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On Zagreb indices, Zagreb polynomials of some nanostar dendrimers

Author

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  • Siddiqui, Muhammad Kamran
  • Imran, Muhammad
  • Ahmad, Ali

Abstract

Dendrimers are highly branched organic macromolecules with successive layers or generations of branch units surrounding a central core (Ashrafi and Mirzargar, 2008 [3]; Chen et al., 2014 [7]; Klajnert and Bryszewska, 2001 [26]; Yamamoto et al., 2002 [36]). These are key molecules in nanotechnology and can be put to good use. Topological indices are numbers associated with molecular graphs for the purpose of allowing quantitative structure-activity/property/toxicity relationships. These topological indices correlate certain physico-chemical properties like boiling point, stability, strain energy etc of chemical compounds. In this paper, we determine hyper-Zagreb index, first multiple Zagreb index, second multiple Zagreb index and Zagreb polynomials for some nanostar dendrimers.

Suggested Citation

  • Siddiqui, Muhammad Kamran & Imran, Muhammad & Ahmad, Ali, 2016. "On Zagreb indices, Zagreb polynomials of some nanostar dendrimers," Applied Mathematics and Computation, Elsevier, vol. 280(C), pages 132-139.
    • Handle: RePEc:eee:apmaco:v:280:y:2016:i:c:p:132-139
    DOI: 10.1016/j.amc.2016.01.041
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    References listed on IDEAS

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    1. Kimihisa Yamamoto & Masayoshi Higuchi & Satoshi Shiki & Masanori Tsuruta & Hiroshi Chiba, 2002. "Stepwise radial complexation of imine groups in phenylazomethine dendrimers," Nature, Nature, vol. 415(6871), pages 509-511, January.
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    Cited by:

    1. Prosanta Sarkar & Nilanjan De & Anita Pal, 2022. "On some multiplicative version topological indices of block shift and hierarchical hypercube networks," OPSEARCH, Springer;Operational Research Society of India, vol. 59(2), pages 561-572, June.
    2. Xiujun Zhang & Muhammad Kamran Siddiqui & Muhammad Naeem & Abdul Qudair Baig, 2018. "Computing Eccentricity Based Topological Indices of Octagonal Grid O n m," Mathematics, MDPI, vol. 6(9), pages 1-14, August.
    3. Wei Gao & Muhammad Younas & Adeel Farooq & Abaid Ur Rehman Virk & Waqas Nazeer, 2018. "Some Reverse Degree-Based Topological Indices and Polynomials of Dendrimers," Mathematics, MDPI, vol. 6(10), pages 1-20, October.
    4. Muhammad Imran & Muhammad Kamran Siddiqui & Amna A. E. Abunamous & Dana Adi & Saida Hafsa Rafique & Abdul Qudair Baig, 2018. "Eccentricity Based Topological Indices of an Oxide Network," Mathematics, MDPI, vol. 6(7), pages 1-13, July.
    5. Shahid Imran & Muhammad Kamran Siddiqui & Muhammad Imran & Muhammad Faisal Nadeem, 2018. "Computing Topological Indices and Polynomials for Line Graphs," Mathematics, MDPI, vol. 6(8), pages 1-10, August.

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