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The Y-Index of Some Complement Graph Structures and Their Applications of Nanotubes and Nanotorus

Author

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  • Mohammed Alsharafi
  • Abdu Alameri
  • Yusuf Zeren
  • Mahioub Shubatah
  • Anwar Alwardi
  • G. Muhiuddin

Abstract

Topological descriptors play a significant role in chemical nanostructures. These topological measures have explicit chemical uses in chemistry, medicine, biology, and computer sciences. This study calculates the Y-index of some graphs and complements graph operations such as join, tensor and Cartesian and strong products, composition, disjunction, and symmetric difference between two simple graphs. Moreover, the Y-polynomial of titania nanotubes and the formulae for the Y-index, Y-polynomial, F-index, F-polynomial, and Y-coindex of the HAC5C7q,p and HAC5C6C7q,p nanotubes and their molecular complement graphs have been investigated.

Suggested Citation

  • Mohammed Alsharafi & Abdu Alameri & Yusuf Zeren & Mahioub Shubatah & Anwar Alwardi & G. Muhiuddin, 2024. "The Y-Index of Some Complement Graph Structures and Their Applications of Nanotubes and Nanotorus," Journal of Mathematics, Hindawi, vol. 2024, pages 1-17, January.
  • Handle: RePEc:hin:jjmath:4269325
    DOI: 10.1155/2024/4269325
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