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Imbalance-Based Irregularity Molecular Descriptors of Nanostar Dendrimers

Department of Mathematics and Statistics, The University of Lahore, Lahore 54500, Pakistan
Department of Mathematics, Division of Science and Technology, University of Education, Lahore 54000, Pakistan
Center for Excellence in Molecular Biology, Punjab University Lahore, Lahore 53700, Pakistan
Department of Mathematics, Dong-A University, Busan 49315, Korea
Department of Mathematics, Gyeongsang National University, Jinju 52828, Korea
Center for General Education, China Medical University, Taichung 40402, Taiwan
Author to whom correspondence should be addressed.
Processes 2019, 7(8), 517;
Received: 27 June 2019 / Revised: 19 July 2019 / Accepted: 29 July 2019 / Published: 6 August 2019
(This article belongs to the Special Issue Computational Methods for Polymers)
PDF [1657 KB, uploaded 6 August 2019]


Dendrimers are branched organic macromolecules with successive layers of branch units surrounding a central core. The molecular topology and the irregularity of their structure plays a central role in determining structural properties like enthalpy and entropy. Irregularity indices which are based on the imbalance of edges are determined for the molecular graphs associated with some general classes of dendrimers. We also provide graphical analysis of these indices for the above said classes of dendrimers. View Full-Text
Keywords: nanostar dendrimer; irregularity measure; complexity of structure; NS1[p]; NS2[p]; NS3[p] nanostar dendrimer; irregularity measure; complexity of structure; NS1[p]; NS2[p]; NS3[p]

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Hussain, Z.; Munir, M.; Rafique, S.; Hussnain, T.; Ahmad, H.; Chel Kwun, Y.; Min Kang, S. Imbalance-Based Irregularity Molecular Descriptors of Nanostar Dendrimers. Processes 2019, 7, 517.

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