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Recent advances have focused mainly on the resilience of the monoplex network in attacks targeting random nodes or links, as well as the robustness of the network against cascading attacks. However, very little research has been done to…

Social and Information Networks · Computer Science 2024-02-21 Boqian Ma , Hao Ren , Jiaojiao Jiang

We present a new model of the evolutionary dynamics and the growth of on-line social networks. The model emulates people's strategies for acquiring information in social networks, emphasising the local subjective view of an individual and…

Social and Information Networks · Computer Science 2013-10-01 Emanuele Massaro , Henrik Olsson , Andrea Guazzini , Franco Bagnoli

We investigate choice-driven network growth. In this model, nodes are added one by one according to the following procedure: for each addition event a set of target nodes is selected, each according to linear preferential attachment, and a…

Statistical Mechanics · Physics 2014-07-25 P. L. Krapivsky , S. Redner

Growing network models can potentially be a useful tool in the development of economic theory. This work introduces an "opportunistic attachment" mechanism where incoming nodes, in deciding where to join a network, consider features of the…

Physics and Society · Physics 2026-04-21 Carolina ES Mattsson

A widely studied process of influence diffusion in social networks posits that the dynamics of influence diffusion evolves as follows: Given a graph $G=(V,E)$, representing the network, initially \emph{only} the members of a given…

Data Structures and Algorithms · Computer Science 2015-12-22 Gennaro Cordasco , Luisa Gargano , Adele A. Rescigno , Ugo Vaccaro

Structure and dynamics of complex networks usually deal with degree distributions, clustering, shortest path lengths and other graph properties. Although these concepts have been analysed for graphs on abstract spaces, many networks happen…

Statistical Mechanics · Physics 2009-11-13 M. O. Hase , J. F. F. Mendes

The majority of real-world networks are dynamic and extremely large (e.g., Internet Traffic, Twitter, Facebook, ...). To understand the structural behavior of nodes in these large dynamic networks, it may be necessary to model the dynamics…

Social and Information Networks · Computer Science 2015-03-20 Ryan Rossi , Brian Gallagher , Jennifer Neville , Keith Henderson

Network embedding aims to embed nodes into a low-dimensional space, while capturing the network structures and properties. Although quite a few promising network embedding methods have been proposed, most of them focus on static networks.…

Machine Learning · Computer Science 2019-09-11 Yuanfu Lu , Xiao Wang , Chuan Shi , Philip S. Yu , Yanfang Ye

Although static networks have been extensively studied in machine learning, data mining, and AI communities for many decades, the study of dynamic networks has recently taken center stage due to the prominence of social media and its…

Social and Information Networks · Computer Science 2020-12-21 Tony Gracious , Shubham Gupta , Arun Kanthali , Rui M. Castro , Ambedkar Dukkipati

We introduce a growing network model---the copying model---in which a new node attaches to a randomly selected target node and, in addition, independently to each of the neighbors of the target with copying probability $p$. When…

Statistical Mechanics · Physics 2016-12-14 U. Bhat , P. L. Krapivsky , R. Lambiotte , S. Redner

Influence propagation in networks has enjoyed fruitful applications and has been extensively studied in literature. However, only very limited preliminary studies tackled the challenges in handling highly dynamic changes in real networks.…

Social and Information Networks · Computer Science 2018-03-06 Yu Yang , Zhefeng Wang , Tianyuan Jin , Jian Pei , Enhong Chen

One of the most central questions in network science is: which nodes are most important? Often this question is answered using structural properties such as high connectedness or centrality in the network. However, static structural…

Physics and Society · Physics 2021-07-02 Casper van Elteren , Rick Quax , Peter Sloot

We study the evolution of networks when the creation and decay of links are based on the position of nodes in the network measured by their centrality. We show that the same network dynamics arises under various centrality measures, and…

Physics and Society · Physics 2013-05-29 Michael D. Koenig , Claudio J. Tessone

We propose a simple model of influence in a network, based on edge density. In the model vertices (people) follow the opinion of the group they belong to. The opinion percolates down from an active vertex, the influencer, at the head of the…

Discrete Mathematics · Computer Science 2023-05-15 Colin Cooper , Nan Kang , Tomasz Radzik

Real networks often grow through the sequential addition of new nodes that connect to older ones in the graph. However, many real systems evolve through the branching of fundamental units, whether those be scientific fields, countries, or…

Physics and Society · Physics 2020-06-30 Muhua Zheng , Guillermo García-Pérez , Marián Boguñá , M. Ángeles Serrano

Understanding spreading dynamics will benefit society as a whole in better preventing and controlling diseases, as well as facilitating the socially responsible information while depressing destructive rumors. In network-based spreading…

Physics and Society · Physics 2015-01-16 Ai-Xiang Cui , Zimo Yang , Tao Zhou

Networks are models representing relationships between entities. Often these relationships are explicitly given, or we must learn a representation which generalizes and predicts observed behavior in underlying individual data (e.g.…

Social and Information Networks · Computer Science 2017-09-19 Ivan Brugere , Chris Kanich , Tanya Y. Berger-Wolf

Diffusion models simulate the propagation of influence in networks. The design and evaluation of diffusion models has been subjective and empirical. When being applied to a network represented by a graph, the diffusion model generates a…

Social and Information Networks · Computer Science 2020-12-15 Fangqi Li

We introduce a model for the emergence of innovations, in which cognitive processes are described as random walks on the network of links among ideas or concepts, and an innovation corresponds to the first visit of a node. The transition…

Physics and Society · Physics 2018-01-25 Iacopo Iacopini , Staša Milojević , Vito Latora

Scaling behavior of scale-free evolving networks arising in communications, citations, collaborations, etc. areas is studied. We derive universal scaling relations describing properties of such networks and indicate limits of their…

Condensed Matter · Physics 2009-10-31 S. N. Dorogovtsev , J. F. F. Mendes
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