TARU PUBLICATIONS
Journal of Discrete Mathematical Sciences and Cryptography cover
Open Access ·Peer-reviewed·ISSN (Online): 2169-0065·ISSN (Print): 0972-0529

Monthly Journal: Publishes theoretical and applied research in all areas of Discrete Mathematical Sciences, Cryptography, Combinatorics, Elliptic Curves and Information Security.

Issues up to 2022 co-published with and available at:Taylor & Francis Online
submissions@tarupublications.com
Open Access Research Article

A note on eccentricity based topological indices of honeycomb, oxide and 2-power interconnection networks

, , , *

* Corresponding author · click or hover a name for details

pp. 231–253Vol. 26Issue 1February 2021DOI: 10.1080/09720529.2021.1935095 Crossmark XML
Received:
31 Oct 2020
Accepted:
31 Mar 2021
Published Online:
15 Nov 2021
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-1354
Pages:
231–253

Abstract

In a series of papers, Imran et al. reported the total eccentricity index, the average eccentricity index, the eccentricity-based Zagreb indices, the atom-bond connectivity index, and the geometric arithmetic index of honeycomb networks, hypertrees, X-trees, and oxide networks. In this paper, it is demonstrated that these computations contain flaws. Corrected, and in many cases also simplified, formulas are also obtained.

Keywords

Subject Classifications

05C0505C1005C1205C9092E1068R10

References

  1. A. Ahmad, K. Elahi, R. Hasni, M. F. Nadeem, Computing the degree based topological indices of line graph of benzene ring embedded in P-type-surface in 2D network, Journal of Information and Optimization Sciences, 40(7) (2019) 1511–1528, DOI: https://doi.org/10.1080/02522667.2018.1552411 [Taylor & Francis Online], [Web of Science ®], [Google Scholar]
  2. F. Ali, M. Salman, A. Hafeez, S. Huang, On computation of some distance-based topological indices on circulant networks-II, Journal of Information and Optimization Sciences, 39(4) (2018) 759–782, DOI: https://doi.org/10.1080/02522667.2016.1223588 [Taylor & Francis Online], [Web of Science ®], [Google Scholar]
  3. M. Cancan, D. Afzal, S. Hussain, A. Maqbool, F. Afzal, Some new topological indices of silicate network via M-polynomial, Journal of Discrete Mathematical Sciences and Cryptography, 23(6) (2020) 1157– 1171, DOI: https://doi.org/10.1080/09720529.2020.1809776 [Taylor & Francis Online], [Web of Science ®], [Google Scholar]
  4. M. Cancan, S. Ediz, H. M. U. Rehman, D. Afzal, M-polynomial and topological indices Poly (EThyleneAmidoAmine) dendrimers, Journal of Information and Optimization Sciences 41 (2020) 1117–1131. doi: https://doi.org/10.1080/02522667.2020.1745383 [Taylor & Francis Online], [Web of Science ®], [Google Scholar]
  5. R. M. Casablanca, P. Dankelmann, Distance and eccentric sequences to bound the Wiener index, Hosoya polynomial and the average eccentricity in the strong products of graphs, Discrete Applied Mathematics 263 (2019) 105–117. doi: https://doi.org/10.1016/j.dam.2018.07.009 [Crossref], [Web of Science ®], [Google Scholar]
  6. E. Deutsch, S. Klavžar, M-polynomial and degree-based topological indices, Iranian Journal of Mathematical Chemistry 6 (2015) 93–102. [Web of Science ®], [Google Scholar]
  7. E. Deutsch, S. Klavžar, On the M-polynomial of planar chemical graphs, Iranian Journal of Mathematical Chemistry 11 (2020) 65–71. [Web of Science ®], [Google Scholar]
  8. R. Farooq, M. Ali Malik, On some eccentricity based topological indices of nanostar dendrimers, Optoelectronics and Advanced Materials–Rapid Communications 9 (2015) 842–849. [Web of Science ®], [Google Scholar]
  9. W. Gao, H. Wua, M. K. Siddiqui, A. Q. Baig, Study of biological networks using graph theory, Saudi Journal of Biological Sciences 25 (2018) 1212–1219. doi: https://doi.org/10.1016/j.sjbs.2017.11.022 [Crossref], [PubMed], [Web of Science ®], [Google Scholar]
  10. M. Ghorbani, A. Khaki, A note on the fourth version of geometric- arithmetic index, Optoelectronics and Advanced Materials–Rapid Communications 4 (2010) 2212–2215. [Web of Science ®], [Google Scholar]
  11. M. Ghorbani, M. A. Hosseinzadeh, A new version of Zagreb indices, Filomat 26 (2012) 93–100. doi: https://doi.org/10.2298/FIL1201093G [Crossref], [Web of Science ®], [Google Scholar]
  12. J. R. Goodman, C. H. Sequin, A multiprocessor interconnection topology, IEEE Transactions on Computers 30 (1981) 923–933. doi: https://doi.org/10.1109/TC.1981.1675731 [Crossref], [Web of Science ®], [Google Scholar]
  13. I. Gutman
Views: 289Downloads: 115Citations: 0