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We use real-world contact sequences, time-ordered lists of contacts from one person to another, to study how fast information or disease can spread across network of contacts. Specifically we measure the reachability time -- the average…

其他凝聚态物理 · 物理学 2007-05-23 Petter Holme

Human mobility and activity patterns mediate contagion on many levels, including the spatial spread of infectious diseases, diffusion of rumors, and emergence of consensus. These patterns however are often dominated by specific locations…

物理与社会 · 物理学 2011-07-05 Duygu Balcan , Alessandro Vespignani

We prove and extend a conjecture of Kempe, Kleinberg, and Tardos (KKT) on the spread of influence in social networks. A social network can be represented by a directed graph where the nodes are individuals and the edges indicate a form of…

概率论 · 数学 2011-09-07 Elchanan Mossel , Sebastien Roch

We develop an analytical approach which provides the dependence of the mean first-passage time (MFPT) for random walks on complex networks both on the target connectivity and on the source-target distance. Our approach puts forward two…

统计力学 · 物理学 2015-05-27 Vincent Tejedor , Olivier Bénichou , Raphael Voituriez

We consider the qualitative behavior of a mathematical model for transmission dynamics with two nonlinear stages of contagion. The proposed model is inspired by phenomena occurring in epidemiology (spread of infectious diseases) or social…

动力系统 · 数学 2021-05-04 Julian Heidecke , Maria Vittoria Barbarossa

Information diffusion models typically assume a discrete timeline in which an information token spreads in the network. Since users in real-world networks vary significantly in their intensity and periods of activity, our objective in this…

社会与信息网络 · 计算机科学 2017-09-14 Daniel J. DiTursi , Gregorios A. Katsios , Petko Bogdanov

We model smart grids as complex interdependent networks, and study targeted attacks on smart grids for the first time. A smart grid consists of two networks: the power network and the communication network, interconnected by edges.…

社会与信息网络 · 计算机科学 2015-02-19 Sushmita Ruj , Arindam Pal

This paper investigates the benefits of cooperation and proposes a relay activation strategy for a large wireless network with multiple transmitters. In this framework, some nodes cooperate with a nearby node that acts as a relay, using the…

信息论 · 计算机科学 2016-11-17 Andrés Altieri , Leonardo Rey Vega , Pablo Piantanida , Cecilia Galarza

Consider a fully connected network of nodes, some of which have a piece of data to be disseminated to the whole network. We analyze the following push-type epidemic algorithm: in each push round, every node that has the data, i.e., every…

概率论 · 数学 2014-03-12 Mine Caglar , Ali Devin Sezer

In the problem of minimum connected dominating set with routing cost constraint, we are given a graph $G=(V,E)$, and the goal is to find the smallest connected dominating set $D$ of $G$ such that, for any two non-adjacent vertices $u$ and…

数据结构与算法 · 计算机科学 2018-02-20 Tung-Wei Kuo

In pinning control of complex networks, a tacit believing is that the system dynamics will be better controlled by pinning the large-degree nodes than the small-degree ones. Here, by changing the number of pinned nodes, we find that, when a…

物理与社会 · 物理学 2015-05-14 Lei Yang , Xingang Wang , Yao Li , Zhengmao Sheng

Binary-state models are those in which the constituent elements can only appear in two possible configurations. These models are fundamental in the mathematical treatment of a number of phenomena such as spin interactions in magnetism,…

物理与社会 · 物理学 2023-02-15 David Abella , Maxi San Miguel , José J. Ramasco

Understanding the process by which a contagion disseminates throughout a network is of great importance in many real world applications. The required sophistication of the inference approach depends on the type of information we want to…

社会与信息网络 · 计算机科学 2017-05-26 Shohreh Shaghaghian , Mark Coates

Many topological and dynamical properties of complex networks are defined by assuming that most of the transport on the network flows along the shortest paths. However, there are different scenarios in which non-shortest paths are used to…

物理与社会 · 物理学 2008-12-16 Ernesto Estrada , Naomichi Hatano

Recent research has focused on the monitoring of global-scale online data for improved detection of epidemics, mood patterns, movements in the stock market, political revolutions, box-office revenues, consumer behaviour and many other…

社会与信息网络 · 计算机科学 2012-11-29 Manuel Garcia-Herranz , Esteban Moro Egido , Manuel Cebrian , Nicholas A. Christakis , James H. Fowler

In this letter, we propose a new routing strategy to improve the transportation efficiency on complex networks. Instead of using the routing strategy for shortest path, we give a generalized routing algorithm to find the so-called {\it…

无序系统与神经网络 · 物理学 2007-05-23 Gang Yan , Tao Zhou , Bo Hu , Zhong-Qian Fu , Bing-Hong Wang

In many real, directed networks, the strongly connected component of nodes which are mutually reachable is very small. This does not fit with current theory, based on random graphs, according to which strong connectivity depends on mean…

无序系统与神经网络 · 物理学 2023-04-12 Niall Rodgers , Peter Tino , Samuel Johnson

Complex contagions describe systems where the probability or rate of contagious transmission is a nonlinear function of the exposure to contagious agents. These models were first studied theoretically but have since been used to capture…

The characterization of the "most connected" nodes in static or slowly evolving complex networks has helped in understanding and predicting the behavior of social, biological, and technological networked systems, including their robustness…

物理与社会 · 物理学 2010-10-21 Scott A. Hill , Dan Braha

Despite technological advancements, the significance of interdisciplinary subjects like complex networks has grown. Exploring communication within these networks is crucial, with traffic becoming a key concern due to the expanding…

网络与互联网体系结构 · 计算机科学 2024-01-02 Seyed Hassan Yajadda , Farshad Safaei