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    Sharp Bounds of the Hyper-Zagreb Index on Acyclic, Unicylic, and Bicyclic Graphs by Wei Gao, Muhammad Kamran Jamil, Aisha Javed, Mohammad Reza Farahani, Shaohui Wang, Jia-Bao Liu

    Published 2017-01-01
    “…In this paper, the monotonicity of the hyper-Zagreb index under some graph transformations was studied. Using these nice mathematical properties, the extremal graphs among n-vertex trees (acyclic), unicyclic, and bicyclic graphs are determined for hyper-Zagreb index. …”
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    Bounds of Degree-Based Molecular Descriptors for Generalized F-sum Graphs by Jia Bao Liu, Sana Akram, Muhammad Javaid, Abdul Raheem, Roslan Hasni

    Published 2021-01-01
    “…A molecular descriptor is a mathematical measure that associates a molecular graph with some real numbers and predicts the various biological, chemical, and structural properties of the underlying molecular graph. …”
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