Graphical Invariants for some Transformed Networks

Authors

  • Nawaf Ali College of Engineering and Technology, /American University of the Middle East, Egaila 54200, Kuwait
  • Tarek Khalifa College of Engineering and Technology, American University of the Middle East, Egaila 54200, Kuwait;
  • Hifza Iqbal The University of Lahore, Lahore, Pakistan
  • Muhammad Haroon Aftab The University of Lahore, Lahore, Pakistan https://orcid.org/0000-0001-6441-2133
  • Kamel Jebreen Palestine Technical University-Kadoorie
  • Humira Jamil The University of Lahore, Lahore, Pakistan
  • Hassan Kanj College of Engineering and Technology, American University of the Middle East, Egaila 54200, Kuwait;

DOI:

https://doi.org/10.29020/nybg.ejpam.v17i2.5078

Keywords:

Topological Indices, Concealled Non-Kekulean Benezenoid Hydrocarbon, Sum Connectivity Index, General Sum Connectivity Index, Atomic Bond Connectivity Index, Geometric Arithmetic Index

Abstract

A topological index is a numerical character associated with a graph that is invariant under graph isomorphism and describe the graphs topology. There are several graph operations that may be used to change it into a new structure, such as constructing a stellation, bounded dual, complement, subdivided, line graph, minor, dual, and medial. In this paper, we construct transformed networks from the concealled non-kekulean benzenoid hydrocarbon structure by applying stellation and bounded dual operations, further we study their degree based topological properties by appropriately labeling the graph. Degree based topological indices are playing significant role among other types of indices in chemical, pharmaceutical and bio-informatics industry, since they correlate the structure with its physicochemical properties.

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Published

2024-04-30

Issue

Vol. 17 No. 2: (April 2024)

Section

Nonlinear Analysis

License

Copyright (c) 2024 European Journal of Pure and Applied Mathematics

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How to Cite

Graphical Invariants for some Transformed Networks. (2024). European Journal of Pure and Applied Mathematics, 17(2), 690-709. https://doi.org/10.29020/nybg.ejpam.v17i2.5078