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Some New Upper Bounds for the Y‐Index of Graphs

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  • Durbar Maji
  • Ganesh Ghorai
  • Faria Ahmed Shami

Abstract

In mathematical chemistry, the topological indices with highly correlation factor play a leading role specifically for developing crucial information in QSPR/QSAR analysis. Recently, there exists a new graph invariant, namely, Y‐index of graph proposed by Alameri as the sum of the fourth power of each and every vertex degree of that graph. The approximate range of the descriptors is determined by obtaining the bounds for the topological indices of graphs. In this paper, firstly, some upper bounds for the Y‐index on trees with several types of domination number are studied. Secondly, some new bounds are also presented for this index of graphs in terms of relevant parameters with other topological indices. Additionally, a new idea on bounds for the Y‐index by applying binary graph operations is computed.

Suggested Citation

  • Durbar Maji & Ganesh Ghorai & Faria Ahmed Shami, 2022. "Some New Upper Bounds for the Y‐Index of Graphs," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:4346234
    DOI: 10.1155/2022/4346234
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    References listed on IDEAS

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    1. Durbar Maji & Ganesh Ghorai & Muhammad Khalid Mahmood & Md. Ashraful Alam & Lazim Abdullah, 2021. "On the Inverse Problem for Some Topological Indices," Journal of Mathematics, Hindawi, vol. 2021, pages 1-8, November.
    2. Borovićanin, Bojana & Furtula, Boris, 2016. "On extremal Zagreb indices of trees with given domination number," Applied Mathematics and Computation, Elsevier, vol. 279(C), pages 208-218.
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    Cited by:

    1. T. Anuradha & T. Lakshmi Surekha & Praveena Nuthakki & Bullarao Domathoti & Ganesh Ghorai & Faria Ahmed Shami, 2022. "Graph Theory Algorithms of Hamiltonian Cycle from Quasi‐Spanning Tree and Domination Based on Vizing Conjecture," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).

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