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Given a network represented by a graph $G=(V,E)$, we consider a dynamical process of influence diffusion in $G$ that evolves as follows: Initially only the nodes of a given $S\subseteq V$ are influenced; subsequently, at each round, the set…

Data Structures and Algorithms · Computer Science 2016-10-13 Gennaro Cordasco , Luisa Gargano , Marco Mecchia , Adele A. Rescigno , Ugo Vaccaro

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

We consider the problem of selecting a minimum size subset of nodes in a network, that allows to activate all the nodes of the network. We present a fast and simple algorithm that, in real-life networks, produces solutions that outperform…

Data Structures and Algorithms · Computer Science 2016-10-18 Gennaro Cordasco , Luisa Gargano , Adele Anna Rescigno

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

Diffusion and propagation of information, influence and diseases take place over increasingly larger networks. We observe when a node copies information, makes a decision or becomes infected but networks are often hidden or unobserved.…

Social and Information Networks · Computer Science 2012-05-09 Manuel Gomez Rodriguez , Bernhard Schölkopf

We introduce a new threshold model of social networks, in which the nodes influenced by their neighbours can adopt one out of several alternatives. We characterize the graphs for which adoption of a product by the whole network is possible…

Social and Information Networks · Computer Science 2015-03-19 Krzysztof R. Apt , Evangelos Markakis

Time plays an essential role in the diffusion of information, influence and disease over networks. In many cases we only observe when a node copies information, makes a decision or becomes infected -- but the connectivity, transmission…

Social and Information Networks · Computer Science 2011-05-05 Manuel Gomez Rodriguez , David Balduzzi , Bernhard Schölkopf

The problem of finding the optimal set of source nodes in a diffusion network that maximizes the spread of information, influence, and diseases in a limited amount of time depends dramatically on the underlying temporal dynamics of the…

Social and Information Networks · Computer Science 2012-05-09 Manuel Gomez Rodriguez , Bernhard Schölkopf

Identifying the most influential nodes in information networks has been the focus of many research studies. This problem has crucial applications in various contexts, such as controlling the propagation of viruses or rumours in real-world…

Social and Information Networks · Computer Science 2022-08-30 Ahmad Asgharian Rezaei , Justin Munoz , Mahdi Jalili , Hamid Khayyam

Diffusion is a fundamental graph process, underpinning such phenomena as epidemic disease contagion and the spread of innovation by word-of-mouth. We address the algorithmic problem of finding a set of k initial seed nodes in a network so…

Data Structures and Algorithms · Computer Science 2016-06-23 Christian Borgs , Michael Brautbar , Jennifer Chayes , Brendan Lucier

Cascade processes are responsible for many important phenomena in natural and social sciences. Simple models of irreversible dynamics on graphs, in which nodes activate depending on the state of their neighbors, have been successfully…

Disordered Systems and Neural Networks · Physics 2013-09-16 Fabrizio Altarelli , Alfredo Braunstein , Luca Dall'Asta , Riccardo Zecchina

Network-aware cascade size prediction aims to predict the final reposted number of user-generated information via modeling the propagation process in social networks. Estimating the user's reposting probability by social influence, namely…

Social and Information Networks · Computer Science 2022-04-19 Likang Wu , Hao Wang , Enhong Chen , Zhi Li , Hongke Zhao , Jianhui Ma

The challenges of graph stream algorithms are twofold. First, each edge needs to be processed only once, and second, it needs to work on highly constrained memory. Diffusion degree is a measure of node centrality that can be calculated (for…

Data Structures and Algorithms · Computer Science 2024-02-01 Vinit Ramesh Gore , Suman Kundu , Anggy Eka Pratiwi

Social networks, due to their popularity, have been studied extensively these years. A rich body of these studies is related to influence maximization, which aims to select a set of seed nodes for maximizing the expected number of active…

Social and Information Networks · Computer Science 2015-10-14 Zhefeng Wang , Enhong Chen , Qi Liu , Yu Yang , Yong Ge , Biao Chang

We study a majority based preference diffusion model in which the members of a social network update their preferences based on those of their connections. Consider an undirected graph where each node has a strict linear order over a set of…

Social and Information Networks · Computer Science 2023-12-27 Ahad N. Zehmakan

We study the task of selecting $k$ nodes, in a social network of size $n$, to seed a diffusion with maximum expected spread size, under the independent cascade model with cascade probability $p$. Most of the previous work on this problem…

Social and Information Networks · Computer Science 2022-05-24 Dean Eckles , Hossein Esfandiari , Elchanan Mossel , M. Amin Rahimian

Network centrality plays an important role in many applications. Central nodes in social networks can be influential, driving opinions and spreading news or rumors.In hyperlinked environments, such as the Web, where users navigate via…

Social and Information Networks · Computer Science 2017-10-11 Sourav Medya , Arlei Silva , Ambuj Singh , Prithwish Basu , Ananthram Swami

In this paper we elaborate upon a measure of node influence in social networks, which was recently proposed by Vassio et al., IEEE Trans. Control Netw. Syst., 2014. This measure quantifies the ability of the node to sway the average opinion…

Optimization and Control · Mathematics 2016-11-10 Wilbert Samuel Rossi , Paolo Frasca

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

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
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