Open problem on the maximum exponential augmented Zagreb index of unicyclic graphs

Das, Kinkar Chandra; Mondal, Sourav; Huh, Da-yeon

doi:10.1007/s40314-024-02815-2

Comp. Appl. Math.

2024

DOI: 10.1007/s40314-024-02815-2

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Open problem on the maximum exponential augmented Zagreb index of unicyclic graphs

Kinkar Chandra Das,

Sourav Mondal,

Da-yeon Huh

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Cited by 2 publications

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Complete solution to open problems on exponential augmented Zagreb index of chemical trees

Mondal,

Das

2024

Applied Mathematics and Computation

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Complete solution to open problems on exponential augmented Zagreb index of chemical trees

Mondal,

Das

2024

Applied Mathematics and Computation

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The Minimal Molecular Tree for the Exponential Randić Index

Bera,

Das

2024

Mathematics

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Topological indices are numerical parameters that provide a way to quantify the structural features of molecules using their graph representations. In chemical graph theory, these indices have been effectively employed to predict various physico-chemical properties of molecules. Among these, the Randić index stands out as a classical and widely used molecular descriptor in chemistry and pharmacology. The Randić index R(G) for a given graph G is defined as R(G)=∑vivj∈E(G)1d(vi)d(vj), where d(vi) represents the degree of vertex vi and E(G) is the set of edges in the graph G. Given the Randić index’s strong discrimination ability in describing molecular structures, a variant known as the exponential Randić index was recently introduced. The exponential Randić index ER(G) for a graph G is defined as ER(G)=∑vivj∈E(G)e1d(vi)d(vj). This paper further explores and fully characterizes the minimal molecular trees in relation to the exponential Randić index. Moreover, the chemical relevance of the exponential Randić index is also investigated.

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Open problem on the maximum exponential augmented Zagreb index of unicyclic graphs

Cited by 2 publications

References 27 publications

Complete solution to open problems on exponential augmented Zagreb index of chemical trees

Complete solution to open problems on exponential augmented Zagreb index of chemical trees

The Minimal Molecular Tree for the Exponential Randić Index

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