A SHORT NOTE ON HYPER ZAGREB INDEX

Toufik Mansour, Mohammad Ali Rostami, Suresh E, G Britto Antony Xavier

Abstract


In this paper, we present and analyze the upper and lower bounds on the Hyper Zagreb index $\chi^2(G)$ of graph $G$ in terms of the number of vertices $(n)$, number of edges $(m)$, maximum degree $(\Delta)$, minimum degree $(\delta)$ and the inverse degree $(ID(G))$. In addition, we give a counter example on the upper bound  of the second Zagreb index for Theorems 2.2 and  2.4 from \cite{ranjini}. Finally, we present lower and upper bounds on $\chi^2(G)+\chi^2(\overline G)$, where $\overline G$ denotes the complement of $G$.

Keywords


Zagreb index, Sum Connectivity index, Forgotten Topological index

Full Text:

PDF


DOI: http://dx.doi.org/10.5269/bspm.v37i2.29148



Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

ISSN 0037-8712 (print) and ISSN 2175-1188 (on-line)

Resultado de imagem para CC BY