Connection-based modified Zagreb indices of Boron triangular sheet BTS(m,n)

Abstract

A topological index is a parameter from a molecular graph that predicts physicochemical properties or biological activities, characterised by the topology of molecular structure. Mathematician Harry Wiener created the Wiener index, one of the first and most widely used topological indices, in 1947 while trying to solve the problem of determining the boiling points of n-alkanes. In 1972, mathematician Ivan Gutman introduced the concept of degree-based topological indices. Then he proposed a series of topological indices based on the atomic degrees, such as the first and second Zagreb indices and Zagreb connection indices. In this study, we obtained modified second, third, and fourth Zagreb connections as well as modified first, second, and third multiplicative Zagreb connection indices for the Boron triangular sheet $BTS(m,n)$.

GRAPHICAL ABSTRACT

Keywords:

• Connection index
• Boron triangular sheet
• $Z{C}_2^{\ast }$
• $Z{C}_3^{\ast }$
• comparability

Acknowledgments

We are grateful to the reviewers for their helpful suggestions.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Author contribution

All authors have equally contributed to this manuscript.

Data availability statement

All the data are included within this paper. However, the reader may contact the corresponding author for more details of the data.

Ethical approval

This material is the authors' own original work, which has not been previously published elsewhere.