Research Article

A NOTE ON THE WEIGHTED WIENER INDEX AND THE WEIGHTED QUASI WIENER INDEX

Volume: 30 Number: 4 December 11, 2017
EN

A NOTE ON THE WEIGHTED WIENER INDEX AND THE WEIGHTED QUASI WIENER INDEX

Abstract

In this study, we consider the weighted Wiener index and the weighted Quasi Wiener index of simple connected weighted graphs and we find some bounds for the weighted Wiener index and the weighted Quasi Wiener index of the weighted graphs. Moreover, we obtain some results by using these bounds for weighted and unweighted graphs.

Keywords

References

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  3. 3. Cui, Z. and Liu, B., “On Harary Matrix, Harary Index and Harary Energy”, MATCH Commun. Math. Comput. Chem. 68: 815-823, (2012).
  4. 4. Dankelmann, P., Gutman, I., Mukwembi, S., Swart, H.C., “The edge-Wiener Index of a Graph”, Discrete Mathematics 309: 3452-3457 (2009).
  5. 5. Fath-Tabar, G.H., Ashrafi, A.R., “New Upper Bounds for Estrada Index of Bipartite Graphs”, Linear Algebra and its Applications 435: 2607-2611, (2011).
  6. 6. Horn, R.A. and Johnson, C.R., “Matrix Analysis”, 2 nd ed., Cambridge/United Kingdom:Cambridge University Press, 225-260, 391-425, (2012).
  7. 7. Klavzar, S., Nadjafi-Arani, M.J., “Improved Bounds on The Difference Between The Szeged Index and The Wiener Index of Graphs”, European Journal of Combinatorics 39: 148-156, (2014).
  8. 8. Morgan, M.J., Mukwembi, S., Swart, H.C., “A Lower Bound on The Eccentric Connectivity Index of a Graph”, Discrete Applied Mathematics 160: 248-258, (2012).

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Şerife Büyükköse
GAZI UNIV
Türkiye

Nurşah Mutlu
GAZI UNIV
Türkiye

Gülistan Kaya Gök
HAKKARİ ÜNİVERSİTESİ
Türkiye

Publication Date

December 11, 2017

Submission Date

February 13, 2017

Acceptance Date

October 25, 2017

Published in Issue

Year 2017 Volume: 30 Number: 4

APA
Büyükköse, Ş., Mutlu, N., & Kaya Gök, G. (2017). A NOTE ON THE WEIGHTED WIENER INDEX AND THE WEIGHTED QUASI WIENER INDEX. Gazi University Journal of Science, 30(4), 413-419. https://izlik.org/JA87HS96YN
AMA
1.Büyükköse Ş, Mutlu N, Kaya Gök G. A NOTE ON THE WEIGHTED WIENER INDEX AND THE WEIGHTED QUASI WIENER INDEX. Gazi University Journal of Science. 2017;30(4):413-419. https://izlik.org/JA87HS96YN
Chicago
Büyükköse, Şerife, Nurşah Mutlu, and Gülistan Kaya Gök. 2017. “A NOTE ON THE WEIGHTED WIENER INDEX AND THE WEIGHTED QUASI WIENER INDEX”. Gazi University Journal of Science 30 (4): 413-19. https://izlik.org/JA87HS96YN.
EndNote
Büyükköse Ş, Mutlu N, Kaya Gök G (December 1, 2017) A NOTE ON THE WEIGHTED WIENER INDEX AND THE WEIGHTED QUASI WIENER INDEX. Gazi University Journal of Science 30 4 413–419.
IEEE
[1]Ş. Büyükköse, N. Mutlu, and G. Kaya Gök, “A NOTE ON THE WEIGHTED WIENER INDEX AND THE WEIGHTED QUASI WIENER INDEX”, Gazi University Journal of Science, vol. 30, no. 4, pp. 413–419, Dec. 2017, [Online]. Available: https://izlik.org/JA87HS96YN
ISNAD
Büyükköse, Şerife - Mutlu, Nurşah - Kaya Gök, Gülistan. “A NOTE ON THE WEIGHTED WIENER INDEX AND THE WEIGHTED QUASI WIENER INDEX”. Gazi University Journal of Science 30/4 (December 1, 2017): 413-419. https://izlik.org/JA87HS96YN.
JAMA
1.Büyükköse Ş, Mutlu N, Kaya Gök G. A NOTE ON THE WEIGHTED WIENER INDEX AND THE WEIGHTED QUASI WIENER INDEX. Gazi University Journal of Science. 2017;30:413–419.
MLA
Büyükköse, Şerife, et al. “A NOTE ON THE WEIGHTED WIENER INDEX AND THE WEIGHTED QUASI WIENER INDEX”. Gazi University Journal of Science, vol. 30, no. 4, Dec. 2017, pp. 413-9, https://izlik.org/JA87HS96YN.
Vancouver
1.Şerife Büyükköse, Nurşah Mutlu, Gülistan Kaya Gök. A NOTE ON THE WEIGHTED WIENER INDEX AND THE WEIGHTED QUASI WIENER INDEX. Gazi University Journal of Science [Internet]. 2017 Dec. 1;30(4):413-9. Available from: https://izlik.org/JA87HS96YN