The (a,b)-Zagreb index of some derived networks

ABSTRACT

There is a very wide application of mathematics in communication theory, signal processing and networking. A network is formed by nodes communicating with each other. Graph theory plays a vital role in the area of networking research. A topological index is a numeric quantity obtained from a graph structure which is invariant under graph isomorphism. In this study, we obtained a generalized degree-based topological index, called $(a,b)$-Zagreb index of some derived networks such as Sierpinski network, butterfly network, Benes network and mesh-derived network and hence consider some particular cases.

KEYWORDS:

• Degree-based topological indices
• generalized Zagreb index
• networks

Disclosure statement

No potential conflict of interest was reported by the authors.

ORCID

Prosanta Sarkar http://orcid.org/0000-0003-4878-0088

Nilanjan De  http://orcid.org/0000-0001-9143-7045

Ismail Naci Cangul http://orcid.org/0000-0002-0700-5774

Correction Statement

This article has been republished with minor changes. These changes do not impact the academic content of the article.

Additional information

Funding

This work was supported by CSIR, HRDG, New Delhi, India [09/973(0016)/2017-EMR-I].