Research Article

On computation of some distance-based topological indices of circulant networks

Volume: 47 Number: 6 December 12, 2018
EN

On computation of some distance-based topological indices of circulant networks

Abstract

The distance, $d(u,v)$, between two vertices $u$ and $v$ of a connected graph $G$ is the length of a $u-v$ geodesic in $G$. A large number of graph-distance-based topological indices in various families of graphs and networks have been computed. In this paper, we consider circulant networks and compute three distance-based topological indices, namely the Wiener index, hyper-Wiener index and Schultz molecular topological index on these networks.

Keywords

References

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  5. Klavzar, S. and Gutman, I. A comparison of the Schultz molecular topological index with the Wiener index, J. Chem. Inf. Comut. Sci. 36, 1001-1003, 1996.
  6. Klein, D.J., Lukovits, I. and Gutman, I. On the definition of the hyper-Wiener index for cycle containing structures, J. Chem. Inf. Comput. Sci. 35, 50-52, 1995.
  7. Lukovits, I. in: Diudea, M.V. (Ed.) QSAR/QSPR studies by molecular descriptors, Nova, Huntigton, 31-38, 2001.
  8. Mirzargar, M. and Ashrafi, A.R. Some distance-based topological indices of a non-commuting graph, Hacettepe J. Math. Stat. 41(4), 515-526, 2012.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

December 12, 2018

Submission Date

December 4, 2015

Acceptance Date

January 7, 2016

Published in Issue

Year 2018 Volume: 47 Number: 6

APA
Ali, F., Hafeez, A., Salman, M., & Huang, S. (2018). On computation of some distance-based topological indices of circulant networks. Hacettepe Journal of Mathematics and Statistics, 47(6), 1427-1437. https://izlik.org/JA28JX36XP
AMA
1.Ali F, Hafeez A, Salman M, Huang S. On computation of some distance-based topological indices of circulant networks. Hacettepe Journal of Mathematics and Statistics. 2018;47(6):1427-1437. https://izlik.org/JA28JX36XP
Chicago
Ali, Faisal, Abdul Hafeez, Muhammad Salman, and Shuliang Huang. 2018. “On Computation of Some Distance-Based Topological Indices of Circulant Networks”. Hacettepe Journal of Mathematics and Statistics 47 (6): 1427-37. https://izlik.org/JA28JX36XP.
EndNote
Ali F, Hafeez A, Salman M, Huang S (December 1, 2018) On computation of some distance-based topological indices of circulant networks. Hacettepe Journal of Mathematics and Statistics 47 6 1427–1437.
IEEE
[1]F. Ali, A. Hafeez, M. Salman, and S. Huang, “On computation of some distance-based topological indices of circulant networks”, Hacettepe Journal of Mathematics and Statistics, vol. 47, no. 6, pp. 1427–1437, Dec. 2018, [Online]. Available: https://izlik.org/JA28JX36XP
ISNAD
Ali, Faisal - Hafeez, Abdul - Salman, Muhammad - Huang, Shuliang. “On Computation of Some Distance-Based Topological Indices of Circulant Networks”. Hacettepe Journal of Mathematics and Statistics 47/6 (December 1, 2018): 1427-1437. https://izlik.org/JA28JX36XP.
JAMA
1.Ali F, Hafeez A, Salman M, Huang S. On computation of some distance-based topological indices of circulant networks. Hacettepe Journal of Mathematics and Statistics. 2018;47:1427–1437.
MLA
Ali, Faisal, et al. “On Computation of Some Distance-Based Topological Indices of Circulant Networks”. Hacettepe Journal of Mathematics and Statistics, vol. 47, no. 6, Dec. 2018, pp. 1427-3, https://izlik.org/JA28JX36XP.
Vancouver
1.Faisal Ali, Abdul Hafeez, Muhammad Salman, Shuliang Huang. On computation of some distance-based topological indices of circulant networks. Hacettepe Journal of Mathematics and Statistics [Internet]. 2018 Dec. 1;47(6):1427-3. Available from: https://izlik.org/JA28JX36XP