Extremal properties of connected 4-cyclic graphs of a topological index related to chemical graphs

Extremal properties of connected 4-cyclic graphs of a topological index related to chemical graphs

Augmented Zagreb index (AZI) is an important vertex-degree-based topological index with many applications especially in chemistry. In this article, minimum value of A Z I ( G ) is obtained and the corresponding extremal graph is characterized in the class of connected 4-cyclic graphs with seven or m...

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Veröffentlicht in:Science progress (1916) 2024-07, Vol.107 (3), p.368504241275374
Hauptverfasser: Rehman, Riffat, Tariq Rahim, M., Muzaffar, Haseeb, Hussain, Fawad
Format: Artikel
Sprache:eng
Schlagworte:
Apexes
Chemical compounds
Chemical properties
Chemistry
Graph theory
Graphs
Topology
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Zusammenfassung:Augmented Zagreb index (AZI) is an important vertex-degree-based topological index with many applications especially in chemistry. In this article, minimum value of A Z I ( G ) is obtained and the corresponding extremal graph is characterized in the class of connected 4-cyclic graphs with seven or more vertices. These results can be used to characterize numerous chemical properties of chemical compounds having 4-cyclic structures.
ISSN:0036-8504
2047-7163
2047-7163
DOI:10.1177/00368504241275374