The multiplicative second hyper Zagreb index of some graph operations
Abstract
In this paper, the multiplicative second hyper Zagreb index is presented and the sharp upper bound for this index of various graph operations for example, join, composition, cartesian and corona products of graphs are derived. And we prove that the sharp upper bound is tight.
Copyright © 2020 M. Aruvi, J. Maria Joseph, E. Ramganesh. 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
M. Aruvi, J. M. Joseph, E. Ramganesh, The multiplicative second hyper Zagreb index of some graph operations, J. Math. Comput. Sci. 10 (2020), 2829–2845. https://doi.org/10.28919/jmcs/4997
BibTeX
@article{Aruvi2020,
author = {Aruvi, M. and Joseph, J. Maria and Ramganesh, E.},
title = {The multiplicative second hyper Zagreb index of some graph operations},
journal = {J. Math. Comput. Sci.},
volume = {10},
year = {2020},
pages = {2829--2845},
doi = {10.28919/jmcs/4997}
}