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A useful approach to the mathematical analysis of large-scale biological networks is based upon their decompositions into monotone dynamical systems. This paper deals with two computational problems associated to finding decompositions…

分子网络 · 定量生物学 2007-05-23 Bhaskar DasGupta , German Andres Enciso , Eduardo Sontag , Yi Zhang

Models of epidemics over networks have become popular, as they describe the impact of individual behavior on infection spread. However, they come with high computational complexity, which constitutes a problem in case large-scale scenarios…

系统与控制 · 电气工程与系统科学 2026-02-10 Davide Zorzenon , Fabio Molinari , Joerg Raisch

We introduce a new graph-theoretic concept in the area of network monitoring. A set $M$ of vertices of a graph $G$ is a \emph{distance-edge-monitoring set} if for every edge $e$ of $G$, there is a vertex $x$ of $M$ and a vertex $y$ of $G$…

数据结构与算法 · 计算机科学 2022-09-26 Florent Foucaud , Shih-Shun Kao , Ralf Klasing , Mirka Miller , Joe Ryan

We study spreading on networks where the contact dynamics between the nodes is governed by a random process and where the inter-contact time distribution may differ from the exponential. We consider a process of imperfect spreading, where…

物理与社会 · 物理学 2016-07-07 Martin Gueuning , Jean-Charles Delvenne , Renaud Lambiotte

We study the problem of inferring network topology from information cascades, in which the amount of time taken for information to diffuse across an edge in the network follows an unknown distribution. Unlike previous studies, which assume…

社会与信息网络 · 计算机科学 2019-03-05 Feng Ji , Wenchang Tang , Wee Peng Tay , Edwin K. P. Chong

We consider minimizing a sum of agent-specific nondifferentiable merely convex functions over the solution set of a variational inequality (VI) problem in that each agent is associated with a local monotone mapping. This problem finds an…

最优化与控制 · 数学 2022-12-13 Harshal D. Kaushik , Sepideh Samadi , Farzad Yousefian

We study a multi-type SIR epidemic process among a heterogeneous population that interacts through a network. When we base social contact on a random graph with given vertex degrees, we give limit theorems on the fraction of infected…

物理与社会 · 物理学 2021-11-02 Hamed Amini , Andreea Minca

In this paper, we study the dynamics of epidemic processes taking place in temporal and adaptive networks. Building on the activity-driven network model, we propose an adaptive model of epidemic processes, where the network topology…

社会与信息网络 · 计算机科学 2018-02-27 Masaki Ogura , Victor M. Preciado , Naoki Masuda

Graph neural networks (GNNs) are widely used in many applications. However, their robustness against adversarial attacks is criticized. Prior studies show that using unnoticeable modifications on graph topology or nodal features can…

机器学习 · 计算机科学 2020-02-27 Xianfeng Tang , Yandong Li , Yiwei Sun , Huaxiu Yao , Prasenjit Mitra , Suhang Wang

We study a family online influence maximization problems where in a sequence of rounds $t=1,\ldots,T$, a decision maker selects one from a large number of agents with the goal of maximizing influence. Upon choosing an agent, the decision…

机器学习 · 计算机科学 2021-09-27 Gábor Lugosi , Gergely Neu , Julia Olkhovskaya

Given a social network represented by a graph $G$, we consider the problem of finding a bounded cardinality set of nodes $S$ with the property that the influence spreading from $S$ in $G$ is as large as possible. The dynamics that govern…

社会与信息网络 · 计算机科学 2015-02-17 Ferdinando Cicalese , Gennaro Cordasco , Luisa Gargano , Martin Milanic , Joseph Peters , Ugo Vaccaro

I study the spreading of infectious diseases on heterogeneous populations. I represent the population structure by a contact-graph where vertices represent agents and edges represent disease transmission channels among them. The population…

种群与进化 · 定量生物学 2009-11-13 Alexei Vazquez

We provide a protocol for real-valued average consensus by networks of agents which exchange only a single message from the ternary alphabet {-1,0,1} between neighbors at each step. Our protocol works on time-varying undirected graphs…

最优化与控制 · 数学 2014-02-11 Alex Olshevsky

In this paper, we study the dynamics of a viral spreading process in random geometric graphs (RGG). The spreading of the viral process we consider in this paper is closely related with the eigenvalues of the adjacency matrix of the graph.…

多智能体系统 · 计算机科学 2010-02-02 Victor M. Preciado , Ali Jadbabaie

We study a system of random walks, known as the frog model, starting from a profile of independent Poisson($\lambda$) particles per site, with one additional active particle planted at some vertex $\mathbf{o}$ of a finite connected simple…

Data of physical contacts and face-to-face communications suggest temporally varying networks as the media on which infections take place among humans and animals. Epidemic processes on temporal networks are complicated by complexity of…

物理与社会 · 物理学 2016-07-12 Leo Speidel , Konstantin Klemm , Víctor M. Eguíluz , Naoki Masuda

Multiagent systems consist of agents that locally exchange information through a physical network subject to a graph topology. Current control methods for networked multiagent systems assume the knowledge of graph topologies in order to…

最优化与控制 · 数学 2015-01-15 Tansel Yucelen , John Daniel Peterson , Kevin L. Moore

In this paper, we investigate game-theoretic strategies for containing spreading processes on large-scale networks. Specifically, we consider the class of networked susceptible-infected-susceptible (SIS) epidemics where a large population…

系统与控制 · 电气工程与系统科学 2024-07-04 Abhisek Satapathi , Ashish R. Hota

Estimating population-level prevalence and transmission dynamics of wildlife pathogens can be challenging, partly because surveillance data is sparse, detection-driven, and unevenly sequenced. Using highly pathogenic avian influenza A/H5…

The power domination problem seeks to find the placement of the minimum number of sensors needed to monitor an electric power network. We generalize the power domination problem to hypergraphs using the infection rule from Bergen et al:…

组合数学 · 数学 2019-10-09 Beth Bjorkman