On distance dependent entropy measures of poly propylene imine and zinc porphyrin dendrimers |
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| Authors: | Jiao Wei Asfand Fahad Ali Raza Priya Shabir Abdu Alameri |
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| Institution: | 1. Department of Pharmacy, People's Hospital, Lujiang County, China;2. School of Mathematical Sciences, Zhejiang Normal University, Jinhua, China;3. Department of Mathematics, University of Punjab, Lahore, Pakistan;4. Department of Mathematics, University of Education Lahore, Vehari Campus, Pakistan;5. Department of Biomedical Engineering, University of Science and Technology, Sana'a, Yemen |
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| Abstract: | A key paradigm in contemporary research is the use of graphs to represent physical systems, molecular structures, or particularly metal frameworks. Graphs are increasingly widely used in a variety of fields, including the study of quantum and molecular systems, macromolecules and their interactions, socioeconomic and ecological systems, and technical and infra-structural systems. Understanding how these systems function, are robust, and are stable begins with structural characterization. The use of entropies and entropy-like measurements of graphs/structures of molecules/networks is crucial from both a mathematical and physical standpoint. Several entropy measures of graphs have been defined and studied extensively during the last few decades. The current paper is devoted to investigation of distance dependent entropy measures of Poly Propylene Imine (PPI) dendrimers and Zinc Porphyrin dendrimers. The analytical formulae of distance dependent entropy measures have been developed and their patterns have been presented through graphical tools. |
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| Keywords: | distance in graphs eccentricity entropy poly propylene imine dendrimers zinc porphyrin dendrimers |
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