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When analyzing the statistical and topological characteristics of complex networks, an effective and convenient way is to compute the centralities for recognizing influential and significant nodes or structures, yet most of them are…

Social and Information Networks · Computer Science 2018-05-08 Xiangnan Feng , Wei Wei , Jiannan Wang , Ying Shi , Zhiming Zheng

Co-authorship graphs (that is, the graph of authors linked by co-authorship of papers) are complex networks, which expresses the dynamics of a complex system. Only recently its study has started to draw interest from the EC community, the…

Computers and Society · Computer Science 2007-08-16 Juan J. Merelo , Carlos Cotta

Edge centrality measures are functions that evaluate the importance of edges in a network. They can be used to assess the role of a backlink for the popularity of a website as well as the importance of a flight in virus spreading. Various…

Social and Information Networks · Computer Science 2021-12-09 Natalia Kucharczuk , Tomasz Was , Oskar Skibski

Classic measures of graph centrality capture distinct aspects of node importance, from the local (e.g., degree) to the global (e.g., closeness). Here we exploit the connection between diffusion and geometry to introduce a multiscale…

Physics and Society · Physics 2020-07-29 Alexis Arnaudon , Robert L. Peach , Mauricio Barahona

As relational datasets modeled as graphs keep increasing in size and their data-acquisition is permeated by uncertainty, graph-based analysis techniques can become computationally and conceptually challenging. In particular, node centrality…

Social and Information Networks · Computer Science 2020-03-10 Marco Avella-Medina , Francesca Parise , Michael T. Schaub , Santiago Segarra

Knowledge graphs play a central role for linking different data which leads to multiple layers. Thus, they are widely used in big data integration, especially for connecting data from different domains. Few studies have investigated the…

Social and Information Networks · Computer Science 2022-03-18 Jens Dörpinghaus , Vera Weil , Carsten Düing , Martin W. Sommer

Centrality is widely recognized as one of the most critical measures to provide insight in the structure and function of complex networks. While various centrality measures have been proposed for single-layer networks, a general framework…

Physics and Society · Physics 2019-02-08 Mincheng Wu , Shibo He , Yongtao Zhang , Jiming Chen , Youxian Sun , Yang-Yu Liu , Junshan Zhang , H. Vincent Poor

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

Centrality descriptors are widely used to rank nodes according to specific concept(s) of importance. Despite the large number of centrality measures available nowadays, it is still poorly understood how to identify the node which can be…

Methodology · Statistics 2020-01-13 Giulia Bertagnolli , Claudio Agostinelli , Manlio De Domenico

Distributed algorithms for network science applications are of great importance due to today's large real-world networks. In such algorithms, a node is allowed only to have local interactions with its immediate neighbors. This is because…

Social and Information Networks · Computer Science 2019-06-21 Hamidreza Mahyar , Rouzbeh Hasheminezhad , H Eugene Stanley

Identifying influential nodes in a network is a major issue due to the great deal of applications concerned, such as disease spreading and rumor dynamics. That is why, a plethora of centrality measures has emerged over the years in order to…

Social and Information Networks · Computer Science 2023-01-04 Ahmed Ibnoulouafi , Mohamed El Haziti , Hocine Cherifi

This work deals with the issue of assessing the influence of a node in the entire network and in the subnetwork to which it belongs as well, adapting the classical idea of vertex centrality. We provide a general definition of relative…

Physics and Society · Physics 2019-11-21 Roy Cerqueti , Gian Paolo Clemente , Rosanna Grassi

Semantic networks qualify the meaning of an edge relating any two vertices. Determining which vertices are most "central" in a semantic network is difficult because one relationship type may be deemed subjectively more important than…

Artificial Intelligence · Computer Science 2008-09-11 Marko A. Rodriguez

Measuring the importance of nodes in a network with a centrality measure is a core task in any network application. There are many measures available and it is speculated that many encode similar information. We give an explicit non-linear…

Physics and Society · Physics 2022-07-05 Tim S. Evans , Bingsheng Chen

Network metrics form a fundamental part of the network analysis toolbox. Used to quantitatively measure different aspects of the network, these metrics can give insights into the underlying network structure and function. In this work, we…

Machine Learning · Statistics 2015-06-04 Harold Soh

Vital nodes identification is an essential problem in network science. Various methods have been proposed to solve this problem. In particular, based on the gravity model, a series of improved gravity models are proposed to find vital nodes…

Social and Information Networks · Computer Science 2022-06-02 Hanwen Li , Qiuyan Shang , Yong Deng

Identifying important nodes for disease spreading is a central topic in network epidemiology. We investigate how well the position of a node, characterized by standard network measures, can predict its epidemiological importance in any…

Populations and Evolution · Quantitative Biology 2020-07-28 Doina Bucur , Petter Holme

A number of recent works have concentrated on a few statistical properties of complex networks, such as the clustering, the right-skewed degree distribution and the community, which are common to many real world networks. In this paper, we…

Physics and Society · Physics 2007-05-23 Huijie Yang , Wenxu Wang , Tao Zhou , Binghong ang , Fangcui Zhao

The study of the topological structure of complex networks has fascinated researchers for several decades, and today we have a fairly good understanding of the types and reoccurring characteristics of many different complex networks.…

Social and Information Networks · Computer Science 2014-06-23 Matthieu Roy , Stefan Schmid , Gilles Trédan

Centrality metrics aim to identify the most relevant nodes in a network. In literature, a broad set of metrics exists, either measuring local or global centrality characteristics. Nevertheless, when networks exhibit a high spectral gap, the…

Physics and Society · Physics 2025-10-20 Lorenzo Costantini , Carla Sciarra , Luca Ridolfi , Francesco Laio
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