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Research Articles

Topological Properties of Polycyclic Aromatic Nanostars Dendrimers

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Pages 1891-1908 | Received 16 Apr 2020, Accepted 05 Sep 2020, Published online: 16 Sep 2020

References

  • M. Imran, M. A. Ali, S. Ahmad, M. K. Siddiqui, and A. Q. Baig, “Topological characterization of the symmetrical structure of bismuth tri-iodide,” Symmetry 10, no. 6 (2018): 201–16.
  • H. Yang, M. A. Rashid, S. Ahmad, S. S. Khan, and M. K. Siddiqui, “On Molecular Descriptors of Face-Centred Cubic Lattice,” Processes 7, no. 5 (2019): 280–15.
  • M. R. Farahani, H. M. A. Siddiqui, S. Baby, M. Imran, and M. K. Siddiqui, “The Second and Second-Sum-Connectivity Indices of TUC4C8(S) nanotubes,” Journal of Optoelectronics and Biomedical Materials 8, (2016): 107–11.
  • M. K. Siddiqui, M. Imran, and A. Ahmad, “On Zagreb Indices, Zagreb Polynomials of Some Nanostar Dendrimers,”Applied Mathematics and Computation 280, (2016): 132–9.
  • Z. Shao, M. K. Siddiqui, and M. H. Muhammad, “Computing Zagreb Indices and Zagreb Polynomials for Symmetrical Nanotubes,” Symmetry 10, no. 7 (2018): 244–54.
  • M. K. Siddiqui, and W. Gharibi, “On Zagreb Indices, Zagreb Polynomials of Mesh Derived Networks,” Journal of Computational and Theoretical Nanoscience 13, no. 11 (2016): 8683–8.
  • Donald A. Tomalia, and Jean M. J. Fréchet, “Discovery of Dendrimers and Dendritic Polymers: A Brief Historical Perspective,” Journal of Polymer Science Part A: Polymer Chemistry 40, no. 16 (2002): 2719–28.
  • George R. Newkome, James K. Young, Gregory R. Baker, Robert L. Potter, Laurent Audoly, David Cooper, Claus D. Weis, Kevin Morris, and Charles S. Johnson, “Cascade Polymers pH Dependence of Hydrodynamic Radii of Acid-Terminated Dendrimers,” Macromolecules 26, no. 9 (1993): 2394–6.
  • Nisar Fatima, Akhlaq Ahmad Bhatti, Akbar Ali, and Wei Gao, “Zagreb Connection Indices of Two Dendrimer Nanostars,” Acta Chemica Iasi 27, no. 1 (2019): 1–14.
  • N. Palma, and L. Julio, “Electronic Spectra of the Nanostar Dendrimer, Theory and Experiment,” The Journal of Physical Chemistry C 48, (2010): 20702–12.
  • W. Gao, M. K. Siddiqui, M. Imran, M. K. Jamil, and M. R. Farahani, “Forgotten Topological Index of Chemical Structure in Drugs,” Saudi Pharmaceutical Journal : SPJ : The Official Publication of the Saudi Pharmaceutical Society 24, no. 3 (2016): 258–64.
  • H. Wiener, “Structural Determination of Paraffin Boiling Points,” Journal of the American Chemical Society 69, no. 1 (1947): 17–20.
  • I. Gutman, and N. Trinajsti, “Graph Theory and Molecular Orbitals. Total φ-Electron Energy of Alternant Hydrocarbons,” Chemical Physics Letters 17, no. 4 (1972): 535–8.
  • M. Randic, “Characterization of Molecular Branching,” Journal of the American Chemical Society 97, no. 23 (1975): 6609–15.
  • S. Ediz, “Predicting Some Physicochemical Properties of Octane Isomers, a Topological Approach Using ev-Degree and ve-Degree Zagreb Indices,” International Journal of Systems Science and Applied Mathematics 2, no. 5 (2017): 87–97.
  • L. Zhong, “The Harmonic Index for Graphs,” Applied Mathematics Letters 25, no. 3 (2012): 561–6.
  • M. Chellali, T. W. Haynes, S. T. Hedetniemi, and T. M. Lewis, “On ve-Degrees and ev-Degrees in Graphs,” Discrete Mathematics 340, no. 2 (2017): 31–8.
