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Extremal Trees for the Exponential of Forgotten Topological Index

Author

Listed:
  • Akbar Jahanbani
  • Murat Cancan
  • Ruhollah Motamedi
  • M. T. Rahim

Abstract

Let F be the forgotten topological index of a graph G. The exponential of the forgotten topological index is defined as eFG=∑x,y∈Stx,yGex2+y2, where tx,yG is the number of edges joining vertices of degree x and y. Let Tn be the set of trees with n vertices; then, in this paper, we will show that the path Pn has the minimum value for eF over Tn.

Suggested Citation

  • Akbar Jahanbani & Murat Cancan & Ruhollah Motamedi & M. T. Rahim, 2022. "Extremal Trees for the Exponential of Forgotten Topological Index," Journal of Mathematics, Hindawi, vol. 2022, pages 1-8, February.
    • Handle: RePEc:hin:jjmath:7455701
    DOI: 10.1155/2022/7455701
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    Cited by:

    1. Ni, Zi-hao & Li, Fa-she & Wang, Hua & Xiao, Hei, 2022. "Prediction of physical parameters of Jatropha biodiesel-ethanol dual fuel based on topological indices," Applied Energy, Elsevier, vol. 328(C).

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