First General Zagreb Co-Index of Graphs under Operations

Muhammad Javaid, Muhammad Ibraheem, Ebenezer Bonyah, Uzma Ahmad, Shaohui Wang and Ali Jaballah

Journal of Mathematics, 2022, vol. 2022, 1-11

Abstract: Topological indices are graph-theoretic parameters which are widely used in the subject of chemistry and computer science to predict the various chemical and structural properties of the graphs respectively. Let G be a graph; then, by performing subdivision-related operations S, Q, R, and T on G, the four new graphs SG (subdivision graph), QG (edge-semitotal), RG (vertex-semitotal), and TG (total graph) are obtained, respectively. Furthermore, for two simple connected graphs G and H, we define F-sum graphs (denoted by G+FH) which are obtained by Cartesian product of FG and H, where F∈S,R,Q,T. In this study, we determine first general Zagreb co-index of graphs under operations in the form of Zagreb indices and co-indices of their basic graphs.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:5094929

DOI: 10.1155/2022/5094929

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