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Classic measures of graph centrality capture distinct aspects of node importance, from the local (e.g., degree) to the global (e.g., closeness). Here we exploit the connection between diffusion and geometry to introduce a multiscale…

Physics and Society · Physics 2020-07-29 Alexis Arnaudon , Robert L. Peach , Mauricio Barahona

Efficient testing and vaccination protocols are critical aspects of epidemic management. To study the optimal allocation of limited testing and vaccination resources in a heterogeneous contact network of interacting susceptible, recovered,…

Populations and Evolution · Quantitative Biology 2026-05-12 Mingtao Xia , Lucas Böttcher , Tom Chou

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

The epidemic threshold of a social system is the ratio of infection and recovery rate above which a disease spreading in it becomes an epidemic. In the absence of pharmaceutical interventions (i.e. vaccines), the only way to control a given…

In the study of disease spreading on empirical complex networks in SIR model, initially infected nodes can be ranked according to some measure of their epidemic impact. The highest ranked nodes, also referred to as "superspreaders", are…

Physics and Society · Physics 2014-07-16 Mile Sikic , Alen Lancic , Nino Antulov-Fantulin , Hrvoje Stefancic

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

We propose a new method to immunize populations or computer networks against epidemics which is more efficient than any method considered before. The novelty of our method resides in the way of determining the immunization targets. First we…

Physics and Society · Physics 2015-06-03 Christian M. Schneider , Tamara Mihaljev , Hans J. Herrmann

In this paper, we introduce a new model of parental decision-making concerning vaccines against a childhood disease that spreads over a contact network. We consider a bilayer network composed of two overlapping networks which are either…

Physics and Society · Physics 2023-10-06 Tamer Oraby , Andras Balogh

In this paper, a susceptible-infected-susceptible (SIS) model with identical infectivity, where each node is assigned with the same capability of active contacts, $A$, at each time step, is presented. We found that on scale-free networks,…

Physics and Society · Physics 2007-05-23 Rui Yang , Jie Ren , Wen-Jie Bai , Tao Zhou , Ming-Feng Zhang , Bing-Hong Wang

The dynamics of infectious diseases spread is crucial in determining their risk and offering ways to contain them. We study sequential vaccination of individuals in networks. In the original (deterministic) version of the Firefighter…

Systems and Control · Computer Science 2017-11-23 Guy Tennenholtz , Constantine Caramanis , Shie Mannor

Problems in distributed system security often map naturally to graphs. The concept of centrality assesses the importance of nodes in a graph. It is used in various applications. Cooperative game theory has also been used to create nuanced…

Quantum Physics · Physics 2026-04-30 Iain Burge , Michel Barbeau , Joaquin Garcia-Alfaro

We study a game-theoretic model of epidemic control in a large population with finitely many groups and non-cooperative individuals. In the model, individuals jointly choose their socialization levels and vaccination rates, and vaccination…

Optimization and Control · Mathematics 2026-04-28 Huaning Liu , Gokce Dayanikli

The position of the nodes within a network topology largely determines the level of their involvement in various networking functions. Yet numerous node centrality indices, proposed to quantify how central individual nodes are in this…

Social and Information Networks · Computer Science 2013-12-18 George Nomikos , Panagiotis Pantazopoulos , Merkourios Karaliopoulos , Ioannis Stavrakakis

We consider the effect of inducement to vaccinate during the spread of an infectious disease on complex networks. Suppose that public resources are finite and that only a small proportion of individuals can be vaccinated freely (complete…

Physics and Society · Physics 2015-03-30 Hai-Feng Zhang , Pan-Pan Shu , Ming Tang , Michael Small

A major strategy to prevent the spread of COVID-19 is the limiting of in-person contacts. However, this is impractical or impossible for the many disabled people who do not live in care facilities, but still require caregivers. We seek to…

Social and Information Networks · Computer Science 2021-09-28 Thomas E. Valles , Hannah Shoenhard , Joseph Zinski , Sarah Trick , Mason A. Porter , Michael R. Lindstrom

This study examines how contact network topology influences the effectiveness of vaccination programs in the context of human papillomavirus (HPV) transmission. Using the SeCoNet sexual contact network growth model, we evaluate age based,…

Social and Information Networks · Computer Science 2025-11-17 Weiyi Wang , Mahendra Piraveenan

Most real-world networks are not isolated. In order to function fully, they are interconnected with other networks, and this interconnection influences their dynamic processes. For example, when the spread of a disease involves two species,…

Physics and Society · Physics 2013-08-09 Huijuan Wang , Qian Li , Gregorio D'Agostino , Shlomo Havlin , H. Eugene Stanley , Piet Van Mieghem

Two observational methods are currently being used to monitor post-deployment vaccine effectiveness: the obvious crude method comparing rate testing positive per head of vaccinated population with that rate per head of unvaccinated…

Methodology · Statistics 2023-07-18 Roger F. Sewell

In this paper, the problem of bridge consensus is presented and solved. Bridge consensus consists of a network of nodes, some of whom are participating and others are non-participating. The objective is for all the agents to reach average…

Systems and Control · Computer Science 2015-01-13 David W. Casbeer , Yongcan Cao , Eloy Garcia , Dejan Milutinovic

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
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