Topological Indices and Connectivity Indices of Delhi Metro Rail Corporation


Authors : RP Somani; Farhan Akhtar

Volume/Issue : Volume 10 - 2025, Issue 9 - September


Google Scholar : https://tinyurl.com/ycxa98p2

Scribd : https://tinyurl.com/352b4dnm

DOI : https://doi.org/10.38124/ijisrt/25sep854

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Abstract : New Delhi is the capital of India and a highly dense area in India. Many people travel from their homes to their corresponding offices, colleges, and factories. A well-connected public transport network is required for this purpose. The well-connected metro rail network is significant for economic growth and public transport. From time to time, expand this network for future traffic load. In this paper, we calculate several topological and connectivity indices, graph energy for the DMRC (Delhi Metro Rail Corporation) phase I and phase II, to understand how these quantities can improve the DMRC network and find a connection between them, if any.

Keywords : Topological Indices, Zagreb Indices, Connectivity Indices Alpha, Beta, and Gamma, Graph Energy, DMRC.

References :

  1. https://worldpopulationreview.com/cities/india/delhi
  2. https://delhimetrorail.com/pages/en/introduction
  3. https://delhimetrorail.com/pages/en/funding
  4. Advani, M., & Tiwari, G. (2005). Evaluation of public transport systems: case study of Delhi Metro. Transportation Research & Injury Prevention Programme1.
  5. Biradar, Ambika (2020). Topological Indices of Semigraph. International Journal of Engineering and Advanced Technology, 9(3), 1382-1384.
  6. Gutman, I., Li, X., & Zhang, J. (2009). Graph energy. Analysis of Complex Networks: From Biology to Linguistics, 145-174.
  7. Gutman, I., & Trinajstić, N. (2005). Graph theory and molecular orbitals. In New concepts II (pp. 49-93). Berlin, Heidelberg: Springer Berlin Heidelberg.
  8. Somani, R. P., & Jethwani, V. (2023). Introducing new exponential Gourava indices for graphs. International Journal of Mathematics and Statistics Invention11(3), 1-5.
  9. Somani, R., Jethwani, V. (2023). Some new graph operations and their first and second Zagreb and Gourava indices. Journal of Emerging Technologies and Innovative Research 10(8), d567-d577.
  10. Todeschini, R., & Consonni, V. (2009). Molecular descriptors for chemoinformatics: volume I: alphabetical listing/volume II: appendices, references. John Wiley & Sons.
  11. West, D. B. (2001). Introduction to graph theory (Vol. 2, pp. 1-512). Upper Saddle River: Prentice hall.

New Delhi is the capital of India and a highly dense area in India. Many people travel from their homes to their corresponding offices, colleges, and factories. A well-connected public transport network is required for this purpose. The well-connected metro rail network is significant for economic growth and public transport. From time to time, expand this network for future traffic load. In this paper, we calculate several topological and connectivity indices, graph energy for the DMRC (Delhi Metro Rail Corporation) phase I and phase II, to understand how these quantities can improve the DMRC network and find a connection between them, if any.

Keywords : Topological Indices, Zagreb Indices, Connectivity Indices Alpha, Beta, and Gamma, Graph Energy, DMRC.

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Paper Submission Last Date
31 - December - 2025

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