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Structural analysis in network science is finding the information hidden from the topology structure of complex networks. Many methods have already been proposed in the research on the structural analysis of complex networks to find the…

Physics and Society · Physics 2024-02-22 Ronghao Deng , Meizhu Li , Qi Zhang

Complex systems such as ecological communities and neuron networks are essential parts of our everyday lives. These systems are composed of units which interact through intricate networks. The ability to predict sudden changes in the…

Adaptation and Self-Organizing Systems · Physics 2021-07-07 Deniz Eroglu , Matteo Tanzi , Sebastian van Strien , Tiago Pereira

I study a moral hazard problem between a principal and multiple agents who experience positive peer effects represented by a (weighted) network. Under the optimal linear contract, the principal provides high-powered incentives to central…

Theoretical Economics · Economics 2024-06-18 Marc Claveria-Mayol

The rich-club concept has been introduced in order to characterize the presence of a cohort of nodes with a large number of links (rich nodes) that tend to be well connected between each other, creating a tight group (club). Rich-clubness…

Physics and Society · Physics 2017-04-13 Alessandro Muscoloni , Carlo Vittorio Cannistraci

Much of the past work in network analysis has focused on analyzing discrete graphs, where binary edges represent the "presence" or "absence" of a relationship. Since traditional network measures (e.g., betweenness centrality) utilize a…

Social and Information Networks · Computer Science 2011-04-05 Joseph J. Pfeiffer , Jennifer Neville

Because of its wide application, critical nodes identification has become an important research topic at the micro level of network science. Influence maximization is one of the main problems in critical nodes mining and is usually handled…

Social and Information Networks · Computer Science 2022-01-21 Enyu Yu , Duanbing Chen , Yan Fu , Yuanyuan Xu

Spreading is a ubiquitous process in the social, biological and technological systems. Therefore, identifying influential spreaders, which is important to prevent epidemic spreading and to establish effective vaccination strategies, is full…

Physics and Society · Physics 2017-10-17 Senbin Yu , Liang Gao , Yi-Fan Wang , Ge Gao , Congcong Zhou , Zi-You Gao

Social Media is a key aspect of modern society where people share their thoughts, views, feelings and sentiments. Over the last few years, the inflation in popularity of social media has resulted in a monumental increase in data. Users use…

Social and Information Networks · Computer Science 2021-07-14 M. M. H Dihyat , K Malik , M. A Khan , B Imran

Complex systems can be effectively modeled via graphs that encode networked interactions, where relations between entities or nodes are often quantified by signed edge weights, e.g., promotion/inhibition in gene regulatory networks, or…

Optimization and Control · Mathematics 2024-04-05 Anqi Dong , Can Chen , Tryphon T. Georgiou

Achieving the United Nations Sustainable Development Goals (SDGs) requires an understanding of the complex interlinkages that exist among their underlying indicators. While most existing research examines these interconnections at the goal…

Dynamical Systems · Mathematics 2026-02-03 Gaurav Kottari , Qazi J. Azhad , Niteesh Sahni

We consider a nonlinear dynamical system on a signed graph, which can be interpreted as a mathematical model of social networks in which the links can have both positive and negative connotations. In accordance with a concept from social…

Social and Information Networks · Computer Science 2015-06-16 Tyler H. Summers , Iman Shames

The concept of nestedness, in particular for ecological and economical networks, has been introduced as a structural characteristic of real interacting systems. We suggest that the nestedness is in fact another way to express a mesoscale…

Physics and Society · Physics 2016-02-22 Sang Hoon Lee

We show that prominent centrality measures in network analysis are all based on additively separable and linear treatments of statistics that capture a node's position in the network. This enables us to provide a taxonomy of centrality…

Physics and Society · Physics 2021-01-25 Francis Bloch , Matthew O. Jackson , Pietro Tebaldi

To measure node importance, network scientists employ centrality scores that typically take a microscopic or macroscopic perspective, relying on node features or global network structure. However, traditional centrality measures such as…

Social and Information Networks · Computer Science 2022-08-18 Christopher Blöcker , Juan Carlos Nieves , Martin Rosvall

Quantifying the importance and power of individual nodes depending on their position in socio-economic networks constitutes a problem across a variety of applications. Examples include the reach of individuals in (online) social networks,…

Physics and Society · Physics 2021-06-01 Chengyuan Han , Dirk Witthaut , Marc Timme , Malte Schröder

Identifying key nodes is crucial for accelerating or impeding dynamic spreading in a network. Community-aware centrality measures tackle this problem by exploiting the community structure of a network. Although there is a growing trend to…

Social and Information Networks · Computer Science 2022-02-02 Stephany Rajeh , Marinette Savonnet , Eric Leclercq , Hocine Cherifi

The robustness and resilience of complex systems are crucial for maintaining functionality amid disruptions or intentional attacks. Many such systems can be modeled as networks, where identifying structurally central nodes is essential for…

Physics and Society · Physics 2025-09-30 Ru Zheng , Marcus Engsig , Alejandro Tejedor , Yamir Moreno

Among topics of opinion formation it is of interest to observe the characteristics of networks with a priori distinct communities. As an illustration, we report on the citation network(s) unfolded in the recent decades through web available…

Physics and Society · Physics 2012-09-04 G. Rotundo , M. Ausloos

We introduce a new centrality measure that characterizes the participation of each node in all subgraphs in a network. Smaller subgraphs are given more weight than larger ones, which makes this measure appropriate for characterizing network…

Statistical Mechanics · Physics 2009-11-11 Ernesto Estrada , Juan A. Rodriguez-Velazquez

In decentralized optimization, nodes cooperate to minimize an overall objective function that is the sum (or average) of per-node private objective functions. Algorithms interleave local computations with communication among all or a subset…

Optimization and Control · Mathematics 2018-01-16 Angelia Nedić , Alex Olshevsky , Michael G. Rabbat
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