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Spectral centrality measures allow to identify influential individuals in social groups, to rank Web pages by their popularity, and even to determine the impact of scientific researches. The centrality score of a node within a network…

Physics and Society · Physics 2011-09-22 Vincenzo Nicosia , Regino Criado , Miguel Romance , Giovanni Russo , Vito Latora

Complex systems of interacting components often can be modeled by a simple graph $\mathcal{G}$ that consists of a set of $n$ nodes and a set of $m$ edges. Such a graph can be represented by an adjacency matrix $A\in\R^{n\times n}$, whose…

Physics and Society · Physics 2025-09-17 Silvia Noschese , Lothar Reichel

The largest eigenvalue of the adjacency matrix of the networks is a key quantity determining several important dynamical processes on complex networks. Based on this fact, we present a quantitative, objective characterization of the…

Disordered Systems and Neural Networks · Physics 2009-11-11 J. G. Restrepo , E. Ott , B. R. Hunt

With great theoretical and practical significance, identifying the node spreading influence of complex network is one of the most promising domains. So far, various topology-based centrality measures have been proposed to identify the node…

Physics and Society · Physics 2014-08-27 Jian-Hong Lin , Jian-Guo Liu , Qiang Guo

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 the most influential individuals can provide invaluable help in developing and deploying effective viral marketing strategies. Previous studies mainly focus on designing efficient algorithms or heuristics to find top-K…

Social and Information Networks · Computer Science 2015-08-06 Xiaodong Liu , Xiangke Liao , Shanshan Li , Jingying Zhang , Lisong Shao , Chenlin Huang , Liquan Xiao

Identifying critical nodes and links in graphs is a crucial task. These nodes/links typically represent critical elements/communication links that play a key role in a system's performance. However, a majority of the methods available in…

Social and Information Networks · Computer Science 2022-05-31 Sai Munikoti , Laya Das , Balasubramaniam Natarajan

The main approaches for node classification in graphs are information propagation and the association of the class of the node with external information. State of the art methods merge these approaches through Graph Convolutional Networks.…

Social and Information Networks · Computer Science 2019-04-17 Idan Benami , Keren Cohen , Oved Nagar , Yoram Louzoun

Despite the numerous ways now available to quantify which parts or subsystems of a network are most important, there remains a lack of centrality measures that are related to the complexity of information flows and are derived directly from…

Physics and Society · Physics 2024-05-09 Jeremy Kazimer , Manlio de Domenico , Peter J. Mucha , Dane Taylor

Identification of communities in complex networks has become an effective means to analysis of complex systems. It has broad applications in diverse areas such as social science, engineering, biology and medicine. Finding communities of…

Social and Information Networks · Computer Science 2013-09-19 Dongxiao He , Di Jin , Weixiong Zhang

Understanding the behaviors of information propagation is essential for the effective exploitation of social influence in social networks. However, few existing influence models are both tractable and efficient for describing the…

Social and Information Networks · Computer Science 2012-09-11 Biao Xiang , Enhong Chen , Qi Liu , Hui Xiong

In this paper new results on personalized PageRank are shown. We consider directed graphs that may contain dangling nodes. The main result presented gives an analytical characterization of all the possible values of the personalized…

Discrete Mathematics · Computer Science 2012-07-13 Esther Garcia , Francisco Pedroche , Miguel Romance

Empirical complex systems can be characterized not only by pairwise interactions, but also by higher-order (group) interactions influencing collective phenomena, from metabolic reactions to epidemics. Nevertheless, higher-order networks'…

Physics and Society · Physics 2026-01-01 Maxime Lucas , Luca Gallo , Arsham Ghavasieh , Federico Battiston , Manlio De Domenico

People participate and activate in online social networks and thus tremendous amount of network data is generated; data regarding their interactions, interests and activities. Some people search for specific questions through online social…

Social and Information Networks · Computer Science 2019-01-23 Mohsen Shahriari , Ralf Klamma , Matthias Jarke

Networks are a fundamental model of complex systems throughout the sciences, and network datasets are typically analyzed through lower-order connectivity patterns described at the level of individual nodes and edges. However, higher-order…

Social and Information Networks · Computer Science 2018-02-21 Austin R. Benson

Vertex classification -- the problem of identifying the class labels of nodes in a graph -- has applicability in a wide variety of domains. Examples include classifying subject areas of papers in citation networks or roles of machines in a…

Social and Information Networks · Computer Science 2023-08-11 Benjamin A. Miller , Kevin Chan , Tina Eliassi-Rad

Identifying influential nodes in complex networks is a critical task with a wide range of applications across different domains. However, existing approaches often face trade-offs between accuracy and computational efficiency. To address…

Social and Information Networks · Computer Science 2025-07-29 Mohammed A. Ramadhan , Abdulhakeem O. Mohammed

Identifying influential spreaders in complex networks is a critical challenge in network science, with broad applications in disease control, information dissemination, and influence analysis in social networks. The gravity model, a…

Computational Engineering, Finance, and Science · Computer Science 2024-11-27 Jiaxun Li , Yonghou He , Zhefan Dong , Li Tao

A classic network tomography problem is estimation of properties of the distribution of route traffic volumes based on counts taken on the network links. We consider inference for a general class of models for integer-valued traffic. Model…

Methodology · Statistics 2015-06-03 Martin L. Hazelton

In view of the node importance in weighted networks, weighted expected method (WEM), was proposed in this paper, which take an advantages of uncertain graph algorithm. First, a weight processing method is proposed based on the relationship…

Social and Information Networks · Computer Science 2021-11-23 Linjie Chen , Na Zhao , Jie Li , Zhen Long , Ming Jing , Jian Wang
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