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We analyze a game-theoretic abstraction of epidemic containment played on an undirected graph $G$: each player is associated with a node in $G$ and can either acquire protection from a contagious process or risk infection. After decisions…

计算机科学与博弈论 · 计算机科学 2023-04-25 Mason DiCicco , Henry Poskanzer , Daniel Reichman

We consider the problem of self-healing in peer-to-peer networks that are under repeated attack by an omniscient adversary. We assume that, over a sequence of rounds, an adversary either inserts a node with arbitrary connections or deletes…

数据结构与算法 · 计算机科学 2012-08-08 Tom Hayes , Jared Saia , Amitabh Trehan

We formalize the problem of detecting the presence of a botnet in a network as an hypothesis testing problem where we observe a single instance of a graph. The null hypothesis, corresponding to the absence of a botnet, is modeled as a…

统计理论 · 数学 2021-04-16 Gianmarco Bet , Kay Bogerd , Rui M. Castro , Remco van der Hofstad

Consider a system of $K$ particles moving on the vertex set of a finite connected graph with at most one particle per vertex. If there is one, the particle at $x$ chooses one of the $\hbox{deg} (x)$ neighbors of its location uniformly at…

概率论 · 数学 2019-06-06 Shiba Biswal , Nicolas Lanchier

This work considers the distributed computation of the one-to-one vertex correspondences between two undirected and connected graphs, which is called \textit{graph matching}, over multi-agent networks. Given two \textit{isomorphic} and…

最优化与控制 · 数学 2020-02-21 Quoc Van Tran , Zhiyong Sun , Brian D. O. Anderson , Hyo-Sung Ahn

We study the contact process in the regime of small infection rates on finite scale-free networks with stationary dynamics based on simultaneous updating of all connections of a vertex. We allow the update rates of individual vertices to…

概率论 · 数学 2018-07-27 Emmanuel Jacob , Amitai Linker , Peter Mörters

The distance $d(u,v)$ between the vertices $u$ and $v$ of a connected graph $G$ is defined as the number of edges in a minimal path connecting them. The \emph{transmission} of a vertex $v$ of $G$ is defined by $\sigma(v)=\sum\limits_{u\in…

组合数学 · 数学 2018-09-18 Reza Sharafdini , Tamas Reti

In this paper, we design a greedy routing on networks of mobile agents. In the greedy routing algorithm, every time step a packet in agent $i$ is delivered to the agent $j$ whose distance from the destination is shortest among searched…

网络与互联网体系结构 · 计算机科学 2011-12-21 Han-Xin Yang , Wen-Xu Wang , Ying-Cheng Lai , Bing-Hong Wang

The transmission dynamics of some infectious diseases is related to the contact structure between individuals in a network. We used five algorithms to generate contact networks with different topological structure but with the same…

种群与进化 · 定量生物学 2013-08-28 Raul Ossada , José H. H. Grisi-Filho , Fernando Ferreira , Marcos Amaku

Zero forcing is an iterative coloring process on a graph that has been widely used in such different areas as the modelling of propagation phenomena in networks and the study of minimum rank problems in matrices and graphs. This paper deals…

组合数学 · 数学 2021-09-24 Josep Fàbrega , Jaume Martí-Farré , Xavier Muñoz

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…

物理与社会 · 物理学 2015-06-12 Petter Holme

This paper studies epidemic processes over discrete-time periodic time-varying networks. We focus on the susceptible-infected-susceptible (SIS) model that accounts for a (possibly) mutating virus. We say that an agent is in the disease-free…

系统与控制 · 电气工程与系统科学 2020-11-18 Sebin Gracy , Philip. E. Pare , Henrik Sandberg , Karl Henrik Johansson

In this paper we introduce the optimal control of a kinetic model describing agents who migrate on a graph and interact within its nodes exchanging a physical quantity. As a prototype model, we consider the spread of an infectious disease…

最优化与控制 · 数学 2026-01-15 Jonathan Franceschi , Nadia Loy

We investigate a fermionic susceptible-infected-susceptible model with mobility of infected individuals on uncorrelated scale-free networks with power-law degree distributions $P (k) \sim k^{-\gamma}$ of exponents $2<\gamma<3$. Two…

物理与社会 · 物理学 2018-12-12 Diogo H. Silva , Silvio C. Ferreira

Deployment of anti-virus software is a common strategy for preventing and controlling the propagation of computer viruses and worms over a computer network. As the deployment of such programs is often limited due to monetary or operational…

网络与互联网体系结构 · 计算机科学 2024-12-19 Jhonatan Tavori , Hanoch Levy

We study the network untangling problem introduced by Rozenshtein, Tatti, and Gionis [DMKD 2021], which is a variant of Vertex Cover on temporal graphs -- graphs whose edge set changes over discrete time steps. They introduce two problem…

数据结构与算法 · 计算机科学 2022-04-07 Vincent Froese , Pascal Kunz , Philipp Zschoche

In this work, we study the propagation of influence and computation in dynamic distributed systems. We focus on broadcasting models under a worst-case dynamicity assumption which have received much attention recently. We drop for the first…

分布式、并行与集群计算 · 计算机科学 2015-03-20 Othon Michail , Ioannis Chatzigiannakis , Paul G. Spirakis

We propose and analyze a graph model to study the connectivity of interdependent networks. Two interdependent networks of arbitrary topologies are modeled as two graphs, where every node in one graph is supported by supply nodes in the…

离散数学 · 计算机科学 2018-09-10 Jianan Zhang , Eytan Modiano

The asynchronous rumor algorithm spreading propagates a piece of information, the so-called rumor, in a network. Starting with a single informed node, each node is associated with an exponential time clock with rate $1$ and calls a random…

数据结构与算法 · 计算机科学 2020-05-19 Ali Pourmiri , Bernard Mans

In this paper, we study the interplay between individual behaviors and epidemic spreading in a dynamical network. We distribute agents on a square-shaped region with periodic boundary conditions. Every agent is regarded as a node of the…

物理与社会 · 物理学 2018-02-14 Han-Xin Yang , Ming Tang , Zhen Wang