Molecular descriptors of discrete dynamical system in fractal and Cayley tree type dendrimers

  • Muhammad Kamran SiddiquiEmail author
  • Muhammad Imran
  • Muhammad Azhar Iqbal
Original Research


Graph theory plays an important role in modeling and designing any chemical network. A large number of properties like physico-chemical properties, thermodynamic properties, chemical activity and biological activity are determined by the chemical applications of graph theory. These properties can be characterized by certain graph invariants referred to as topological indices. A molecular descriptor (topological index) is a numerical representation of a chemical structure which correlates certain physico-chemical characteristics of underlying chemical compounds besides its numerical representation. Chemical graph theory plays an important role in modeling and designing any chemical network as well as in discrete dynamical systems. These properties can be characterized by certain graph invariants referred to as topological indices in discrete dynamical systems. In this paper, we discuss the fractal and Cayley tree type dendrimers and computed exact results for degree based molecular descriptor.


Molecular descriptor Fractal and Cayley tree type dendrimers Zagreb type indices Augmented Zagreb index Balaban index Forgotten topological index 

Mathematics Subject Classification

05C12 05C90 



The authors are grateful to the anonymous referees for their valuable comments and suggestions that improved this paper. This research is supported by the Start-up Research Grant 2016 of United Arab Emirates University (UAEU), Al Ain, United Arab Emirates via Grant No. G00002233 and UPAR Grant of UAEU via Grant No. G00002590.


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Copyright information

© Korean Society for Computational and Applied Mathematics 2019

Authors and Affiliations

  1. 1.Department of MathematicsCOMSATS University IslamabadSahiwalPakistan
  2. 2.Department of Mathematical SciencesUnited Arab Emirates UniversityAl AinUnited Arab Emirates
  3. 3.Department of Mathematics, School of Natural Sciences (SNS)National University of Sciences and Technology (NUST)IslamabadPakistan
  4. 4.Department of Basic SciencesRiphah International University IslamabadIslamabadPakistan

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