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On Topological Indices of Subdivided and Line Graph of Subdivided Friendship Graph

Received: 25 February 2019     Accepted: 8 April 2019     Published: 6 May 2019
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Abstract

Topological indices are numerical parameters which characterizes the topology of a molecular graph, they corelate certain physo-chemical properties and importantly they are structure invariant. Degree based topological indices play vital role among others. In this paper, by means of edge dividing trick, the closed formulas of atom bond connectivity index, geometric arithmatic index, Randic index, sum connectivity index and augmented Zagreb index are computed for subdivided friendship graph and line graph of subdivided friendship graph.

Published in International Journal of Discrete Mathematics (Volume 4, Issue 1)
DOI 10.11648/j.dmath.20190401.19
Page(s) 56-60
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2019. Published by Science Publishing Group

Keywords

Atom Bond Connectivity Index, Geometric Arithmetic Index, Subdivided Graph, Friendship Graph

References
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Cite This Article
  • APA Style

    Hifza Iqbal, Jabeen, Zeeshan Saleem Mufti, Muhammad Ozair Ahmad. (2019). On Topological Indices of Subdivided and Line Graph of Subdivided Friendship Graph. International Journal of Discrete Mathematics, 4(1), 56-60. https://doi.org/10.11648/j.dmath.20190401.19

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    ACS Style

    Hifza Iqbal; Jabeen; Zeeshan Saleem Mufti; Muhammad Ozair Ahmad. On Topological Indices of Subdivided and Line Graph of Subdivided Friendship Graph. Int. J. Discrete Math. 2019, 4(1), 56-60. doi: 10.11648/j.dmath.20190401.19

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    AMA Style

    Hifza Iqbal, Jabeen, Zeeshan Saleem Mufti, Muhammad Ozair Ahmad. On Topological Indices of Subdivided and Line Graph of Subdivided Friendship Graph. Int J Discrete Math. 2019;4(1):56-60. doi: 10.11648/j.dmath.20190401.19

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  • @article{10.11648/j.dmath.20190401.19,
      author = {Hifza Iqbal and Jabeen and Zeeshan Saleem Mufti and Muhammad Ozair Ahmad},
      title = {On Topological Indices of Subdivided and Line Graph of Subdivided Friendship Graph},
      journal = {International Journal of Discrete Mathematics},
      volume = {4},
      number = {1},
      pages = {56-60},
      doi = {10.11648/j.dmath.20190401.19},
      url = {https://doi.org/10.11648/j.dmath.20190401.19},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.dmath.20190401.19},
      abstract = {Topological indices are numerical parameters which characterizes the topology of a molecular graph, they corelate certain physo-chemical properties and importantly they are structure invariant. Degree based topological indices play vital role among others. In this paper, by means of edge dividing trick, the closed formulas of atom bond connectivity index, geometric arithmatic index, Randic index, sum connectivity index and augmented Zagreb index are computed for subdivided friendship graph and line graph of subdivided friendship graph.},
     year = {2019}
    }
    

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    T1  - On Topological Indices of Subdivided and Line Graph of Subdivided Friendship Graph
    AU  - Hifza Iqbal
    AU  - Jabeen
    AU  - Zeeshan Saleem Mufti
    AU  - Muhammad Ozair Ahmad
    Y1  - 2019/05/06
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    DO  - 10.11648/j.dmath.20190401.19
    T2  - International Journal of Discrete Mathematics
    JF  - International Journal of Discrete Mathematics
    JO  - International Journal of Discrete Mathematics
    SP  - 56
    EP  - 60
    PB  - Science Publishing Group
    SN  - 2578-9252
    UR  - https://doi.org/10.11648/j.dmath.20190401.19
    AB  - Topological indices are numerical parameters which characterizes the topology of a molecular graph, they corelate certain physo-chemical properties and importantly they are structure invariant. Degree based topological indices play vital role among others. In this paper, by means of edge dividing trick, the closed formulas of atom bond connectivity index, geometric arithmatic index, Randic index, sum connectivity index and augmented Zagreb index are computed for subdivided friendship graph and line graph of subdivided friendship graph.
    VL  - 4
    IS  - 1
    ER  - 

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Author Information
  • Department of Mathematics and Statistics, The University of Lahore, Raiwind Road Campus, Lahore, Pakistan

  • Department of Mathematics and Statistics, The University of Lahore, Raiwind Road Campus, Lahore, Pakistan

  • Department of Mathematics and Statistics, The University of Lahore, Raiwind Road Campus, Lahore, Pakistan

  • Department of Mathematics and Statistics, The University of Lahore, Raiwind Road Campus, Lahore, Pakistan

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