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

Mahmoud Elmezain, Ebtesam A. Othman and Hani M. Ibrahim
Additional contact information
Mahmoud Elmezain: Computer Science Division, Faculty of Science, Tanta University, Tanta 31527, Egypt
Ebtesam A. Othman: Mathematics & Computer Science Department, Faculty of Science, Menoufiya University, Menoufia 32511, Egypt
Hani M. Ibrahim: Faculty of Science and Computer Engineering, Taibah University, Yanbu 966144, Saudi Arabia

Mathematics, 2021, vol. 9, issue 22, 1-14

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.

Keywords: social network analysis; time-ordered weighted graph; centrality measures; temporal degree centrality; temporal closeness centrality; temporal degree-degree; temporal closeness-closeness (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/9/22/2850/pdf (application/pdf)
https://www.mdpi.com/2227-7390/9/22/2850/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:9:y:2021:i:22:p:2850-:d:676003

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().