SavedAdd your journal

Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 50 Issue: 5

Study of generalized networks using graph theory

Tomas Vetrik(University of the Free State)0000-0002-0387-7276
Pages
—
Publication Date
2021-10-15
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We present exact values of eccentricity-based indices of generalized networks related to binary and $m$-ary trees, where $m \ge 2$.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We study eccentricity-based indices such as Zagreb eccentricity indices, general eccentricity index and total eccentricity index.
📊
Key Findings & Data:We study eccentricity-based indices such as Zagreb eccentricity indices, general eccentricity index and total eccentricity index.
💡
Conclusion & Impact:We present exact values of eccentricity-based indices of generalized networks related to binary and $m$-ary trees, where $m \ge 2$.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:graph theory · eccentricity-based index · network

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 $m \ge 2$.

🔖

Cite This Article

Vetrik, T. (2021). Study of generalized networks using graph theory. Hacettepe Journal of Mathematics and Statistics, Volume: 50 Issue: 5. https://doi.org/10.15672/hujms.823694

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (7)

  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.