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On the Trees With Maximal Augmented Zagreb Index
IEEE Access, 2018 The augmented Zagreb index (AZI), a variant of the well-known atom-bond connectivity (ABC) index, was shown to have the best predicting ability for a variety of physicochemical properties among several tested vertex-degree-based topological indices ...
Wenshui Lin +4 more
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Maximal Augmented Zagreb Index of Trees With at Most Three Branching Vertices
IEEE Access, 2019 The Augmented Zagreb index of a graph $G$ is defined to be $\mathcal {AZI}\left ({G}\right) =\sum _{uv\in E\left ({G}\right) } \left ({\frac { d\left ({u}\right) d\left ({v}\right) }{d\left ({u}\right) +d\left ({v}\right) -2} }\right) ^{3}$ , where ...
Roberto Cruz +2 more
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On chemical trees with minimum augmented Zagreb index [PDF]
Contributions to Mathematics, 2023 Summary: Let \(G\) be a simple connected graph with order at least 3, vertex set \(V(G)\), and edge set \(E(G)\). For a vertex \(v\in V(G)\), denote by \(d_G(v)\) the degree of \(v\). The augmented Zagreb index of the graph \(G\) is denoted by \(\mathcal{AZ}(G)\) and is defined as \(\mathcal{AZ}(G)=\sum_{uv\in E(G)}(d_G(u)d_G(v)/(d_G(u)+d_G(v)-2))^3\).
Wei Gao
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Bounds for the augmented Zagreb index
Theory and Applications of Graphs, 2023 The augmented Zagreb index (\rm{AZI} for short) of a graph $G$, introduced by Furtula et al. in 2010, is defined as ${\rm AZI}(G)=\sum\limits_{v_iv_j\in E(G)}{\left(\frac{d(v_i)d(v_j)}{d(v_i)+d(v_j)-2}\right)}^3$, where $E(G)$ is the edge set of $G$, and
Ren qingcuo +3 more
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Unicyclic and bicyclic graphs with minimal augmented Zagreb index [PDF]
Journal of Inequalities and Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhan, Fuqin, Qiao, Youfu, Cai, Junliang
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Data-driven analysis of chemical graph of carbazole and diketopyrrolopyrrole [PDF]
Scientific ReportsTopological indices play a key role in molecular graph theory, consisting of mathematical tools that allocate numerical values to molecular structures.
Zeeshan Saleem Mufti +5 more
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Some Bounds of Weighted Entropies with Augmented Zagreb Index Edge Weights
Discrete Dynamics in Nature and Society, 2020 The graph entropy was proposed by Körner in the year 1973 when he was studying the problem of coding in information theory. The foundation of graph entropy is in information theory, but it was demonstrated to be firmly identified with some established ...
Yujie Huang +4 more
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树状六角系统的增强型萨格勒布指数(The augmented Zagreb index of the catacondensed hexagonal systems)
Zhejiang Daxue xuebao. Lixue ban, 2016 The augmented Zagreb index (AZI) of a graph G= (V,E) was recently introduced by FURTULA et al, which is defined as ，where du denotes the degree of a vertex u in G.
LIUJianping(刘剑萍) +2 more
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A note on the augmented Zagreb index of cacti with fixed number of vertices and cycles
Kuwait Journal of Science, 2016 Recent studies show that augmented Zagreb index (AZI) possess the best correlating ability among the various well known topological indices for predicting the certain physicochemical properties ofparticular types of molecules.
Akbar Ali, Akhlaq A. Bhatti
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Exploring topological indices and entropy measure via rational curve fitting models for calcium hydroxide network [PDF]
Scientific ReportsThis work uses rational curve fitting models to investigate the complex link between topological indices and entropy metrics in calcium hydroxide $$(Ca(OH)_{2})$$ ( C a ( O H ) 2 ) networks.
Rongbing Huang +5 more
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