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Year 2021, Volume: 50 Issue: 5, 1491 - 1499, 15.10.2021
https://doi.org/10.15672/hujms.823694

Abstract

References

  • [1] F. Asif, Z. Zahid, S. Zafar, M.R. Farahani and W. Gao, On topological properties of some convex polytopes by using line operator on their subdivisions, Hacet. J. Math. Stat. 49 (1), 136–146, 2020.
  • [2] R. Farooq and M.A. Malik, On some eccentricity based topological indices of nanostar dendrimers, Optoelectronics and Advanced Materials, Rapid Communications 9 (5- 6), 842–849, 2015.
  • [3] W. Gao, H. Wu, M.K. Siddiqui and A.Q. Baig, Study of biological networks using graph theory, Saudi J. Biol. Sci. 25 (6), 1212–1219, 2018.
  • [4] M. Ghorbani and M.A. Hosseinzade, A new version of Zagreb indices, Filomat 26 (1), 93–100, 2012.
  • [5] M. Imran, M.A. Iqbal, Y. Liu, A.Q. Baig, W. Khalid and M.A. Zaighum, Computing eccentricity-based topological indices of 2-power interconnection networks, J. Chem. 2020, 3794592, 2020.
  • [6] M.K. Siddiqui, M. Imran and M. Saeed, Topological properties of face-centred cubic lattice, Hacet. J. Math. Stat. 49 (1), 195–207, 2020.
  • [7] D. Vukičević and A. Graovac, Note on the comparison of the first and second nor- malized Zagreb eccentricity indices, Acta Chim. Slov. 57 (3), 524–528, 2010.

Study of generalized networks using graph theory

Year 2021, Volume: 50 Issue: 5, 1491 - 1499, 15.10.2021
https://doi.org/10.15672/hujms.823694

Abstract

We study eccentricity-based indices such as Zagreb eccentricity indices, general eccentricity index and total eccentricity index. We present exact values of eccentricity-based indices of generalized networks related to binary and $m$-ary trees, where $m \ge 2$.

References

  • [1] F. Asif, Z. Zahid, S. Zafar, M.R. Farahani and W. Gao, On topological properties of some convex polytopes by using line operator on their subdivisions, Hacet. J. Math. Stat. 49 (1), 136–146, 2020.
  • [2] R. Farooq and M.A. Malik, On some eccentricity based topological indices of nanostar dendrimers, Optoelectronics and Advanced Materials, Rapid Communications 9 (5- 6), 842–849, 2015.
  • [3] W. Gao, H. Wu, M.K. Siddiqui and A.Q. Baig, Study of biological networks using graph theory, Saudi J. Biol. Sci. 25 (6), 1212–1219, 2018.
  • [4] M. Ghorbani and M.A. Hosseinzade, A new version of Zagreb indices, Filomat 26 (1), 93–100, 2012.
  • [5] M. Imran, M.A. Iqbal, Y. Liu, A.Q. Baig, W. Khalid and M.A. Zaighum, Computing eccentricity-based topological indices of 2-power interconnection networks, J. Chem. 2020, 3794592, 2020.
  • [6] M.K. Siddiqui, M. Imran and M. Saeed, Topological properties of face-centred cubic lattice, Hacet. J. Math. Stat. 49 (1), 195–207, 2020.
  • [7] D. Vukičević and A. Graovac, Note on the comparison of the first and second nor- malized Zagreb eccentricity indices, Acta Chim. Slov. 57 (3), 524–528, 2010.
There are 7 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Mathematics
Authors

Tomas Vetrik 0000-0002-0387-7276

Publication Date October 15, 2021
Published in Issue Year 2021 Volume: 50 Issue: 5

Cite

APA Vetrik, T. (2021). Study of generalized networks using graph theory. Hacettepe Journal of Mathematics and Statistics, 50(5), 1491-1499. https://doi.org/10.15672/hujms.823694
AMA Vetrik T. Study of generalized networks using graph theory. Hacettepe Journal of Mathematics and Statistics. October 2021;50(5):1491-1499. doi:10.15672/hujms.823694
Chicago Vetrik, Tomas. “Study of Generalized Networks Using Graph Theory”. Hacettepe Journal of Mathematics and Statistics 50, no. 5 (October 2021): 1491-99. https://doi.org/10.15672/hujms.823694.
EndNote Vetrik T (October 1, 2021) Study of generalized networks using graph theory. Hacettepe Journal of Mathematics and Statistics 50 5 1491–1499.
IEEE T. Vetrik, “Study of generalized networks using graph theory”, Hacettepe Journal of Mathematics and Statistics, vol. 50, no. 5, pp. 1491–1499, 2021, doi: 10.15672/hujms.823694.
ISNAD Vetrik, Tomas. “Study of Generalized Networks Using Graph Theory”. Hacettepe Journal of Mathematics and Statistics 50/5 (October 2021), 1491-1499. https://doi.org/10.15672/hujms.823694.
JAMA Vetrik T. Study of generalized networks using graph theory. Hacettepe Journal of Mathematics and Statistics. 2021;50:1491–1499.
MLA Vetrik, Tomas. “Study of Generalized Networks Using Graph Theory”. Hacettepe Journal of Mathematics and Statistics, vol. 50, no. 5, 2021, pp. 1491-9, doi:10.15672/hujms.823694.
Vancouver Vetrik T. Study of generalized networks using graph theory. Hacettepe Journal of Mathematics and Statistics. 2021;50(5):1491-9.