  • B. Horoldagva, K. C. Das, and T. A. Selenge, “On ve-Degree and ev-Degree of Graphs,” Discrete Optimization 31, (2019): 1–7.
  • S. Ediz, “A New Tool for QSPR Researches, ev-Degree Randi Index,” Celal Bayar University Journal of Science 13, no. 3 (2017): 615–8.
  • B. Sahin, and S. Ediz, “On ev-Degree and ve-Degree Topological Indices,” Iranian Journal of Mathematical Chemistry 9, no. 4 (2018): 263–77.
  • H. Yang, M. Imran, S. Akhter, Z. Iqbal, and M. K. Siddiqui, “On Distance-Based Topological Descriptors of Subdivision Vertex-Edge Join of Three Graphs,” IEEE Access. 7, no. 1 (2019): 143381–91.
  • M. S. Anjum, M. U. Safdar, K. Banhattia, and K. Hyper, “Banhatti Indices of Nanotubes,” Engineering and Applied Science Letters 2, no. 1 (2019): 19–37.
  • M. K. Siddiqui, M. Imran, and M. Saeed, “Topological Properties of Face-Centred Cubic Lattice,” Hacettepe Journal of Mathematics and Statistics 49, no. 1 (2020): 195–207.
  • Muhammad Nadeem, Sarfraz Ahmad, Muhammad Kamran Siddiqui, and Muhammad Naeem, “Topological Descriptor of 2-Dimensional Silicon Carbons and Their Applications,” Open Chemistry 17, no. 1 (2019): 1473–82.
  • M. Imran, M. K. Siddiqui, A. Q. Baig, W. Khalid, and H. Shaker, “Topological Properties of Cellular Neural Networks,” Journal of Intelligent & Fuzzy Systems 37, (2019): 3605–14.
  • W. Gao, M. Asif, and W. Nazeer, “The Study of Honey Comb Derived Network via Topological Indices,” Open Journal of Mathematical Analysis 2, no. 2 (2018): 10–26.
  • Mobeen Munir, Waqas Nazeer, Shazia Rafique, and Shin Kang, “M-Polynomial and Related Topological Indices of Nanostar Dendrimers,” Symmetry 8, no. 9 (2016): 97–107.
  • A. Tabassum, M. A. Umar, M. Perveen, and A. Raheem, “Antimagicness of Subdivided Fans,” Open Journal of Mathematical Sciences 4, no. 1 (2020): 18–22.
  • H. Fadhil, M. Salih, and M. Mershkhan, “S., Generalized the Liouvilles and Mbius Functions of Graph,” Open Journal of Mathematical Sciences 4, (2020): 186–94.
  • S. Manseri, and J. Luo, “Covering Radius of Repetition Codes,” Open Journal of Mathematical Sciences 4, no. 1 (2020): 168–73.
  • U. Ali, Y. Ahmad, and M. S. Sardar, “On 3-Total Edge Product Cordial Labeling of Tadpole, Book and Flower Graphs,” Open Journal of Mathematical Sciences 4, no. 1 (2020): 48–55.
  • Nilanjan De, and S. M A. Nayeem, “Computing the F-Index of Nanostar Dendrimers,” Pacific Science Review A: Natural Science and Engineering 18, no. 1 (2016): 14–21.
  • A. R. Ashrafi, and M. Mirzargar, “The Study of an Infinite Class of Dendrimer Nanostars by Topological Index Approaches,” Journal of Applied Mathematics and Computing 31, no. 1-2 (2009): 289–94.
  • S. M. Kang, M. K. Siddiqui, N. A. Rehman, M. Imran, and M. H. Muhammad, “Laplacian Spectra for Categorical Product Networks and Its Applications,” Symmetry 10, no. 6 (2018): 206–10.
  • I. Gutman, B. Ruscic, N. Trinajsti, and C. F. Wilcox, Jr, “Graph Theory and Molecular Orbitals. XII. Acyclic Polyenes,”The Journal of Chemical Physics 62, no. 9 (1975): 3399–405.
  • N. Nikolova, and J. Jaworska, “Approaches to Measure Chemical Similaritya Review,” QSAR & Combinatorial Science 22, no. 9 (2003): 1006–26. 10),
  • W. Gao, M. K. Siddiqui, M. Naeem, and N. A. Rehman, “Topological Characterization of Carbon Graphite and Crystal Cubic Carbon Structures,” Molecules 22, no. 9 (2017): 1496–508.

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