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Measures of complex network analysis, such as vertex centrality, have the potential to unveil existing network patterns and behaviors. They contribute to the understanding of networks and their components by analyzing their structural…

Social and Information Networks · Computer Science 2018-11-06 Felipe Grando , Diego Noble , Luis C. Lamb

Given a social network, which of its nodes are more central? This question has been asked many times in sociology, psychology and computer science, and a whole plethora of centrality measures (a.k.a. centrality indices, or rankings) were…

Social and Information Networks · Computer Science 2013-11-08 Paolo Boldi , Sebastiano Vigna

Phylogenetic networks which are, as opposed to trees, suitable to describe processes like hybridization and horizontal gene transfer, play a substantial role in evolutionary research. However, while non-treelike events need to be taken into…

Populations and Evolution · Quantitative Biology 2022-07-06 Mareike Fischer , Tom Niklas Hamann , Kristina Wicke

In real world complex networks, the importance of a node depends on two important parameters: 1. characteristics of the node, and 2. the context of the given application. The current literature contains several centrality measures that have…

Social and Information Networks · Computer Science 2017-11-01 Akrati Saxena , S. R. S. Iyengar

The degree centrality of a node, defined as the number of nodes adjacent to it, is often used as a measure of importance of a node to the structure of a network. This metric can be extended to paths in a network, where the degree centrality…

Data Structures and Algorithms · Computer Science 2025-12-19 Johnson Phosavanh , Dmytro Matsypura

In complex scale-free networks, ranking the individual nodes based upon their importance has useful applications, such as the identification of hubs for epidemic control, or bottlenecks for controlling traffic congestion. However, in most…

Physics and Society · Physics 2007-05-23 Pan-Jun Kim , Hawoong Jeong

In graph theory and network analysis, node degree is defined as a simple but powerful centrality to measure the local influence of node in a complex network. Preferential attachment based on node degree has been widely adopted for modeling…

Social and Information Networks · Computer Science 2021-03-02 Jiaojiao Jiang , Sanjay Jha

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

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

Many real networks in social sciences, biological and biomedical sciences or computer science have an inherent structure of simplicial complexes reflecting many-body interactions. Therefore, to analyse topological and dynamical properties…

Algebraic Topology · Mathematics 2020-04-16 Daniel Hernández Serrano , Darío Sánchez Gómez

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

Analyzing networks requires complex algorithms to extract meaningful information. Centrality metrics have shown to be correlated with the importance and loads of the nodes in network traffic. Here, we are interested in the problem of…

Data Structures and Algorithms · Computer Science 2013-03-05 Ahmet Erdem Sariyuce , Kamer Kaya , Erik Saule , Umit V. Catalyurek

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

Many systems, ranging from biological and engineering systems to social systems, can be modeled as directed networks, with links representing directed interaction between two nodes. To assess the importance of a node in a directed network,…

Physics and Society · Physics 2009-11-06 Naoki Masuda , Yoji Kawamura , Hiroshi Kori

Node centrality is one of the integral measures in network analysis with wide range of applications from socio-economic to personalized recommendation. We argue that an effective centrality measure should undertake stability even under…

Social and Information Networks · Computer Science 2019-01-01 Chandni Saxena , M. N. Doja , Tanvir Ahmad

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

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

Traditional measures of closeness and betweenness centrality in networks rely on the shortest paths between nodes. Many standard metrics fail to accurately reflect the physical or probabilistic characteristics of nodal centrality and…

Social and Information Networks · Computer Science 2026-02-09 Juuso Luhtala , Vesa Kuikka , Kimmo K. Kaski

Centrality of a node measures its relative importance within a network. There are a number of applications of centrality, including inferring the influence or success of an individual in a social network, and the resulting social network…

Social and Information Networks · Computer Science 2014-12-20 Yang Yang , Yuxiao Dong , Nitesh V. Chawla

Here we present a range-limited approach to centrality measures in both non-weighted and weighted directed complex networks. We introduce an efficient method that generates for every node and every edge its betweenness centrality based on…

Physics and Society · Physics 2011-11-24 Maria Ercsey-Ravasz , Ryan Lichtenwalter , Nitesh V. Chawla , Zoltan Toroczkai