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This paper provides the analysis for functional approaches of complex network systems research. In order to study the behavior of these systems the flow adjacency matrices were introduced. The concepts of strength, power, domain and…

物理与社会 · 物理学 2019-07-26 Olexandr Polishchuk

Spreading processes represent a very efficient tool to investigate the structural properties of networks and the relative importance of their constituents, and have been widely used to this aim in static networks. Here we consider simple…

物理与社会 · 物理学 2013-09-11 Michele Starnini , Anna Machens , Ciro Cattuto , Alain Barrat , Romualdo Pastor Satorras

Finding the important nodes in complex networks by topological structure is of great significance to network invulnerability. Several centrality measures have been proposed recently to evaluate the performance of nodes based on their…

社会与信息网络 · 计算机科学 2021-02-23 Pengli Lu , Chen Dong , Yuhong Guo

By studying varies dynamical processes, including coupled maps, cellular automata and coupled differential equations, on five different kinds of known networks, we found a positive relation between signal correlation and node's degree. Thus…

统计力学 · 物理学 2007-05-23 Lei Yang , Liang Huang , Yong Zhang , Kongqing Yang

Complex networks are abundant in nature and many share an important structural property: they contain a few nodes that are abnormally highly connected (hubs). Some of these hubs are called influencers because they couple strongly to the…

适应与自组织系统 · 物理学 2024-09-04 Ralf Tönjes , Carlos E. Fiore , Tiago Pereira

Influencing (and being influenced by) others through social networks is fundamental to all human societies. Whether this happens through the diffusion of rumors, opinions, or viruses, identifying the diffusion source (i.e., the person that…

社会与信息网络 · 计算机科学 2022-09-05 Marcin Waniek , Manuel Cebrian , Petter Holme , Talal Rahwan

Community structure is an important factor in the behavior of real-world networks because it strongly affects the stability and thus the phase transition order of the spreading dynamics. We here propose a reversible social contagion model…

物理与社会 · 物理学 2018-06-13 Zhen Su , Wei Wang , Lixiang Li , H. Eugene Stanley , Lidia A. Braunstein

Localization phenomena permeate many branches of physics playing a fundamental role on dynamical processes evolving on heterogeneous networks. These localization analyses are frequently grounded, for example, on eigenvectors of adjacency or…

物理与社会 · 物理学 2020-11-24 Diogo H. Silva , Silvio C. Ferreira

Network structure can affect when and how widely new ideas, products, and behaviors are adopted. In widely-used models of biological contagion, interventions that randomly rewire edges (on average making them "longer") accelerate spread.…

社会与信息网络 · 计算机科学 2023-08-22 Dean Eckles , Elchanan Mossel , M. Amin Rahimian , Subhabrata Sen

In this paper, we focus on susceptible-infected-susceptible dynamics on metapopulation networks, where nodes represent subpopulations, and where agents diffuse and interact. Recent studies suggest that heterogeneous network structure…

物理与社会 · 物理学 2015-06-11 Taro Takaguchi , Renaud Lambiotte

Stochasticity and spatial heterogeneity are of great interest recently in studying the spread of an infectious disease. The presented method solves an inverse problem to discover the effectively decisive topology of a heterogeneous network…

人工智能 · 计算机科学 2015-03-13 Yoshiharu Maeno

We introduce a new method to efficiently approximate the number of infections resulting from a given initially-infected node in a network of susceptible individuals. Our approach is based on counting the number of possible infection walks…

生物物理 · 物理学 2012-10-25 Frank Bauer , Joseph T. Lizier

The common real-world feature of individuals migrating through a network -- either in real space or online -- significantly complicates understanding of network processes. Here we show that even though a network may appear static on…

物理与社会 · 物理学 2016-08-24 Pedro D. Manrique , Hong Qi , Minzhang Zheng , Chen Xu , Pak Ming Hui , Neil F. Johnson

Time-limited states characterise many dynamical processes on networks: disease infected individuals recover after some time, people forget news spreading on social networks, or passengers may not wait forever for a connection. These…

物理与社会 · 物理学 2023-06-13 Arash Badie-Modiri , Márton Karsai , Mikko Kivelä

Distances in a network capture relations between nodes and are the basis of centrality, similarity, and influence measures. Often, however, the relevance of a node $u$ to a node $v$ is more precisely measured not by the magnitude of the…

社会与信息网络 · 计算机科学 2016-02-25 Eliav Buchnik , Edith Cohen

We consider an infectious disease spreading along the edges of a network which may have significant clustering. The individuals in the population have heterogeneous infectiousness and/or susceptibility. We define the out-transmissibility of…

种群与进化 · 定量生物学 2008-05-01 Joel C. Miller

Identifying emerging influential or popular node/item in future on network is a current interest of the researchers. Most of previous works focus on identifying leaders in time evolving networks on the basis of network structure or node's…

社会与信息网络 · 计算机科学 2016-09-07 Khushnood Abbas , Mingsheng Shang , Cai Shi-Min , Xiaoyu Shi

Knowing which nodes are influential in a complex network and whether the network can be influenced by a small subset of nodes is a key part of network analysis. However, many traditional measures of importance focus on node level…

物理与社会 · 物理学 2023-06-27 Niall Rodgers , Peter Tino , Samuel Johnson

Only a fast and global transformation towards decarbonization and sustainability can keep the Earth in a civilization-friendly state. As hotspots for (green) innovation and experimentation, cities could play an important role in this…

物理与社会 · 物理学 2022-04-12 Niklas H. Kitzmann , Pawel Romanczuk , Jonathan F. Donges

Information diffusion and virus propagation are fundamental processes taking place in networks. While it is often possible to directly observe when nodes become infected with a virus or adopt the information, observing individual…

数据结构与算法 · 计算机科学 2015-03-17 Manuel Gomez-Rodriguez , Jure Leskovec , Andreas Krause