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How does connectivity impact network dynamics? We address this question by linking network characteristics on two scales. On the global scale we consider the coherence of overall network dynamics. We show that such \emph{global coherence}…

Neurons and Cognition · Quantitative Biology 2013-12-13 Yu Hu , James Trousdale , Krešimir Josić , Eric Shea-Brown

We study the dynamics of epidemic spreading processes aimed at spontaneous dissemination of information updates in populations with complex connectivity patterns. The influence of the topological structure of the network in these processes…

Statistical Mechanics · Physics 2009-11-10 Yamir Moreno , Maziar Nekovee , Alessandro Vespignani

Disease awareness in infection dynamics can be modeled with adaptive contact networks whose rewiring rules reflect the attempt by susceptibles to avoid infectious contacts. Simulations of this type of models show an active phase with…

Adaptation and Self-Organizing Systems · Physics 2012-12-06 Stefan Wieland , Tomas Aquino , Ana Nunes

Nowadays, software has become a complex piece of work that may be beyond our control. Understanding how software evolves over time plays an important role in controlling software development processes. Recently, a few researchers found the…

Software Engineering · Computer Science 2008-08-26 Yutao Ma , Keqing He , Jing Liu

Network reliability is a well-studied problem that requires to measure the probability that a target node is reachable from a source node in a probabilistic (or uncertain) graph, i.e., a graph where every edge is assigned a probability of…

Social and Information Networks · Computer Science 2018-05-01 Arijit Khan , Francesco Bonchi , Francesco Gullo , Andreas Nufer

Diffusion processes in networks are increasingly used to model the spread of information and social influence. In several applications in computational sustainability such as the spread of wildlife, infectious diseases and traffic mobility…

Social and Information Networks · Computer Science 2013-09-27 Akshat Kumar , Daniel Sheldon , Biplav Srivastava

In this paper we study the household-structure SIS epidemic spreading on general complex networks. The household structure gives us the way to distinguish inner and the outer infection rate. Unlike household-structure models on homogenous…

Populations and Evolution · Quantitative Biology 2013-02-14 Jingzhou Liu , Jinshan Wu , Z. R. Yang

We study a graph-theoretic property known as robustness, which plays a key role in certain classes of dynamics on networks (such as resilient consensus, contagion and bootstrap percolation). This property is stronger than other graph…

Social and Information Networks · Computer Science 2015-03-20 Haotian Zhang , Elaheh Fata , Shreyas Sundaram

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

Here, we review the research we have done on social contagion. We describe the methods we have employed (and the assumptions they have entailed) in order to examine several datasets with complementary strengths and weaknesses, including the…

Social and Information Networks · Computer Science 2012-03-14 Nicholas A. Christakis , James H. Fowler

We propose a new network reliability measure for some particular kind of service networks, which we refer to as domination reliability. We relate this new reliability measure to the domination polynomial of a graph and the coverage…

Combinatorics · Mathematics 2025-12-03 Klaus Dohmen , Peter Tittmann

In this paper we study the susceptible-infectious (SI) epidemiological model using dynamical graphs. Dynamical structures have been recently applied in many areas including complex systems. Dynamical structures include the mutual…

Populations and Evolution · Quantitative Biology 2011-10-19 Jose L. Herrera , Gilberto Gonzalez-Parra

The use of network theory to model disease propagation on populations introduces important elements of reality to the classical epidemiological models. The use of random geometric graphs (RGG) is one of such network models that allows for…

Physics and Society · Physics 2016-12-21 Ernesto Estrada , Sandro Meloni , Matthew Sheerin , Yamir Moreno

Networks provide a skeleton for the spread of contagions, like, information, ideas, behaviors and diseases. Many times networks over which contagions diffuse are unobserved and need to be inferred. Here we apply survival theory to develop…

Social and Information Networks · Computer Science 2013-05-17 Manuel Gomez Rodriguez , Jure Leskovec , Bernhard Schoelkopf

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…

Populations and Evolution · Quantitative Biology 2013-08-28 Raul Ossada , José H. H. Grisi-Filho , Fernando Ferreira , Marcos Amaku

We study an extension of Axelrod's model for social influence, in which cultural drift is represented as random perturbations, while mass media are introduced by means of an external field. In this scenario, we investigate how the modular…

Physics and Society · Physics 2009-11-13 Julián Candia , Karina I. Mazzitello

Network epidemiology often assumes that the relationships defining the social network of a population are static. The dynamics of relationships is only taken indirectly into account, by assuming that the relevant information to study…

Populations and Evolution · Quantitative Biology 2010-04-09 Sebastian Risau-Gusman

Information diffusion mechanisms based on social influence models are mainly studied using likelihood of adoption when active neighbors expose a user to a message. The problem arises primarily from the fact that for the most part, this…

Social and Information Networks · Computer Science 2020-03-24 Soumajyoti Sarkar , Hamidreza Alvari , Paulo Shakarian

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-20 Othon Michail , Ioannis Chatzigiannakis , Paul G. Spirakis

Various kinds of spread of influence occur in real world social and virtual networks. These phenomena are formulated by activation processes and irreversible dynamic monopolies in combinatorial graphs representing the topology of the…

Discrete Mathematics · Computer Science 2024-03-05 Manouchehr Zaker