Some Degree-Based Topological Indices of Base-3 Sierpiński Graphs

Xiujun Zhang; Hong Yang; Yingying Gao; Mohammad Reza Farahani

doi:doi:10.11648/j.sjc.20170503.12

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Some Degree-Based Topological Indices of Base-3 Sierpiński Graphs

Xiujun Zhang, Hong Yang, Yingying Gao, Mohammad Reza Farahani

Published in Science Journal of Chemistry (Volume 5, Issue 3)

Received: 3 June 2017 Accepted: 4 July 2017 Published: 31 July 2017

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Abstract

In this paper, a recursive relation between base-3 Sierpiński graphs rank n and n-1 of some topostructural indices is studied. Based on this relation, The formulae of the First Zagreb index, Second Zagreb index, Randić connectivity index, sum-connectivity index, Geometric-Arithmetic index and Atom-Bond Connectivity index of base-3 Sierpiński graphs are derived.

Published in	Science Journal of Chemistry (Volume 5, Issue 3)
DOI	10.11648/j.sjc.20170503.12
Page(s)	36-41
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), 2017. Published by Science Publishing Group

Keywords

Topological Index, Base-3 Sierpiński Graphs, Zagreb Index, Sum-Connectivity Index, Geometric-Arithmetic Index, Atom-Bond Connectivity Index, Sankruti Index

References

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[7]	Gutman, I., Trinajstic, N. Graph theory and molecular orbitals. Total π-electron energy of alternant hydrocarbons, Chem. Phys. Lett. 1972; 17; 535–538.
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[9]	Klavzar, Sandi, Milutinovic, U. Graphs S (n, k), and a Variant of the Tower of Hanoi Problem. Czech. Math. J. 1997; 47; 95–104.
[10]	Randic, M. The connectivity index 25 years later. J. Mol. Graph. Model. 2001; 20; 19–35.
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[12]	Randic, Milan. Characterization of molecular branching. J. Am. Chem. Soc. 1975; 97; 6609-6615.
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[15]	Zhou, B., Trinajstic, N. On a novel connectivity index. J. Math. Chem. 2009, 46, 1252–1270.
[16]	Lucic, B., Trinajstic, N., Zhou, B. Comparison between the sum-connectivity index and product-connectivity index for benzenoid hydrocarbons. Chem. Phy. Let. 2009; 475; 146–148.
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[18]	Estradamoreno, A., Rodríguezbazan, E. D., Rodríguezvelazquez, J. A. (2015). On the general randic index of polymeric networks modelled by generalized sierpiński graphs. MATCH Commun. Math. Comput. Chem. 2015; 74; 145–160.
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APA Style

Xiujun Zhang, Hong Yang, Yingying Gao, Mohammad Reza Farahani. (2017). Some Degree-Based Topological Indices of Base-3 Sierpiński Graphs. Science Journal of Chemistry, 5(3), 36-41. https://doi.org/10.11648/j.sjc.20170503.12

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ACS Style

Xiujun Zhang; Hong Yang; Yingying Gao; Mohammad Reza Farahani. Some Degree-Based Topological Indices of Base-3 Sierpiński Graphs. Sci. J. Chem. 2017, 5(3), 36-41. doi: 10.11648/j.sjc.20170503.12

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AMA Style

Xiujun Zhang, Hong Yang, Yingying Gao, Mohammad Reza Farahani. Some Degree-Based Topological Indices of Base-3 Sierpiński Graphs. Sci J Chem. 2017;5(3):36-41. doi: 10.11648/j.sjc.20170503.12

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@article{10.11648/j.sjc.20170503.12,
  author = {Xiujun Zhang and Hong Yang and Yingying Gao and Mohammad Reza Farahani},
  title = {Some Degree-Based Topological Indices of Base-3 Sierpiński Graphs},
  journal = {Science Journal of Chemistry},
  volume = {5},
  number = {3},
  pages = {36-41},
  doi = {10.11648/j.sjc.20170503.12},
  url = {https://doi.org/10.11648/j.sjc.20170503.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sjc.20170503.12},
  abstract = {In this paper, a recursive relation between base-3 Sierpiński graphs rank n and n-1 of some topostructural indices is studied. Based on this relation, The formulae of the First Zagreb index, Second Zagreb index, Randić connectivity index, sum-connectivity index, Geometric-Arithmetic index and Atom-Bond Connectivity index of base-3 Sierpiński graphs are derived.},
 year = {2017}
}

