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The source detection problem arises when an epidemic process unfolds over a contact network, and the objective is to identify its point of origin, i.e., the source node. Research on this problem began with the seminal work of Shah and Zaman…

Social and Information Networks · Computer Science 2026-05-28 Martin Sterchi , Nathan Brack , Lorenz Hilfiker

Identifying important nodes for disease spreading is a central topic in network epidemiology. We investigate how well the position of a node, characterized by standard network measures, can predict its epidemiological importance in any…

Populations and Evolution · Quantitative Biology 2020-07-28 Doina Bucur , Petter Holme

Infectious or contagious diseases can be transmitted from one person to another through social contact networks. In today's interconnected global society, such contagion processes can cause global public health hazards, as exemplified by…

Social and Information Networks · Computer Science 2020-07-30 Anirban Dasgupta , Srijan Sengupta

Network epidemiology's most important assumption is that the contact structure over which infectious diseases propagate can be represented as a static network. However, contacts are highly dynamic, changing at many time scales. In this…

Physics and Society · Physics 2015-06-12 Petter Holme

We consider the problem of detecting the source of a rumor which has spread in a network using only observations about which set of nodes are infected with the rumor and with no information as to \emph{when} these nodes became infected. In…

Probability · Mathematics 2015-11-04 Devavrat Shah , Tauhid Zaman

Recently, research that focuses on the rigorous understanding of the relation between simulation and/or exact models on graphs and approximate counterparts has gained lots of momentum. This includes revisiting the performance of classic…

Dynamical Systems · Mathematics 2011-10-18 Istvan Z. Kiss , Péter L. Simon

Contact tracing has been extensively studied from different perspectives in recent years. However, there is no clear indication of why this intervention has proven effective in some epidemics (SARS) and mostly ineffective in some others…

Social and Information Networks · Computer Science 2021-03-01 Quyu Kong , Manuel Garcia-Herranz , Ivan Dotu , Manuel Cebrian

This study develops the epidemic hitting time (EHT) metric on graphs measuring the expected time an epidemic starting at node $a$ in a fully susceptible network takes to propagate and reach node $b$. An associated EHT centrality measure is…

Physics and Society · Physics 2015-12-02 Max Goering , Faryad Darabi Sahneh , Nathan Albin , Caterina Scoglio , Pietro Poggi-Corradini

A rumor spreading in a social network or a disease propagating in a community can be modeled as an infection spreading in a network. Finding the infection source is a challenging problem, which is made more difficult in many applications…

Social and Information Networks · Computer Science 2014-04-08 Wuqiong Luo , Wee Peng Tay , Mei Leng

In this paper, we consider epidemiological networks which are used for modeling the transmission of contagious diseases through a population. Specifically, we study the so-called social sensors problem: given an epidemiological network, can…

Social and Information Networks · Computer Science 2021-12-30 Shubhajit Sen , Samhita Pal , Srijan Sengupta

Given a pair of graphs with the same number of vertices, the inexact graph matching problem consists in finding a correspondence between the vertices of these graphs that minimizes the total number of induced edge disagreements. We study…

Machine Learning · Statistics 2020-07-06 Jesús Arroyo , Daniel L. Sussman , Carey E. Priebe , Vince Lyzinski

When dealing with the dissemination of epidemics, one important question that can be asked is the location where the contamination began. In this paper, we analyze three spreading schemes and propose and validate an effective methodology…

Physics and Society · Physics 2016-07-27 Cesar Henrique Comin , Luciano da Fontoura Costa

The history of infections and epidemics holds famous examples where understanding, containing and ultimately treating an outbreak began with understanding its mode of spread. Influenza, HIV and most computer viruses, spread person to…

Social and Information Networks · Computer Science 2013-09-26 Chris Milling , Constantine Caramanis , Shie Mannor , Sanjay Shakkottai

Global strategies to contain a pandemic, such as social distancing and protective measures, are designed to reduce the overall transmission rate between individuals. Despite such measures, essential institutions, including hospitals,…

Populations and Evolution · Quantitative Biology 2022-09-07 Roberto Morán-Tovar , Henning Gruell , Florian Klein , Michael Lässig

Epidemiological geographic profiling is a statistical method for making inferences about likely areas of a source from the geographical distribution of patients. Epidemiological geographic profiling algorithms are developed to locate a…

Social and Information Networks · Computer Science 2016-03-01 Yoshiharu Maeno

In a networked system, functionality can be seriously endangered when nodes are infected, due to internal random failures or a contagious virus that develops into an epidemic. Given a snapshot of the network representing the nodes' states…

Social and Information Networks · Computer Science 2019-12-13 Seyyedali Hosseinalipour , Jie Wang , Yuanzhe Tian , Huaiyu Dai

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

We consider the problem of detecting an epidemic in a population where individual diagnoses are extremely noisy. The motivation for this problem is the plethora of examples (influenza strains in humans, or computer viruses in smartphones,…

Social and Information Networks · Computer Science 2014-02-07 Eli A. Meirom , Chris Milling , Constantine Caramanis , Shie Mannor , Ariel Orda , Sanjay Shakkottai

We investigate the information-theoretical limits of inference tasks in epidemic spreading on graphs in the thermodynamic limit. The typical inference tasks consist in computing observables of the posterior distribution of the epidemic…

Physics and Society · Physics 2023-12-25 Alfredo Braunstein , Louise Budzynski , Matteo Mariani

We adopt a maximum-likelihood framework to estimate parameters of a stochastic susceptible-infected-recovered (SIR) model with contact tracing on a rooted random tree. Given the number of detectees per index case, our estimator allows to…

Dynamical Systems · Mathematics 2023-11-23 Augustine Okolie , Johannes Müller , Mirjam Kretzschmar