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

Hifza Iqbal; Jabeen; Zeeshan Saleem Mufti; Muhammad Ozair Ahmad

doi:doi:10.11648/j.dmath.20190401.19

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

Hifza Iqbal, Jabeen, Zeeshan Saleem Mufti, Muhammad Ozair Ahmad

Published in International Journal of Discrete Mathematics (Volume 4, Issue 1)

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), 2024. Published by Science Publishing Group

Keywords

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

References

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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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TY  - JOUR
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
PY  - 2019
N1  - https://doi.org/10.11648/j.dmath.20190401.19
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

Hifza Iqbal

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

Department of Mathematics and Statistics, The University of Lahore, Raiwind Road Campus, Lahore, Pakistan
Zeeshan Saleem Mufti

Department of Mathematics and Statistics, The University of Lahore, Raiwind Road Campus, Lahore, Pakistan
Muhammad Ozair Ahmad

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

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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

Copy | Download

@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}
}

Copy | Download

TY  - JOUR
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
PY  - 2019
N1  - https://doi.org/10.11648/j.dmath.20190401.19
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  -

Copy | Download