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Temporal Degree-Degree and Closeness-Closeness: A New Centrality Metrics for Social Network Analysis

Mahmoud Elmezain, Ebtesam A. Othman, Hani M. Ibrahim

2021Mathematics34 citationsDOIOpen Access PDF

Abstract

In the area of network analysis, centrality metrics play an important role in defining the “most important” actors in a social network. However, nowadays, most types of networks are dynamic, meaning their topology changes over time. The connection weights and the strengths of social links between nodes are an important concept in a social network. The new centrality measures are proposed for weighted networks, which relies on a time-ordered weighted graph model, generalized temporal degree and closeness centrality. Furthermore, two measures—Temporal Degree-Degree and Temporal Closeness-Closeness—are employed to better understand the significance of nodes in weighted dynamic networks. Our study is caried out according to real dynamic weighted networks dataset of a university-based karate club. Through extensive experiments and discussions of the proposed metrics, our analysis proves that there is an effectiveness on the impact of each node throughout social networks.

Topics & Concepts

CentralityClosenessDegree (music)Computer scienceSocial network analysisBetweenness centralityNode (physics)Network scienceDynamic network analysisGraphSocial network (sociolinguistics)Network analysisNetwork controllabilityKatz centralityTheoretical computer scienceTopology (electrical circuits)Data miningComplex networkMathematicsStatisticsCombinatoricsComputer networkSocial mediaPhysicsWorld Wide WebAcousticsEngineeringQuantum mechanicsMathematical analysisStructural engineeringComplex Network Analysis TechniquesMental Health Research TopicsOpinion Dynamics and Social Influence