• P-ISSN 0974-6846 E-ISSN 0974-5645

Indian Journal of Science and Technology


Indian Journal of Science and Technology

Year: 2023, Volume: 16, Issue: 39, Pages: 3325-3331

Original Article

Mathematical Perspectives of Leverage Centrality: A Review

Received Date:02 June 2023, Accepted Date:22 September 2023, Published Date:17 October 2023


Objectives: In complex networks, the identification of key regions is determined through centrality measures. There are various centrality measures in which leverage centrality is specially designed for neural networks. In this article, we review all the recent research works on leverage centrality, focusing mainly on its mathematical perspective. Further, our present research work and the future scope of leverage centrality are given. Methods: For this systematic review, we referred all the relevant articles in this area from 2019 to till present. Findings: Leverage centrality analysis of some infrastructure networks and group leverage centrality are recently investigated. At the application level, leverage centrality has been used in the analysis of functional magnetic resonance imaging (fMRI) data, and real-world networks including airline connections, electrical power grids, co-authorship collaborations, molecular interaction networks, and sparse complex networks. Novelty: Brain networks have demonstrated hierarchical structure and may be decomposed into modules or neighborhoods of nodes that perform similar processes. A novel centrality metric called leverage centrality proposed by Joyce et al. may be of particular use in such hierarchical networks as an aid in identifying hubs, nodes that are important to maintaining local topological structure.

Keywords: Centrality Measure, Neural Network, Fmri, Hubs, Group Leverage Centrality


  1. Panditrao G, Bhowmick R, Meena C, Sarkar RR. Emerging landscape of molecular interaction networks: Opportunities, challenges and prospects. Journal of Biosciences. 2022;47(2):24. Available from: https://doi.org/10.1007/s12038-022-00253-y
  2. Oldham S, Fulcher B, Parkes L, Arnatkeviciute A, Suo C, Fornito A. Consistency and differences between centrality measures across distinct classes of networks. PLOS ONE. 2019;14(7):e0220061. Available from: https://doi.org/10.1371/journal.pone.0220061
  3. Zhao S, Sun S. Identification of node centrality based on Laplacian energy of networks. Physica A: Statistical Mechanics and its Applications. 2023;609:128353. Available from: https://doi.org/10.1016/j.physa.2022.128353
  4. Shanmugam DB, Anuradha K, Sridevi B, Kavitha M, Pradeep S. Streamlining node centrality through using machine learning. Turkish Online Journal of Qualitative Inquiry. 2021;12(3). Available from: https://www.tojqi.net/index.php/journal/article/view/2061
  5. Berahmand K, Bouyer A, Samadi N. A new local and multidimensional ranking measure to detect spreaders in social networks. Computing. 2019;101(11):1711–1733. Available from: https://doi.org/10.1007/s00607-018-0684-8
  6. Ersen BM. Leverage centrality analysis of infrastructure networks. Numerical Methods for Partial Differential Equations. 2020. Available from: https://doi.org/10.1002/num.22551
  7. Gupta A, Balaji H, Sundareswaran R, Mahesh V, Geetanjali B. Group Leverage Centrality and its Applications in Brain Networks. IOP Conference Series: Materials Science and Engineering. 2021;1187(1):012001. Available from: https://doi.org/10.1088/1757-899X/1187/1/012001
  8. Suyudi M, Adli FI, Supriatna AK. Application of Centrality Measures in Determining Regional Development Priorities in the Graph Representation of Kalimantan Island. International Journal of Global Operations Research. 2022;3(1):9–14. Available from: https://www.iorajournal.org/index.php/ijgor/article/view/119/98


© 2023 Sukumaran & Unnithan. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)


Subscribe now for latest articles and news.