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In this paper, a susceptible-infected-susceptible (SIS) model with identical infectivity, where each node is assigned with the same capability of active contacts, $A$, at each time step, is presented. We found that on scale-free networks,…

Physics and Society · Physics 2007-05-23 Rui Yang , Jie Ren , Wen-Jie Bai , Tao Zhou , Ming-Feng Zhang , Bing-Hong Wang

Hypergraphs, increasingly utilised for modelling complex and diverse relationships in modern networks, gain much attention representing intricate higher-order interactions. Among various challenges, cohesive subgraph discovery is one of the…

Social and Information Networks · Computer Science 2025-12-30 Song Kim , Dahee Kim , Taejoon Han , Junghoon Kim , Hyun Ji Jeong , Jungeun Kim

The influence model is a discrete-time stochastic model that succinctly captures the interactions of a network of Markov chains. The model produces a reduced-order representation of the stochastic network, and can be used to describe and…

Systems and Control · Computer Science 2018-11-07 Chenyuan He , Yan Wan , Frank L. Lewis

Graphs are a highly expressive abstraction for modeling entities and their relations, such as molecular structures, social networks, and traffic networks. Deep Graph Networks (DGNs) have emerged as a family of deep learning models that can…

Machine Learning · Computer Science 2024-10-16 Alessio Gravina

The Identification of the influential nodes in networks is one of the most promising domains. In this paper, we present an improved iterative resource allocation (IIRA) method by considering the centrality information of neighbors and the…

Physics and Society · Physics 2015-09-30 Lin-Feng Zhong , Jian-Guo Liu , Ming-Sheng Shang

Rumor propagation in social networks undermines social stability and public trust, calling for interventions that are both effective and resource-efficient. We develop a node-level, time-varying optimal intervention framework that allocates…

Social and Information Networks · Computer Science 2025-11-03 Yan Zhu , Qingyang Liu , Chang Guo , Tianlong Fan , Linyuan Lü

We consider the problem of inferring the opinions of a social network through strategically sampling a minimum subset of nodes by exploiting correlations in node opinions. We first introduce the concept of information dominating set (IDS).…

Social and Information Networks · Computer Science 2014-05-23 Jianhang Gao , Qing Zhao , Anathram Swami

Interacting particle system (IPS) models have proven to be highly successful for describing the spatial movement of organisms. However, it has proven challenging to infer the interaction rules directly from data. In the field of equation…

Quantitative Methods · Quantitative Biology 2023-11-27 Daniel A. Messenger , Graycen E. Wheeler , Xuedong Liu , David M. Bortz

Given a network represented by a graph $G=(V,E)$, we consider a dynamical process of influence diffusion in $G$ that evolves as follows: Initially only the nodes of a given $S\subseteq V$ are influenced; subsequently, at each round, the set…

Data Structures and Algorithms · Computer Science 2016-10-13 Gennaro Cordasco , Luisa Gargano , Marco Mecchia , Adele A. Rescigno , Ugo Vaccaro

It is widely acknowledged that the initial spreaders play an important role for the wide spreading of information in complex networks. Thus, a variety of centrality-based methods have been proposed to identify the most influential…

Physics and Society · Physics 2021-04-15 Leyang Xue , Peng Zhang , An Zeng

Built upon the shoulders of graph theory, the field of complex networks has become a central tool for studying real systems across various fields of research. Represented as graphs, different systems can be studied using the same analysis…

Physics and Society · Physics 2024-05-30 Gorka Zamora-López , Matthieu Gilson

In recent years, Graph Neural Networks has received enormous attention from academia for its huge potential of modeling the network traits such as macrostructure and single node attributes. However, prior mainstream works mainly focus on…

Social and Information Networks · Computer Science 2022-07-13 Yang Yan , Qiuyan Wang

Influence maximization is the problem of finding a set of users in a social network, such that by targeting this set, one maximizes the expected spread of influence in the network. Most of the literature on this topic has focused…

Databases · Computer Science 2011-10-03 Amit Goyal , Francesco Bonchi , Laks V. S. Lakshmanan

We consider the optimization problem of seeding a spreading process on a temporal network so that the expected size of the resulting outbreak is maximized. We frame the problem for a spreading process following the rules of the…

Physics and Society · Physics 2020-10-20 Sirag Erkol , Dario Mazzilli , Filippo Radicchi

This study addresses the challenge of predicting network dynamics, such as forecasting disease spread in social networks or estimating species populations in predator-prey networks. Accurate predictions in large networks are difficult due…

Social and Information Networks · Computer Science 2023-08-23 Rui Luo

Identifying the node spreading influence in networks is an important task to optimally use the network structure and ensure the more efficient spreading in information. In this paper, by taking into account the shortest distance between a…

Physics and Society · Physics 2015-06-22 Jian-Guo Liu , Zhuo-Ming Ren , Qiang Guo

Dynamic networks are structured interconnections of dynamical systems (modules) driven by external excitation and disturbance signals. In order to identify their dynamical properties and/or their topology consistently from measured data, we…

Systems and Control · Computer Science 2018-04-12 Harm H. M. Weerts , Paul M. J. Van den Hof , Arne G. Dankers

Contagion dynamics in complex networks drive critical phenomena such as epidemic spread and information diffusion,but their analysis remains computationally prohibitive in large-scale, high-complexity systems. Here, we introduce the…

Physics and Society · Physics 2024-12-31 Leyang Xue , Zengru Di , An Zeng

The dynamics of contact networks and epidemics of infectious diseases often occur on comparable time scales. Ignoring one of these time scales may provide an incomplete understanding of the population dynamics of the infection process. We…

Populations and Evolution · Quantitative Biology 2021-02-09 Luis E C Rocha , Naoki Masuda

Changepoint models enjoy a wide appeal in a variety of disciplines to model the heterogeneity of ordered data. Graphical influence diagnostics to characterize the influence of single observations on changepoint models are, however, lacking.…

Methodology · Statistics 2021-07-23 Ines Wilms , Rebecca Killick , David S. Matteson