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Evaluating node influence is fundamental for identifying key nodes in complex networks. Existing methods typically rely on generic indicators to rank node influence across diverse networks, thereby ignoring the individualized features of…

Social and Information Networks · Computer Science 2024-05-14 Bingyu Zhu , Qingyun Sun , Jianxin Li , Daqing Li

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

Graph centrality measures use the structure of a network to quantify central or "important" nodes, with applications in web search, social media analysis, and graphical data mining generally. Traditional centrality measures such as the well…

Social and Information Networks · Computer Science 2021-01-20 Liang Lyu , Brandon Fain , Kamesh Munagala , Kangning Wang

Closeness centrality is one way of measuring how central a node is in the given network. The closeness centrality measure assigns a centrality value to each node based on its accessibility to the whole network. In real life applications, we…

Social and Information Networks · Computer Science 2017-06-08 Akrati Saxena , Ralucca Gera , S. R. S. Iyengar

The centrality in a network is often used to measure nodes' importance and model network effects on a certain outcome. Empirical studies widely adopt a two-stage procedure, which first estimates the centrality from the observed noisy…

Econometrics · Economics 2025-02-26 Junhui Cai , Dan Yang , Ran Chen , Wu Zhu , Haipeng Shen , Linda Zhao

Networks are useful for describing systems of interacting objects, where the nodes represent the objects and the edges represent the interactions between them. The applications include chemical and metabolic systems, food webs as well as…

Computational Physics · Physics 2009-10-20 Baruch Barzel , Ofer Biham

Centrality measures have been defined to quantify the importance of a node in complex networks. The relative importance of a node can be measured using its centrality rank based on the centrality value. In the present work, we predict the…

Social and Information Networks · Computer Science 2016-11-29 Akrati Saxena , Vaibhav Malik , S. R. S. Iyengar

Cycles are ubiquitous in various networks such as social, biological, and technological systems, where they play a significant functional and dynamical role. This paper proposes a node similarity measure based on minimal simple cycles,…

Physics and Society · Physics 2026-01-30 Bo Yang

The identification of influential spreaders in complex networks is a popular topic in studies of network characteristics. Many centrality measures have been proposed to address this problem, but most have limitations. In this paper, a…

Social and Information Networks · Computer Science 2019-10-08 Tao Wen , Yong Deng

Identifying the most influential nodes in information networks has been the focus of many research studies. This problem has crucial applications in various contexts, such as controlling the propagation of viruses or rumours in real-world…

Social and Information Networks · Computer Science 2022-08-30 Ahmad Asgharian Rezaei , Justin Munoz , Mahdi Jalili , Hamid Khayyam

Vital nodes usually play a key role in complex networks. Uncovering these nodes is an important task in protecting the network, especially when the network suffers intentional attack. Many existing methods have not fully integrated the node…

Social and Information Networks · Computer Science 2025-09-24 Huaizhi Liao , Tian Qiu , Guang Chen

The problem of assigning centrality values to nodes and edges in graphs has been widely investigated during last years. Recently, a novel measure of node centrality has been proposed, called k-path centrality index, which is based on the…

Social and Information Networks · Computer Science 2013-03-08 Pasquale De Meo , Emilio Ferrara , Giacomo Fiumara , Angela Ricciardello

A new method for identifying communities in networks is proposed. Reference nodes, either selected using a priory information about the network or according to relevant node measurements, are obtained so as to indicate putative communities.…

Social and Information Networks · Computer Science 2019-11-06 Paulo J. P. de Souza , Cesar H. Comin , Luciano da F. Costa

Identifying influential nodes in a network is a fundamental issue due to its wide applications, such as accelerating information diffusion or halting virus spreading. Many measures based on the network topology have emerged over the years…

Social and Information Networks · Computer Science 2022-12-26 Zakariya Ghalmane , Mohammed El Hassouni , Chantal Cherifi , Hocine Cherifi

A key measure that has been used extensively in analyzing complex networks is the degree of a node (the number of the node's neighbors). Because of its discrete nature, when the degree measure was used in analyzing weighted networks,…

Physics and Society · Physics 2009-04-15 Sherief Abdallah

Influential nodes play a critical role in boosting or curbing spreading phenomena in complex networks. Numerous centrality measures have been proposed for identifying and ranking the nodes according to their importance. Classical centrality…

Social and Information Networks · Computer Science 2022-05-17 Stephany Rajeh , Marinette Savonnet , Eric Leclercq , Hocine Cherifi

for representing, characterizing, and modeling an ample range of structures and phenomena from both theoretical and applied perspectives. The present work describes the application of the recently introduced real-valued Jaccard and…

Physics and Society · Physics 2021-11-23 Luciano da F. Costa

A new method for identifying soft communities in networks is proposed. Reference nodes, either selected using a priori information about the network or according to relevant node measurements, are obtained. Distance vectors between each…

Physics and Society · Physics 2018-02-05 Paulo J. P. de Souza , Cesar H. Comin , Luciano da F. Costa

Ranking nodes in networks according to a defined measure of importance is an extensively studied task, with applications in ecology, economic trade networks, and social networks. This paper introduces a method based on a non-linear…

Statistical Mechanics · Physics 2025-04-01 Andrea Mazzolini , Michele Caselle , Matteo Osella

From many datasets gathered in online social networks, well defined community structures have been observed. A large number of users participate in these networks and the size of the resulting graphs poses computational challenges. There is…

Social and Information Networks · Computer Science 2014-01-15 Alexander V. Mantzaris
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