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Archives › Volume 11, Number 5 (2021)

J. Math. Comput. Sci. 11 (2021), 6018–6044

The first entire Zagreb index of various corona products and their bounds

Durbar Maji, Ganesh Ghorai

Abstract

The First Entire Zagreb Index (FEZI) of a (molecular) graph was introduced by Alwardi et al. [2] as the sum of the squares of degree of all the vertices and edges of the given graph. In this paper, the exact expressions for the FEZI of two graphs of several types of Corona products are established. Finally, the obtained results are applied to compute the bounds for the FEZI of two graphs.

Published
28 July 2021
Volume
11 (2021)
License
CC BY 3.0

Copyright © 2021 Durbar Maji, Ganesh Ghorai. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

D. Maji, G. Ghorai, The first entire Zagreb index of various corona products and their bounds, J. Math. Comput. Sci. 11 (2021), 6018–6044. https://doi.org/10.28919/jmcs/6119

BibTeX
@article{Maji2021,
  author  = {Maji, Durbar and Ghorai, Ganesh},
  title   = {The first entire Zagreb index of various corona products and their bounds},
  journal = {J. Math. Comput. Sci.},
  volume  = {11},
  year    = {2021},
  pages   = {6018--6044},
  doi     = {10.28919/jmcs/6119}
}