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Related papers: Parameterized Complexity of Immunization in the Th…

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Given a population with dynamic pairwise connections, we ask if the entire population could be (indirectly) infected by a small group of $k$ initially infected individuals. We formalise this problem as the Temporal Reachability Dominating…

Discrete Mathematics · Computer Science 2024-05-06 David C. Kutner , Laura Larios-Jones

We consider an SIR epidemic model propagating on a configuration model network, where the degree distribution of the vertices is given and where the edges are randomly matched. The evolution of the epidemic is summed up into three…

Probability · Mathematics 2012-05-09 Laurent Decreusefond , Jean-Stéphane Dhersin , Pascal Moyal , Viet Chi Tran

Among the diverse and important applications that networks currently have is the modeling of infectious diseases. Immunization, or the process of protecting nodes in the network, plays a key role in stopping diseases from spreading. Hence…

Populations and Evolution · Quantitative Biology 2021-07-22 Ronald Manríquez , Camilo Guerrero-Nancuante

In this paper, we focus on susceptible-infected-susceptible dynamics on metapopulation networks, where nodes represent subpopulations, and where agents diffuse and interact. Recent studies suggest that heterogeneous network structure…

Physics and Society · Physics 2015-06-11 Taro Takaguchi , Renaud Lambiotte

In earlier rumor spreading models, at each time step nodes contact all of their neighbors. In more realistic scenario it is possible that a node may contact only some of its neighbors to spread the rumor. Therefore it is must in real world…

Social and Information Networks · Computer Science 2013-04-05 Anurag Singh , Yatindra Nath Singh

The design of an efficient curing policy, able to stem an epidemic process at an affordable cost, has to account for the structure of the population contact network supporting the contagious process. Thus, we tackle the problem of…

Optimization and Control · Mathematics 2017-12-04 Stefania Ottaviano , Francesco De Pellegrini , Stefano Bonaccorsi , Piet Van Mieghem

We study the effect of limiting the number of different messages a node can transmit simultaneously on the verification complexity of proof-labeling schemes (PLS). In a PLS, each node is given a label, and the goal is to verify, by…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-24 Boaz Patt-Shamir , Mor Perry

In the problem of influence maximization in information networks, the objective is to choose a set of initially active nodes subject to some budget constraints such that the expected number of active nodes over time is maximized. The linear…

Social and Information Networks · Computer Science 2016-11-06 T. -H. Hubert Chan , Li Ning

We consider the optimization problem of seeding a spreading process on a temporal network so that the expected size of the resulting outbreak is maximized. We frame the problem for a spreading process following the rules of the…

Physics and Society · Physics 2020-10-20 Sirag Erkol , Dario Mazzilli , Filippo Radicchi

The problem of identifying important players in a given network is of pivotal importance for viral marketing, public health management, network security and various other fields of social network analysis. In this work we find the most…

Discrete Mathematics · Computer Science 2017-11-03 Juvaria Tariq , Muhammad Ahmad , Imdadullah Khan , Mudassir Shabbir

Our main goal is to examine the role of communities in epidemic spread in a random graph model. More precisely, we consider a random graph model which consists of overlapping complete graphs, representing households, workplaces, school…

Physics and Society · Physics 2023-08-25 Ágnes Backhausz , György J. Székely

The general problem in this paper is vertex (node) subset selection with the goal to contain an infection that spreads in a network. Instead of selecting the single most important node, this paper deals with the problem of selecting…

Systems and Control · Electrical Eng. & Systems 2020-10-14 Michael Emmerich , Joost Nibbeling , Marios Kefalas , Aske Plaat

Epidemics occur in all shapes and forms: infections propagating in our sparse sexual networks, rumours and diseases spreading through our much denser social interactions, or viruses circulating on the Internet. With the advent of large…

Physics and Society · Physics 2013-09-02 Laurent Hébert-Dufresne , Antoine Allard , Jean-Gabriel Young , Louis J. Dubé

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

Model immunization aims to pre-train models that are difficult to fine-tune on harmful tasks while retaining their utility on other non-harmful tasks. Though prior work has shown empirical evidence for immunizing text-to-image models, the…

Machine Learning · Computer Science 2025-05-30 Amber Yijia Zheng , Cedar Site Bai , Brian Bullins , Raymond A. Yeh

Inspired by the famous Target Set Selection problem, we propose a new discrete model to simultaneously spread two opinions within a social network and perform an initial study of its complexity. Here, we are given a social network, a…

Data Structures and Algorithms · Computer Science 2025-06-23 Dušan Knop , Šimon Schierreich , Ondřej Suchý

In many cases, tainted information in a computer network can spread in a way similar to an epidemics in the human world. On the other had, information processing paths are often redundant, so a single infection occurrence can be easily…

Physics and Society · Physics 2024-03-07 Franco Bagnoli , Emanuele Bellini , Emanuele Massaro

Spreading processes represent a very efficient tool to investigate the structural properties of networks and the relative importance of their constituents, and have been widely used to this aim in static networks. Here we consider simple…

Physics and Society · Physics 2013-09-11 Michele Starnini , Anna Machens , Ciro Cattuto , Alain Barrat , Romualdo Pastor Satorras

Nowadays, epidemic models provide an appropriate tool for describing the propagation of biological viruses in human or animal populations, or rumours and other kinds of information in social networks and malware in both computer and ad hoc…

Optimization and Control · Mathematics 2020-07-21 Vladislav Taynitskiy , Elena Gubar , Denis Fedyanin , Ilya Petrov , Quanyan Zhu

The whole frame of interconnections in complex networks hinges on a specific set of structural nodes, much smaller than the total size, which, if activated, would cause the spread of information to the whole network [1]; or, if immunized,…

Physics and Society · Physics 2015-08-27 Flaviano Morone , Hernan A. Makse