First General Zagreb Co-Index of Graphs under Operations
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, th...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/5094929 |
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| Summary: | 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. |
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| ISSN: | 2314-4785 |