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In this paper we propose a method for sparse dynamic allocation of resources to bound the risk of spreading processes, such as epidemics and wildfires, using convex optimization and dynamic programming techniques. Here, risk is defined as…

Systems and Control · Electrical Eng. & Systems 2021-10-18 Vera L. J. Somers , Ian R. Manchester

Spreading of either information or matter can often be treated as a network problem. It can be of great importance to be able to estimate the likelihood that spreading through a network reaches essentially the entire network while still not…

Disordered Systems and Neural Networks · Physics 2009-03-09 Tomas Alarcon , Henrik Jeldtoft Jensen

Multigraphs are graphs in which multiple links between pairs of nodes are allowed, whereas they are forbidden in simple graphs, the latter being widely used in network science. Simple graphs generated by the configuration model have served…

Physics and Society · Physics 2026-05-29 Paulo H. Lorenzoni , Wesley Cota , Francisco A. Rodrigues , Silvio C. Ferreira

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

Understanding the dynamics of computer virus (malware, worm) in cyberspace is an important problem that has attracted a fair amount of attention. Early investigations for this purpose adapted biological epidemic models, and thus inherited…

Cryptography and Security · Computer Science 2016-03-25 Shouhuai Xu , Wenlian Lu , Li Xu

Motivated by the analysis of social networks, we study a model of random networks that has both a given degree distribution and a tunable clustering coefficient. We consider two types of growth processes on these graphs: diffusion and…

Probability · Mathematics 2012-02-23 Emilie Coupechoux , Marc Lelarge

When modelling epidemics or spread of information on online social networks, it is crucial to include not just the density of the connections through which infections can be transmitted, but also the variability of susceptibility. Different…

Physics and Society · Physics 2020-02-18 Ágnes Backhausz , Edit Bognár

In this paper, we analyze the dynamics of spreading processes taking place over time-varying networks. A common approach to model time-varying networks is via Markovian random graph processes. This modeling approach presents the following…

Social and Information Networks · Computer Science 2016-11-04 Masaki Ogura , Victor M. Preciado

Random walk is one of the basic mechanisms found in many network applications. We study the epidemic spreading dynamics driven by biased random walks on complex networks. In our epidemic model, each time infected nodes constantly spread…

Physics and Society · Physics 2015-06-22 Cunlai Pu , Siyuan Li , Jian Yang

Many real networks exhibit a layered structure in which links in each layer reflect the function of nodes on different environments. These multiple types of links are usually represented by a multiplex network in which each layer has a…

Physics and Society · Physics 2014-03-19 C. Buono , L. G. Alvarez Zuzek , P. A. Macri , L. A. Braunstein

The robustness of a network is depending on the type of attack we are considering. In this paper we focus on the spread of viruses on networks. It is common practice to use the epidemic threshold as a measure for robustness. Because the…

Discrete Mathematics · Computer Science 2008-12-11 Robert Kooij , Phillip Schumm , Caterina Scoglio

The network virus propagation is influenced by various factors, and some of them are neglected in most of the existed models in the literature. In this paper, we study the network virus propagation based on the the epidemiological…

Computer Science and Game Theory · Computer Science 2014-10-15 Iyed Khammassi , Rachid Elazouzi , Majed Haddad , Issam Mabrouki

In this paper we consider a model for the spread of a stochastic SIR (Susceptible $\to$ Infectious $\to$ Recovered) epidemic on a network of individuals described by a random intersection graph. Individuals belong to a random number of…

Probability · Mathematics 2014-04-29 Frank G. Ball , David J. Sirl , Pieter Trapman

We study epidemic spreading processes in large networks, when the spread is assisted by a small number of external agents: infection sources with bounded spreading power, but whose movement is unrestricted vis-\`a-vis the underlying network…

Social and Information Networks · Computer Science 2014-04-15 Siddhartha Banerjee , Aditya Gopalan , Abhik Kumar Das , Sanjay Shakkottai

Identifying noteworthy spreaders in a network is essential for understanding the spreading process and controlling the reach of the spread in the network. The nodes that are holding more intrinsic power to extend the reach of the spread are…

Social and Information Networks · Computer Science 2021-03-23 Samet Atdag , Haluk O. Bingol

We study spreading processes in temporal graphs, i. e., graphs whose connections change over time. These processes naturally model real-world phenomena such as infectious diseases or information flows. More precisely, we investigate how…

Data Structures and Algorithms · Computer Science 2021-07-21 Hendrik Molter , Malte Renken , Philipp Zschoche

Randomized rumor spreading processes diffuse information on an undirected graph and have been widely studied. In this work, we present a generic framework for analyzing a broad class of such processes on regular graphs. Our analysis is…

Discrete Mathematics · Computer Science 2023-11-29 Charlotte Out , Nicolás Rivera , Thomas Sauerwald , John Sylvester

Epidemic spreading can be suppressed by the introduction of containment measures such as social distancing and lock downs. Yet, when such measures are relaxed, new epidemic waves and infection cycles may occur. Here we explore this issue in…

Physics and Society · Physics 2020-12-07 Fabio Caccioli , Daniele De Martino

In this work, we study the problem of clearing contamination spreading through a large network where we model the problem as a graph searching game. The problem can be summarized as constructing a search strategy that will leave the graph…

Social and Information Networks · Computer Science 2014-08-19 Michael Simpson , Venkatesh Srinivasan , Alex Thomo

We introduce the \emph{temporal graphlet kernel} for classifying dissemination processes in labeled temporal graphs. Such dissemination processes can be spreading (fake) news, infectious diseases, or computer viruses in dynamic networks.…

Social and Information Networks · Computer Science 2022-09-16 Lutz Oettershagen , Nils M. Kriege , Claude Jordan , Petra Mutzel
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