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Given a network of nodes, minimizing the spread of a contagion using a limited budget is a well-studied problem with applications in network security, viral marketing, social networks, and public health. In real graphs, virus may infect a…

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

Despite achieving strong performance in semi-supervised node classification task, graph neural networks (GNNs) are vulnerable to adversarial attacks, similar to other deep learning models. Existing researches focus on developing either…

Machine Learning · Computer Science 2021-08-26 Shuchang Tao , Huawei Shen , Qi Cao , Liang Hou , Xueqi Cheng

The Susceptible-Infected-Susceptible (SIS) model is a widely used model for the spread of information and infectious diseases, particularly non-immunizing ones, on a graph. Given a highly contagious disease, a natural question is how to…

Machine Learning · Computer Science 2025-06-19 Sepehr Elahi , Paula Mürmann , Patrick Thiran

In this paper, we study the problem of minimizing the spread of a viral epidemic when immunization takes a non-negligible amount of time to take into effect. Specifically, our problem is to determine which set of nodes to be vaccinated when…

Social and Information Networks · Computer Science 2023-07-14 Shiju Li , Xin Huang , Chul-Ho Lee , Do Young Eun

Targeted immunization or attacks of large-scale networks has attracted significant attention by the scientific community. However, in real-world scenarios, knowledge and observations of the network may be limited thereby precluding a full…

We consider optimal attacks or immunization schemes on different models of random graphs. We derive bounds for the minimum number of nodes needed to be removed from a network such that all remaining components are fragments of negligible…

Physics and Society · Physics 2019-12-10 Nicole Balashov , Reuven Cohen , Avieli Haber , Michael Krivelevich , Simi Haber

Immunizing a subset of nodes in a network - enabling them to identify and withstand the spread of harmful content - is one of the most effective ways to counter the spread of malicious content. It has applications in network security,…

Social and Information Networks · Computer Science 2019-12-30 Muhammad Ahmad , Sarwan Ali , Juvaria Tariq , Imdadullah Khan , Mudassir Shabbir , Arif Zaman

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 problem of targeted network immunization can be defined as the one of finding a subset of nodes in a network to immunize or vaccinate in order to minimize a tradeoff between the cost of vaccination and the final (stationary) expected…

Physics and Society · Physics 2015-07-10 F. Altarelli , A. Braunstein , L. Dall'Asta , J. R. Wakeling , R. Zecchina

Network immunization is an automated task in the field of network analysis that involves protecting a network (modeled as a graph) from being infected by an undesired arbitrary diffusion. In this article, we consider the spread of harmful…

Social and Information Networks · Computer Science 2024-06-21 Elena-Simona Apostol , Özgur Coban , Ciprian-Octavian Truică

We consider the problem of distributing a vaccine for immunizing a scale-free network against a given virus or worm. We introduce a new method, based on vaccine dissemination, that seems to reflect more accurately what is expected to occur…

Networking and Internet Architecture · Computer Science 2007-05-23 Alexandre O. Stauffer , Valmir C. Barbosa

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

This study explores the vaccine prioritization strategy to reduce the overall burden of the pandemic when the supply is limited. Existing methods conduct macro-level or simplified micro-level vaccine distribution by assuming the homogeneous…

Populations and Evolution · Quantitative Biology 2023-05-10 Lu Ling , Washim Uddin Mondal , Satish V , Ukkusuri

Vaccination has played an important role in preventing the spread of infectious diseases. However, the limited availability of vaccines and personnel at the roll-out of a new vaccine and the costs of vaccination campaigns often limit how…

Physics and Society · Physics 2026-01-27 Rowan Hoogervorst , Evelien van der Hurk , David Pisinger

Network immunization is an extensively recognized issue in several domains like virtual network security, public health and social media, to deal with the problem of node inoculation so as to minimize the transmission through the links…

Social and Information Networks · Computer Science 2019-01-03 Chandni Saxena , M. N. Doja , Tanvir Ahmad

Given a network with an ongoing epidemic, the network immunization problem seeks to identify a fixed number of nodes to immunize in order to maximize the number of infections prevented. A fundamental computational challenge in network…

Data Structures and Algorithms · Computer Science 2026-02-19 Ajitesh Srivastava , Shang-Hua Teng

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

We investigate three aspects of the importance of nodes with respect to Susceptible-Infectious-Removed (SIR) disease dynamics: influence maximization (the expected outbreak size given a set of seed nodes), the effect of vaccination (how…

Populations and Evolution · Quantitative Biology 2017-12-13 Petter Holme

Massive sizes of real-world graphs, such as social networks and web graph, impose serious challenges to process and perform analytics on them. These issues can be resolved by working on a small summary of the graph instead . A summary is a…

Data Structures and Algorithms · Computer Science 2018-06-12 Maham Anwar Beg , Muhammad Ahmad , Arif Zaman , Imdadullah Khan

The largest eigenvalue of the adjacency matrix of a network (referred to as the spectral radius) is an important metric in its own right. Further, for several models of epidemic spread on networks (e.g., the `flu-like' SIS model), it has…

Social and Information Networks · Computer Science 2015-01-28 Sudip Saha , Abhijin Adiga , B. Aditya Prakash , Anil Kumar S. Vullikanti
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