The Values of Eccentricity-Based Topological Indices of Diamond Graphs

Volume: 22 October 5, 2018

The Values of Eccentricity-Based Topological Indices of Diamond Graphs

Abstract

Graph theory has been studied different areas such as information, mathematics and chemistry sciences. Especially, it has been the most important mathematical tools for the study the analysis of chemistry. A topological index has been a numerical descriptor of the molecular structure derived from the corresponding molecular graph, also it has used vulnerability of chemical graphs. The vulnerability of a graph has been the reliability of the graph after the disruption of  some vertices or edges until breakdown. There are a lot of topological indices which have been defined. Furthermore, the diamond graphs have been defined recently. In this paper, exact formulas for the eccentricity-based topological indices of diamond graphs have been obtained.

Keywords

References

  1. [1] Wiener, H. 1947. Structrual determination of paraffin boiling points. Journal of the American Chemical Society, 69(1), 17-20.
  2. [2] Dobrynin A. A., Entringer, R. , Gutman, I., 2001. Wiener index of trees: theory and applications. Acta Applicandae Mathematicae, 66 , 211–249.
  3. [3] Todeschini R., Consonni, V. 2000. Handbook of Molecular Descriptors. Wiley-VCH Verlag GmbH&Co. KGaA, Weinheim, 668s.
  4. [4] Turacı, T. 2016. Zagreb Eccentricity Indices of Cycles Related Graphs. Ars Combinatoria, 125, 247-256.
  5. [5] West, D.B. 1996. Introduction to Graph Theory, 2nd edition. Prentice Hall, Upper Saddle, River, 512s.
  6. [6] Harary F., Buckley, F. 1989. Distance in Graphs. Addison-Wesley Publishing Company, 352s.
  7. [7] Gallian, J.A. 2014. Graph labeling, Electronic Journal of Combinatorics, 17, (Dynamic Survey #DS6).
  8. [8] Shulhany, M.A., Salman, A.N.M. 2015. Bilangan Terhubung Pelangi Graf Berlian. Prosiding Seminar Nasional Matematika dan Pendidikan Matematika, UMS( 2015), 916–924.

Details

Primary Language

Turkish

Subjects

-

Journal Section

-

Publication Date

October 5, 2018

Submission Date

March 1, 2018

Acceptance Date

-

Published in Issue

Year 2018 Volume: 22

APA
Ökten Turacı, M. (2018). The Values of Eccentricity-Based Topological Indices of Diamond Graphs. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 22, 285-289. https://izlik.org/JA26CF65DC
AMA
1.Ökten Turacı M. The Values of Eccentricity-Based Topological Indices of Diamond Graphs. J. Nat. Appl. Sci. 2018;22:285-289. https://izlik.org/JA26CF65DC
Chicago
Ökten Turacı, Mukaddes. 2018. “The Values of Eccentricity-Based Topological Indices of Diamond Graphs”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22 (October): 285-89. https://izlik.org/JA26CF65DC.
EndNote
Ökten Turacı M (October 1, 2018) The Values of Eccentricity-Based Topological Indices of Diamond Graphs. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22 285–289.
IEEE
[1]M. Ökten Turacı, “The Values of Eccentricity-Based Topological Indices of Diamond Graphs”, J. Nat. Appl. Sci., vol. 22, pp. 285–289, Oct. 2018, [Online]. Available: https://izlik.org/JA26CF65DC
ISNAD
Ökten Turacı, Mukaddes. “The Values of Eccentricity-Based Topological Indices of Diamond Graphs”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22 (October 1, 2018): 285-289. https://izlik.org/JA26CF65DC.
JAMA
1.Ökten Turacı M. The Values of Eccentricity-Based Topological Indices of Diamond Graphs. J. Nat. Appl. Sci. 2018;22:285–289.
MLA
Ökten Turacı, Mukaddes. “The Values of Eccentricity-Based Topological Indices of Diamond Graphs”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol. 22, Oct. 2018, pp. 285-9, https://izlik.org/JA26CF65DC.
Vancouver
1.Mukaddes Ökten Turacı. The Values of Eccentricity-Based Topological Indices of Diamond Graphs. J. Nat. Appl. Sci. [Internet]. 2018 Oct. 1;22:285-9. Available from: https://izlik.org/JA26CF65DC

e-ISSN :1308-6529
Linking ISSN (ISSN-L): 1300-7688

All published articles in the journal can be accessed free of charge and are open access under the Creative Commons CC BY-NC (Attribution-NonCommercial) license. All authors and other journal users are deemed to have accepted this situation. Click here to access detailed information about the CC BY-NC license.