On the Wiener index and the hyper-Wiener index of the Kragujevac trees

Authors

  • Abbas Heydari Arak University of Technology.

DOI:

https://doi.org/10.22199/issn.0717-6279-4804

Keywords:

Wiener index, Hyper-Wiener index, Kragujevac tree

Abstract

In this paper, the Wiener index and the hyper-Wiener index of the Kragujevac trees is computed in term of its vertex degrees. As application, we obtain an upper bond and a lower bound for the Wiener index and the hyper-Wiener index of these trees.

Author Biography

Abbas Heydari, Arak University of Technology.

Department of Science.

References

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R. Cruz, I. Gutman and J. Rada, “Topological indices of Kragujevac tres”, Proyecciones (Antofagasta), vol. 33, no. 4, pp. 471-482, 2014. https://doi.org/10.4067/S0716-09172014000400008

B. Furtula, I. Gutman, M. Ivanović and D. Vukićevi, “Computer search for trees with minimal ABC index”, Applied Mathematics and Computation, vol. 219, pp. 767-772, 2012. https://doi.org/10.1016/j.amc.2012.06.075

I. Gutman and B. Furtula, “Trees with smallest atom-bond connectivity index”, MATCH Communications in Mathematical and in Computer Chemistry, vol. 68, pp. 131-136, 2012. [On line]. Available: https://bit.ly/41gWmnW

I. Gutman, B. Furtula and M. Ivanović, “Notes on trees with minimal atom-bond connectivity index”, MATCH Communications in Mathematical and in Computer Chemistry, vol. 67, pp. 467-482, 2012. [On line]. Available: https://bit.ly/3M6cNPK

Published

2023-05-15

How to Cite

[1]
A. Heydari, “On the Wiener index and the hyper-Wiener index of the Kragujevac trees”, Proyecciones (Antofagasta, On line), vol. 42, no. 3, pp. 727-739, May 2023.

Issue

Vol. 42 No. 3 (2023)

Section

Artículos

Copyright (c) 2023 Abbas Heydari

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