problem} (\emph{BIM Problem} in short) asks for selecting a subset of the nodes (known as \emph{seed nodes}) within an allocated budget for…

Social and Information Networks · Computer Science 2021-04-15 Suman Banerjee

We study the approximability of the maximum size independent set (MIS) problem in bounded degree graphs. This is one of the most classic and widely studied NP-hard optimization problems. We focus on the well known minimum degree greedy…

Data Structures and Algorithms · Computer Science 2020-02-03 Piotr Krysta , Mathieu Mari , Nan Zhi

In many real-world scenarios, an individual's local social network carries significant influence over the opinions they form and subsequently propagate. In this paper, we propose a novel diffusion model -- the Pressure Threshold model (PT)…

Social and Information Networks · Computer Science 2026-04-03 Curt Stutsman , Eliot W. Robson , Abhishek K. Umrawal

Given an edge-weighted graph $G=(V,E)$ and a set $E_0\subset E$, the incremental network design problem with minimum spanning trees asks for a sequence of edges $e'_1,\ldots,e'_T\in E\setminus E_0$ minimizing $\sum_{t=1}^Tw(X_t)$ where…

Combinatorics · Mathematics 2017-02-09 Konrad Engel , Thomas Kalinowski , Martin W. P. Savelsbergh

A widely studied model of influence diffusion in social networks represents the network as a graph $G=(V,E)$ with an influence threshold $t(v)$ for each node. Initially the members of an initial set $S\subseteq V$ are influenced. During…

Data Structures and Algorithms · Computer Science 2018-07-19 Gennaro Cordasco , Luisa Gargano , Joseph Peters , Adele Anna Rescigno , Ugo Vaccaro

The influence maximization (IM) problem aims at finding a subset of seed nodes in a social network that maximize the spread of influence. In this study, we focus on a sub-class of IM problems, where whether the nodes are willing to be the…

Social and Information Networks · Computer Science 2021-06-15 Haipeng Chen , Wei Qiu , Han-Ching Ou , Bo An , Milind Tambe

In this paper, we address the important issue of uncertainty in the edge influence probability estimates for the well studied influence maximization problem --- the task of finding $k$ seed nodes in a social network to maximize the…

Social and Information Networks · Computer Science 2016-06-14 Wei Chen , Tian Lin , Zihan Tan , Mingfei Zhao , Xuren Zhou

This paper considers the optimal multi-agent persistent monitoring problem defined for a team of agents on a set of nodes (targets) interconnected according to a fixed network topology. The aim is to control this team so as to minimize a…

Optimization and Control · Mathematics 2020-12-14 Shirantha Welikala , Christos G. Cassandras

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

Influence maximization is the problem of finding a set of influential users in a social network such that the expected spread of influence under a certain propagation model is maximized. Much of the previous work has neglected the important…

Social and Information Networks · Computer Science 2016-11-18 Wei Lu , Laks V. S. Lakshmanan