Year: 2022
Type: article
Abstract: For a graph G, its bond incident degree (BID) index is defined as the sum of the contributions f(du, dv) over all edges uv of G, where dw denotes the degree of a vertex w of G and f is a real‐valued symmetric function. If f(du, dv) = du + dv or dudv, then the corresponding BID index is known as the first Zagreb index M1 or the second Zagreb index M2, respectively. The class of square‐hexagonal chains is a subclass of the class of molecular graphs of minimum degree 2. (Formal definition of a square‐hexagonal chain is given in the Introduction section). The present study is motivated from the paper (C. Xiao, H. Chen, Discrete Math. 339 (2016) 506–510) concerning square‐hexagonal chains. In the present paper, a general expression for calculating any BID index of square‐hexagonal chains is derived. The chains attaining the maximum or minimum values of M1 and M2 are also characterized from the class of all square‐hexagonal chains having a fixed number of polygons.
Source: Journal of Mathematics
DOI: 10.1155/2022/1864828
Institutions: University of Ha'il, University of Zimbabwe
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,160
OpenAlex ID: W4229033765