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TY  - JOUR
T1  - Some Degree-Based Topological Indices of Base-3 Sierpiński Graphs
AU  - Xiujun Zhang
AU  - Hong Yang
AU  - Yingying Gao
AU  - Mohammad Reza Farahani
Y1  - 2017/07/31
PY  - 2017
N1  - https://doi.org/10.11648/j.sjc.20170503.12
DO  - 10.11648/j.sjc.20170503.12
T2  - Science Journal of Chemistry
JF  - Science Journal of Chemistry
JO  - Science Journal of Chemistry
SP  - 36
EP  - 41
PB  - Science Publishing Group
SN  - 2330-099X
UR  - https://doi.org/10.11648/j.sjc.20170503.12
AB  - In this paper, a recursive relation between base-3 Sierpiński graphs rank n and n-1 of some topostructural indices is studied. Based on this relation, The formulae of the First Zagreb index, Second Zagreb index, Randić connectivity index, sum-connectivity index, Geometric-Arithmetic index and Atom-Bond Connectivity index of base-3 Sierpiński graphs are derived.
VL  - 5
IS  - 3
ER  -

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Author Information

Xiujun Zhang

School of Information Science and Engineering, Chengdu University, Chengdu, China
Hong Yang

School of Information Science and Engineering, Chengdu University, Chengdu, China
Yingying Gao

Colleage of Pharmacy and Biological Engineering, Chengdu University, Chengdu, China
Mohammad Reza Farahani

Department of Applied Mathematics of Iran University of Science and Technology, (IUST) Narmak, Tehran, Iran

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APA Style

Xiujun Zhang, Hong Yang, Yingying Gao, Mohammad Reza Farahani. (2017). Some Degree-Based Topological Indices of Base-3 Sierpiński Graphs. Science Journal of Chemistry, 5(3), 36-41. https://doi.org/10.11648/j.sjc.20170503.12

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ACS Style

Xiujun Zhang; Hong Yang; Yingying Gao; Mohammad Reza Farahani. Some Degree-Based Topological Indices of Base-3 Sierpiński Graphs. Sci. J. Chem. 2017, 5(3), 36-41. doi: 10.11648/j.sjc.20170503.12

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AMA Style

Xiujun Zhang, Hong Yang, Yingying Gao, Mohammad Reza Farahani. Some Degree-Based Topological Indices of Base-3 Sierpiński Graphs. Sci J Chem. 2017;5(3):36-41. doi: 10.11648/j.sjc.20170503.12

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@article{10.11648/j.sjc.20170503.12,
  author = {Xiujun Zhang and Hong Yang and Yingying Gao and Mohammad Reza Farahani},
  title = {Some Degree-Based Topological Indices of Base-3 Sierpiński Graphs},
  journal = {Science Journal of Chemistry},
  volume = {5},
  number = {3},
  pages = {36-41},
  doi = {10.11648/j.sjc.20170503.12},
  url = {https://doi.org/10.11648/j.sjc.20170503.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sjc.20170503.12},
  abstract = {In this paper, a recursive relation between base-3 Sierpiński graphs rank n and n-1 of some topostructural indices is studied. Based on this relation, The formulae of the First Zagreb index, Second Zagreb index, Randić connectivity index, sum-connectivity index, Geometric-Arithmetic index and Atom-Bond Connectivity index of base-3 Sierpiński graphs are derived.},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - Some Degree-Based Topological Indices of Base-3 Sierpiński Graphs
AU  - Xiujun Zhang
AU  - Hong Yang
AU  - Yingying Gao
AU  - Mohammad Reza Farahani
Y1  - 2017/07/31
PY  - 2017
N1  - https://doi.org/10.11648/j.sjc.20170503.12
DO  - 10.11648/j.sjc.20170503.12
T2  - Science Journal of Chemistry
JF  - Science Journal of Chemistry
JO  - Science Journal of Chemistry
SP  - 36
EP  - 41
PB  - Science Publishing Group
SN  - 2330-099X
UR  - https://doi.org/10.11648/j.sjc.20170503.12
AB  - In this paper, a recursive relation between base-3 Sierpiński graphs rank n and n-1 of some topostructural indices is studied. Based on this relation, The formulae of the First Zagreb index, Second Zagreb index, Randić connectivity index, sum-connectivity index, Geometric-Arithmetic index and Atom-Bond Connectivity index of base-3 Sierpiński graphs are derived.
VL  - 5
IS  - 3
ER  -

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