Results 141 to 150 of about 6,836 (165)
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Journal of Mathematical Chemistry, 2010
Inspired by recent work on the atom-bond connectivity (ABC) index we proposed a new topological index, augmented Zagreb index (AZI). The tight upper and lower bounds of AZI for chemical trees are obtained. Moreover, it has been shown that among all trees the star has the minumum AZI value.
Furtula, Boris +2 more
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Inspired by recent work on the atom-bond connectivity (ABC) index we proposed a new topological index, augmented Zagreb index (AZI). The tight upper and lower bounds of AZI for chemical trees are obtained. Moreover, it has been shown that among all trees the star has the minumum AZI value.
Furtula, Boris +2 more
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Maximal augmented Zagreb index of trees with given diameter
Applied Mathematics and Computation, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jiang, Yisheng, Lu, Mei
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Extremal augmented Zagreb index of trees with given numbers of vertices and leaves
Discrete Mathematics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chaohui Chen +3 more
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Some new lower bounds for augmented Zagreb index
Journal of Applied Mathematics and Computing, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Boris Furtula +4 more
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Augmented Zagreb index of trees and unicyclic graphs with perfect matchings
Applied Mathematics and Computation, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sun, Xiaoling +3 more
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Complete Characterization of Chemical Trees with Maximal Augmented Zagreb Index
Journal of Applied Mathematics and Computing, 2023Yanling Shao, Wei Gao
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Minimum augmented Zagreb index of
More then 10 years ago a modified atom bond connectivity (ABC) index was introduced as \[ABC_{\lambda}(G)= \sum_{uv \in E(G)} \left( \frac{d(u)d(v)}{d(u)-d(v)-2} \right)^{\lambda},\] which gives for \(\lambda=-\frac{1}{2}\) the original version of the ABC index.
Muhuo Liu, Kun Cheng, Boris Furtula
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Some results on augmented Zagreb index of some trees and unicyclic graphs
Creative Mathematics and Informatics, 2019Summary: The augmented Zagreb index (AZI) of a graph \(G\) is defined as \[\operatorname{AZI}(G) =\sum_{uv\in E(G)}\left(\frac{d_ud_v}{d_u+d_v-2}\right)^3, \] where \(E(G)\) and \(d_u\) denote set of edges of \(G\) and degree of the vertex \(u\) in \(G\) respectively.
Bharali, A., Konch, Nijara
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Topological Insights into Nanostar Dendrimers by Computing the Augmented Zagreb Index
Combinatorial Chemistry & High Throughput ScreeningBackground: The field of nanobiotechnology uses precise nanofabrication techniques to advance our understanding and control of biological systems. Due to their remarkable properties, dendrimers, which are hyperbranched macromolecular structures with distinct and well-defined architectures, have emerged as pivotal entities within this field.
Haleemah, Ghazwani +3 more
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The minimal augmented Zagreb index of \(k\)-apex trees for \(k\in\{1,2,3\}\)
2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cheng K., Liu M., Belardo F.
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