International Journal of Neutrosophic Science

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Volume 25 , Issue 3 , PP: 312-321, 2025 | Cite this article as | XML | Html | PDF | Full Length Article

Computation of Weighted PI Index of Lexicographic product graphs and for Silicates Networks

Hemalatha Rangasamy 1 * , Kanagasabapathi Somasundaram 2 , Sandhiya Pechimuthu 3

  • 1 Sri Eshwar College of Engineering, Coimbatore 641202, Tamil Nadu, India; Department of Mathematics, Amrita School of Physical Sciences, Coimbatore, Amrita Vishwa Vidyapeetham, India - (hemalatha.r@sece.ac.in)
  • 2 Department of Mathematics, Amrita School of Physical Sciences, Coimbatore, Amrita Vishwa Vidyapeetham, India - (s sundaram@cb.amrita.edu)
  • 3 Department of Mathematics, PSG Institute of Technology and Applied Research, Coimbatore, Tamil Nadu, India - (sandhiya@psgitech.ac.in)
  • Doi: https://doi.org/10.54216/IJNS.250328

    Received: March 14, 2024 Revised: June 08, 2024 Accepted: October 24, 2024
    Abstract

    The study of chemical compounds’ molecular structures is one of the most cutting-edge uses of graph theory,

    along with computer science, nanochemistry, network design in electrical and electronic engineering, and the

    depiction of graphs in Google Maps. The degree and distance between vertices of a graph are the basis for

    examining topological indices. The formula for computing the Weighted Padmakar Ivan index (WPI) of a

    graph G is

    PIw(G) = P e∈E(G)

    [(dG(u) + dG(v)][|V (G)| − NG(e)].

    Keywords :

    Path , Cycle , Complete graph , Weighted PI Index , Lexicographic Product , Silicate network

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    Cite This Article As :
    Rangasamy, Hemalatha. , Somasundaram, Kanagasabapathi. , Pechimuthu, Sandhiya. Computation of Weighted PI Index of Lexicographic product graphs and for Silicates Networks. International Journal of Neutrosophic Science, vol. , no. , 2025, pp. 312-321. DOI: https://doi.org/10.54216/IJNS.250328
    Rangasamy, H. Somasundaram, K. Pechimuthu, S. (2025). Computation of Weighted PI Index of Lexicographic product graphs and for Silicates Networks. International Journal of Neutrosophic Science, (), 312-321. DOI: https://doi.org/10.54216/IJNS.250328
    Rangasamy, Hemalatha. Somasundaram, Kanagasabapathi. Pechimuthu, Sandhiya. Computation of Weighted PI Index of Lexicographic product graphs and for Silicates Networks. International Journal of Neutrosophic Science , no. (2025): 312-321. DOI: https://doi.org/10.54216/IJNS.250328
    Rangasamy, H. , Somasundaram, K. , Pechimuthu, S. (2025) . Computation of Weighted PI Index of Lexicographic product graphs and for Silicates Networks. International Journal of Neutrosophic Science , () , 312-321 . DOI: https://doi.org/10.54216/IJNS.250328
    Rangasamy H. , Somasundaram K. , Pechimuthu S. [2025]. Computation of Weighted PI Index of Lexicographic product graphs and for Silicates Networks. International Journal of Neutrosophic Science. (): 312-321. DOI: https://doi.org/10.54216/IJNS.250328
    Rangasamy, H. Somasundaram, K. Pechimuthu, S. "Computation of Weighted PI Index of Lexicographic product graphs and for Silicates Networks," International Journal of Neutrosophic Science, vol. , no. , pp. 312-321, 2025. DOI: https://doi.org/10.54216/IJNS.250328