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The k-apex trees with minimum augmented Zagreb index
Discrete Mathematics, 2023 For a connected graph $G$ on at least three vertices, the augmented Zagreb index (AZI) of $G$ is defined as $$AZI(G)=\sum_{uv\in E(G)}\left(\frac{d(u)d(v)}{d(u)+d(v)-2}\right)^{3},$$ being a topological index well-correlated with the formation heat of heptanes and octanes.
Liu M., Pang S., Belardo F., Ali A.
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Extremal properties of connected 4-cyclic graphs of a topological index related to chemical graphs [PDF]
Science ProgressAugmented 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 ...
Riffat Rehman +3 more
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On the maximal augmented Zagreb index of unicyclic graphs with given girth
Discrete Applied MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yibo Li, Ruiting Zhang, Qiong Fan
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Augmented Zagreb Index: Extremal Results and Bounds [PDF]
MATCH : communications in mathematical and in computer chemistry, 2021 The augmented Zagreb index (AZI) is a molecular structure descriptor introduced about a decade ago. Chemical applicability of AZI was tested in several studies, where it was found that in most cases AZI outperforms other structure descriptors of this type. This survey paper outlines extremal results and bounds on AZI that have been reported until now.
Akbar, Ali +3 more
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Erratum to "Complete Characterization of Trees with Maximal Augmented Zagreb Index" [PDF]
match Communications in Mathematical and in Computer Chemistry, 2021 The augmented Zagreb index (AZI) has attracted more and more attentions in the past years. Some significant mathematical properties of AZI were obtained. In particular, Lin et al. [MATCH Commun. Math. Comput. Chem. 83 (2020) 167] recently claimed a complete solution to the problem of characterizing n-vertex tree(s) with maximal AZI.
Xiaoshi Xiao, Xiuliang Qiu, Wenshui Lin
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Sharp Bounds on the Augmented Zagreb Index of Graph Operations [PDF]
Kragujevac Journal of Mathematics, 2020 Let G be a finite and simple graph with edge set E(G). The augmented Zagreb index of G is ( ) ∑ dG (u )dG (v) 3 AZI (G ) = ---------------------- , dG (u ) + dG (v) − 2 uv∈E(G ) where dG(u) denotes the degree of a vertex u in
Dehgardi, N., Aram, H.
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Topological Indices of Families of Bistar and Corona Product of Graphs
Journal of Mathematics, 2022 Topological indices are graph invariants that are used to correlate the physicochemical properties of a chemical compound with its (molecular) graph. In this study, we study certain degree-based topological indices such as Randić index, Zagreb indices ...
A. Khalid +5 more
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Indonesian Journal of Combinatorics, 2020 Dutch windmill graph [1, 2] and denoted by Dnm. Order and size of Dutch windmill graph are (n−1)m+1 and mn respectively. In this paper, we computed certain topological indices and polynomials i.e.
Salma Kanwal +4 more
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M-Polynomials and Degree-Based Topological Indices of the Molecule Copper(I) Oxide
Journal of Chemistry, 2021 Topological indices are numerical parameters used to study the physical and chemical residences of compounds. Degree-based topological indices have been studied extensively and can be correlated with many properties of the understudy compounds.
Faryal Chaudhry +5 more
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Some topological properties of uniform subdivision of Sierpiński graphs
Main Group Metal Chemistry, 2021 Sierpiński graphs are family of fractal nature graphs having applications in mathematics of Tower of Hanoi, topology, computer science, and many more diverse areas of science and technology. This family of graphs can be generated by taking certain number
Liu Jia-Bao +3 more
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