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This paper proposes a new measure of node centrality in social networks, the Harmonic Influence Centrality, which emerges naturally in the study of social influence over networks. Using an intuitive analogy between social and electrical…

Optimization and Control · Mathematics 2014-01-16 Luca Vassio , Fabio Fagnani , Paolo Frasca , Asuman Ozdaglar

Motivated by economic dispatch and linearly-constrained resource allocation problems, this paper proposes a class of novel Distributed-Approx Newton algorithms that approximate the standard Newton optimization method. We first develop the…

Optimization and Control · Mathematics 2019-11-21 Tor Anderson , Chin-Yao Chang , Sonia Martinez

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

Motivated by applications such as viral marketing, the problem of influence maximization (IM) has been extensively studied in the literature. The goal is to select a small number of users to adopt an item such that it results in a large…

Social and Information Networks · Computer Science 2019-06-03 Prithu Banerjee , Wei Chen , Laks V. S. Lakshmanan

Given a social network represented by a graph $G$, we consider the problem of finding a bounded cardinality set of nodes $S$ with the property that the influence spreading from $S$ in $G$ is as large as possible. The dynamics that govern…

Social and Information Networks · Computer Science 2015-02-17 Ferdinando Cicalese , Gennaro Cordasco , Luisa Gargano , Martin Milanic , Joseph Peters , Ugo Vaccaro

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 partial and budgeted versions of the well studied connected dominating set problem. In the partial connected dominating set problem, we are given an undirected graph G = (V,E) and an integer n', and the goal is to find a minimum…

Data Structures and Algorithms · Computer Science 2013-11-12 Samir Khuller , Manish Purohit , Kanthi Sarpatwar

We consider the canonical problem of influence maximization in social networks. Since the seminal work of Kempe, Kleinberg, and Tardos, there have been two largely disjoint efforts on this problem. The first studies the problem associated…

Social and Information Networks · Computer Science 2018-01-24 Eric Balkanski , Nicole Immorlica , Yaron Singer

In this paper, we study the adversarial attacks on influence maximization under dynamic influence propagation models in social networks. In particular, given a known seed set S, the problem is to minimize the influence spread from S by…

Social and Information Networks · Computer Science 2022-12-20 Lichao Sun , Xiaobin Rui , Wei Chen

The majority of fault-tolerant distributed algorithms are designed assuming a nominal corruption model, in which at most a fraction $f_n$ of parties can be corrupted by the adversary. However, due to the infamous Sybil attack, nominal…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-05 Andrei Tonkikh , Luciano Freitas

Over the past two decades, fair resource allocation problems have received considerable attention in a variety of application areas. However, little progress has been made in the design of distributed algorithms with convergence guarantees…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-02-17 Jelena Marasevic , Cliff Stein , Gil Zussman

In average consensus protocols, nodes in a network perform an iterative weighted average of their estimates and those of their neighbors. The protocol converges to the average of initial estimates of all nodes found in the network. The…

Optimization and Control · Mathematics 2014-07-21 Mahmoud El Chamie , Giovanni Neglia , Konstantin Avrachenkov

To mitigate the attacks by malicious peers and to motivate the peers to share the resources in peer-to-peer networks, several reputation systems have been proposed in the past. In most of them, the peers evaluate other peers based on their…

Networking and Internet Architecture · Computer Science 2016-01-08 Sateesh Kumar Awasthi , Yatindra Nath Singh

Given a positive integer $k$, a $k$-dominating set in a graph $G$ is a set of vertices such that every vertex not in the set has at least $k$ neighbors in the set. A total $k$-dominating set, also known as a $k$-tuple total dominating set,…

Data Structures and Algorithms · Computer Science 2018-07-25 Nina Chiarelli , Tatiana Romina Hartinger , Valeria Alejandra Leoni , Maria Inés Lopez Pujato , Martin Milanič

In the adaptive influence maximization problem, we are given a social network and a budget $k$, and we iteratively select $k$ nodes, called seeds, in order to maximize the expected number of nodes that are reached by an influence cascade…

Social and Information Networks · Computer Science 2021-05-06 Gianlorenzo D'Angelo , Debashmita Poddar , Cosimo Vinci

In a social network, adoption probability refers to the probability that a social entity will adopt a product, service, or opinion in the foreseeable future. Such probabilities are central to fundamental issues in social network analysis,…

Social and Information Networks · Computer Science 2013-09-26 Xiao Fang , Paul J. Hu , Zhepeng Li , Weiyu Tsai

Understanding spreading dynamics will benefit society as a whole in better preventing and controlling diseases, as well as facilitating the socially responsible information while depressing destructive rumors. In network-based spreading…

Physics and Society · Physics 2015-01-16 Ai-Xiang Cui , Zimo Yang , Tao Zhou

In this paper, we propose an optimization framework to design a network of positive linear systems whose structure switches according to a Markov process. The optimization framework herein proposed allows the network designer to optimize…

Optimization and Control · Mathematics 2019-03-19 Masaki Ogura , Victor M. Preciado

We consider the following multi--level opinion spreading model on networks. Initially, each node gets a weight from the set [0..k-1], where such a weight stands for the individuals conviction of a new idea or product. Then, by proceeding to…

Social and Information Networks · Computer Science 2012-09-27 Sara Brunetti , Gennaro Cordasco , Luisa Gargano , Elena Lodi , Walter Quattrociocchi

In this paper, we consider a population of individuals who have actions and opinions, which coevolve, mutually influencing one another on a complex network structure. In particular, we formulate a control problem for this social network, in…

Systems and Control · Electrical Eng. & Systems 2026-05-12 Roberta Raineri , Mengbin Ye , Lorenzo Zino