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Related papers: Hirsch index as a network centrality measure

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The Hirsch index (commonly referred to as h-index) is a bibliometric indicator which is widely recognized as effective for measuring the scientific production of a scholar since it summarizes size and impact of the research output. In a…

Statistics Theory · Mathematics 2014-07-29 Luca Pratelli , Alberto Baccini , Lucio Barabesi , Marzia Marcheselli

Centrality is a key property of complex networks that influences the behavior of dynamical processes, like synchronization and epidemic spreading, and can bring important information about the organization of complex systems, like our brain…

Physics and Society · Physics 2019-01-24 Francisco Aparecido Rodrigues

Many real world systems can be expressed as complex networks of interconnected nodes. It is frequently important to be able to quantify the relative importance of the various nodes in the network, a task accomplished by defining some…

Physics and Society · Physics 2016-08-08 José Ricardo Furlan Ronqui , Gonzalo Travieso

The determination of node centrality is a fundamental topic in social network studies. As an addition to established metrics, which identify central nodes based on their brokerage power, the number and weight of their connections, and the…

Social and Information Networks · Computer Science 2020-05-26 A. Fronzetti Colladon , M. Naldi

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

Centrality measures, erstwhile popular amongst the sociologists and psychologists, have seen broad and increasing applications across several disciplines of late. Amongst a plethora of application specific definitions available in the…

Social and Information Networks · Computer Science 2017-03-23 Rishi Ranjan Singh , Shubham Chaudhary , Manas Agarwal

Complex networks or graphs provide a powerful framework to understand importance of individuals and their interactions in real-world complex systems. Several graph theoretical measures have been introduced to access importance of the…

Physics and Society · Physics 2020-04-08 Priodyuti Pradhan , Angeliya C. U. , Sarika Jalan

Today, there exist many centrality measures for assessing the importance of nodes in a network as a function of their position and the underlying topology. One class of such measures builds on eigenvector centrality, where the importance of…

Social and Information Networks · Computer Science 2020-02-28 James B Glattfelder

The concept of 'complexity' plays a central role in complex network science. Traditionally, this term has been taken to express heterogeneity of the node degrees of a therefore complex network. However, given that the degree distribution is…

Physics and Society · Physics 2021-07-01 Éverton F. da Cunha , Luciano da F. Costa

The purpose of the research is to find a centrality measure that can be used in place of PageRank and to find out the conditions where we can use it in place of PageRank. After analysis and comparison of graphs with a large number of nodes…

Social and Information Networks · Computer Science 2022-01-24 Suvarna Saumya Chandrashekhar , Mashrin Srivastava , B. Jaganathan , Pankaj Shukla

Community search is a personalized community discovery problem aimed at finding densely-connected subgraphs containing the query vertex. In particular, the search for communities with high-importance vertices has recently received a great…

Social and Information Networks · Computer Science 2023-08-28 Yanghao Liu , Fangda Guo , Bingbing Xu , Peng Bao , Huawei Shen , Xueqi Cheng

Centrality is an important notion in network analysis and is used to measure the degree to which network structure contributes to the importance of a node in a network. While many different centrality measures exist, most of them apply to…

Computers and Society · Computer Science 2010-06-04 Kristina Lerman , Rumi Ghosh , Jeon Hyung Kang

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

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

We compare the social character networks of biographical, legendary and fictional texts, in search for marks of genre differentiation. We examine the degree distribution of character appearance and find a power law that does not depend on…

Social and Information Networks · Computer Science 2018-10-16 Adriano J. Holanda , Mariane Matias , Sueli M. S. P. Ferreira , Gisele M. L. Benevides , Osame Kinouchi

In the analysis of complex networks, centrality measures and community structures play pivotal roles. For multilayer networks, a critical challenge lies in effectively integrating information across diverse layers while accounting for the…

Methodology · Statistics 2025-03-28 Zhuoye Han , Tiandong Wang , Zhiliang Ying

We propose a new node centrality measure in networks, the lobby index, which is inspired by Hirsch's h-index. It is shown that in scale free networks the l-index has power tail with exponent square of the exponent of the degree distribution…

Physics and Society · Physics 2009-11-13 A. Korn , A. Schubert , A. Telcs

Similarity index measures the topological proximity of node pairs in a complex network. Numerous similarity indices have been defined and investigated, but the dependency of structure on the performance of similarity indices has not been…

Physics and Society · Physics 2018-12-05 Min-Woo Ahn , Woo-Sung Jung

Recently an increasing amount of research is devoted to the question of how the most influential nodes (seeds) can be found effectively in a complex network. There are a number of measures proposed for this purpose, for instance,…

Social and Information Networks · Computer Science 2015-05-19 Amir Sheikhahmadi , Mohammad A. Nematbakhsh , Arman Shokrollahi

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