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
Note : A published paper may take 4-5 working days from the publication date to appear in PlumX Metrics, Semantic Scholar, and ResearchGate.
Note : Google Scholar may take 30 to 40 days to display the article.
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 :
- https://worldpopulationreview.com/cities/india/delhi
- https://delhimetrorail.com/pages/en/introduction
- https://delhimetrorail.com/pages/en/funding
- Advani, M., & Tiwari, G. (2005). Evaluation of public transport systems: case study of Delhi Metro. Transportation Research & Injury Prevention Programme, 1.
- Biradar, Ambika (2020). Topological Indices of Semigraph. International Journal of Engineering and Advanced Technology, 9(3), 1382-1384.
- Gutman, I., Li, X., & Zhang, J. (2009). Graph energy. Analysis of Complex Networks: From Biology to Linguistics, 145-174.
- Gutman, I., & Trinajstić, N. (2005). Graph theory and molecular orbitals. In New concepts II (pp. 49-93). Berlin, Heidelberg: Springer Berlin Heidelberg.
- Somani, R. P., & Jethwani, V. (2023). Introducing new exponential Gourava indices for graphs. International Journal of Mathematics and Statistics Invention, 11(3), 1-5.
- 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.
- Todeschini, R., & Consonni, V. (2009). Molecular descriptors for chemoinformatics: volume I: alphabetical listing/volume II: appendices, references. John Wiley & Sons.
- 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.