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Open AccessArticle

Comparison of Irregularity Indices of Several Dendrimers Structures

School of Automation, Wuhan University of Technology, Wuhan 430070, China
School of Natural Sciences, National University of Sciences and Technology, Sector H-12, Islamabad 44000, Pakistan
Department of Mathematics, COMSATS University Islamabad, Sahiwal Campus, Sahiwal 57000, Pakistan
Department of Mathematics and Statistics, Institute of Southern Punjab, Multan 66000, Pakistan
Department of Mathematics, RIPHAH International University, Lahore 54000, Pakistan
Department of Mathematics, COMSATS University Islamabad, Vehari Campus, Vehari 61100, Pakistan
Author to whom correspondence should be addressed.
Processes 2019, 7(10), 662;
Received: 21 August 2019 / Revised: 18 September 2019 / Accepted: 20 September 2019 / Published: 27 September 2019
(This article belongs to the Special Issue Computational Methods for Polymers)
Irregularity indices are usually used for quantitative characterization of the topological structures of non-regular graphs. In numerous problems and applications, especially in the fields of chemistry and material engineering, it is useful to be aware of the irregularity of a molecular structure. Furthermore, the evaluation of the irregularity of graphs is valuable not only for quantitative structure-property relationship (QSPR) and quantitative structure-activity relationship (QSAR) studies but also for various physical and chemical properties, including entropy, enthalpy of vaporization, melting and boiling points, resistance, and toxicity. In this paper, we will restrict our attention to the computation and comparison of the irregularity measures of different classes of dendrimers. The four irregularity indices which we are going to investigate are σ irregularity index, the irregularity index by Albertson, the variance of vertex degrees, and the total irregularity index. View Full-Text
Keywords: molecular graph; irregularity indices; dendrimers molecular graph; irregularity indices; dendrimers
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Zhao, D.; Iqbal, Z.; Irfan, R.; Chaudhry, M.A.; Ishaq, M.; Jamil, M.K.; Fahad, A. Comparison of Irregularity Indices of Several Dendrimers Structures. Processes 2019, 7, 662.

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