The Weighted Mostar Invariants of Phthalocyanines, Triazine-Based and Nanostar Dendrimers

Abstract

In this analysis, we contemplate newly discovered bond-additive Mostar invariants that seem to provide quantitative measures of peripheral shapes of molecules. Dendrimers are nano-sized, radially symmetric molecules with transparent, homogeneous, and monodisperse structure that has a typically symmetric core, an inner and outer shells. Their three macromolecular architectural characteristics are broadly known as to create rather polydisperse products of various molecular weights. There is a large number of dendrimers, in which each of them has biological characteristics such as chemical stability, polyvalency, electrostatic interactions, self-assembling, low cytotoxicity, and solubility. These significant characteristics make dendrimers a good choice in the medical field, and this review covers their different features. In this paper, the different versions of weighted Mostar invariants for the molecular graphs of three types of dendrimers known as Phthalocyanines, triazine and nanostar dendrimers as their cores are determined by the use of the cut method and the numerical way.

Keywords:

• Mostar invariants
• nanostar dendrimers
• phthalocyanine dendrimers
• triazine-based dendrimers
• weighted mostar invariants

Disclosure statement

No potential conflict of interest was reported by the authors.

Data availability statement

The data used to support the findings of this study are included within the article.

Additional information

Funding

This research is supported by UPAR Grant of United Arab Emirates University (UAEU), Al Ain, UAE via Grants No. G00003271.