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Topological Indices of some Nanostructures

M. Bhanumathi1 , M. Thusleem Furjana2

  1. Government Arts College for Women, Sivagangai - 630562, TamilNadu, India.
  2. Dept. of Mathematics, Government Arts College for Women (Autonomous), Pudukkottai - 622001, TamilNadu, India.

Correspondence should be addressed to: tfurjana@yahoo.com.


Section:Research Paper, Product Type: Journal-Paper
Vol.7 , Issue.2 , pp.70-75, Apr-2020


Online published on Apr 30, 2020


Copyright © M. Bhanumathi , M. Thusleem Furjana . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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IEEE Style Citation: M. Bhanumathi , M. Thusleem Furjana, “Topological Indices of some Nanostructures,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.7, Issue.2, pp.70-75, 2020.

MLA Style Citation: M. Bhanumathi , M. Thusleem Furjana "Topological Indices of some Nanostructures." International Journal of Scientific Research in Mathematical and Statistical Sciences 7.2 (2020): 70-75.

APA Style Citation: M. Bhanumathi , M. Thusleem Furjana, (2020). Topological Indices of some Nanostructures. International Journal of Scientific Research in Mathematical and Statistical Sciences, 7(2), 70-75.

BibTex Style Citation:
@article{Bhanumathi_2020,
author = {M. Bhanumathi , M. Thusleem Furjana},
title = {Topological Indices of some Nanostructures},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {4 2020},
volume = {7},
Issue = {2},
month = {4},
year = {2020},
issn = {2347-2693},
pages = {70-75},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1834},
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1834
TI - Topological Indices of some Nanostructures
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - M. Bhanumathi , M. Thusleem Furjana
PY - 2020
DA - 2020/04/30
PB - IJCSE, Indore, INDIA
SP - 70-75
IS - 2
VL - 7
SN - 2347-2693
ER -

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Abstract :
Let G be a connected (p, q) graph and let T(G) be the total graph of a graph G. In this paper, we define three new topological indices, first eccentricity T-index, second eccentricity T-index and third eccentricity T-index using Total graph of a graph. Also, we evaluate the value these indices for some nanostructures and for cycles and complete graphs.

Key-Words / Index Term :
Topological indices, Nanocones, Total graph

References :
[1] R. Balakrishnan and K. Ranganathan, “A Text book of Graph Theory”, Springer verlag, Newyork, 2012.
[2] M.Ghorhani, Mohammad A. Hosseinzadeh, “A new version of Zagreb indices ”, Filomat 26:1,pp. 93-100, 2012.
[3] I.Gutman, N.Trinajstic, Graph Theory and Molecular orbitals. “Total II-electron energy of alternant hydrocarbons”, chems. phys. lett.,17, pp. 535-538, 1972.
[4] F. Harary, “Graph Theory”, Narosa Publication House, 2001.
[5] Keerthi G. Mirajkar, Bhagyashri R. Doddamani, “Some Topological indices of Carbon Nanocones [CNCk(n)] and Nanotori [C4C6C8(P,Q)] ”, International journal of Scientific research in mathematics and statistical sciences, volume-5, Issue -2, pp 35-39, April 2018.
[6] Mohammad Reza Rostami, Benzenoid systems: “A computational study of two topological indices”, Optoelectronics and Advanced materials-Rapid communications, Vol. 7, No. 9-10, pp 776-780, 2013.
[7] Rajesh Kanna M. R, Pradeep Kumar .R, Jagadeesh .R, “Computation of Topological Indices of Dutch wind mill graph”, Open journal of Discrete Mathematics, Volume 6, pp 74-81, 2016.

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