Computation of certain topological indices of star hexagon network
Bita T. Rajendranbitat@karunya.edu.inDepartment of Basic Science and Humanities KMEA Engineering College Kochi, Kerala, 683561, India0009-0001-3869-4664View full profile → , *S. JebasinghCorresponding authorjebasinghs@karunya.eduDepartment of Mathematics Karunya Institute of Technology and Sciences (Deemed to be University)Coimbatore, Tamil Nadu, 641114, India0000-0002-2929-4618View full profile → , Atulya K. Nagarnagara@hope.ac.ukDepartment of Mathematical Sciences Liverpool Hope UniversityLiverpool, United Kingdom0000-0001-5549-6435View full profile → , P. S. Divyadivya_deepam@karunya.eduDepartment of Mathematics Karunya Institute of Technology and Sciences (Deemed to be University)Coimbatore, Tamil Nadu, 641114, India0000-0002-3836-2432View full profile → , G. Johnsyjohnsyjane@gmail.comDepartment of Physics Easwari Engineering CollegeChennai, Tamil Nadu, 600089, India0000-0002-4919-004XView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 01 May 2025
- Published Online:
- 21 Jul 2026
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JDMSC-2568
- Pages:
- 1–10
Abstract
Keywords
Subject Classifications
References
[1] Y. Huo, H. Ali, M. A. Binyamin, S. S. Asghar, U. Babar, and J. B. Liu, “On topological indices of mth chain hex-derived network of third type,” Frontiers in Physics, vol. 8, p. 593275 (2020).
[2] H. Wiener, “Structural determination of paraffin boiling points,” J. Amer. Chem. Soc., vol. 69, no. 1, pp. 17–20 (1947).
[3] M. S. Chen, K. G. Shin, and D. D. Kandlur, “Addressing, routing, and broadcasting in hexagonal mesh multiprocessors,” IEEE Trans. Comput., vol. 39, no. 1, pp. 10–18 (1990).
[4] H. Ali, A. Sajjad, and A. Sajjad, “On further results of hex derived networks,” Open J. Discret. Appl. Math., vol. 2, no. 1, pp. 32–40 (2019).
[5] E. A. Refaee and A. Ahmad, “A study of hexagon star network with vertex–edge-based topological descriptors,” Complexity, vol. 2021, pp. 1–7 (2021).
[6] A. W. Bharati Rajan, C. Grigorious, and S. Stephen, “On certain topological indices of silicate, honeycomb and hexagonal networks,” J. Comput. Math. Sci., vol. 3, no. 5, pp. 498–556 (2012).
[7] M. Bača, J. Horváthová, M. Mokrišová, A. Semaničová-Feňovčíková, and A. Suhányiová, “On topological indices of a carbon nanotube network,” Can. J. Chem., vol. 93, no. 10, pp. 1157–1160 (2015).
[8] M. Hasani and M. Ghods, “Investigating fuzzy topological indices of linear and multi cyclic naphthalene,” J. Interdisciplinary Math., vol. 28, no. 5, pp. 1779–1793 (2025).
[9] S. T. Jalali and M. Ghods, “Computing certain topological indices of thorny graphs,” J. Discrete Math. Sci. Cryptogr., vol. 26, no. 1, pp. 87–101 (2023).
[10] Z. Raza and J. L. Guirao, “Analysis of degree-based topological indices through M-polynomial of metal trihalides,” J. Discrete Math. Sci. Cryptogr., vol. 29, no. 1, pp. 15–33 (Jan. 2026).
[11] J. R. Tousi and M. Ghods, “Calculation of Revan topological indices in TiO2[m, n] nanotubes,” J. Inf. Optim. Sci., vol. 44, no. 5, pp. 845–854 (2023).
[12] F. Falahati-Nezhad and M. Azari, “Investigating the topological properties of porphyrin-based dendrimers using discrete Adriatic indices,” Journal of Discrete Mathematical Sciences and Cryptography, published online, (2025).
[13] N. Trinajstić, Chemical Graph Theory, 2nd ed. Boca Raton, FL, USA: CRC Press (1992).
[14] W. Gao and M. R. Farahani, “The Zagreb topological indices for a type of Benzenoid systems jagged-rectangle,” J. Interdiscip. Math., vol. 20, no. 5, pp. 1341–1348 (2017).
[15] N. A. Koam, A. Ahmad, and M. F. Nadeem, “Comparative study of valency-based topological descriptors for hexagon star network,” Comput. Syst. Sci. Eng., vol. 36, no. 2, pp. 293–306 (2021).
[16] F. L. Alfeche and V. Barraza, “Closeness centrality of vertices in graphs under some operations,” Eur. J. Pure Appl. Math., vol. 16, no. 3, pp. 1406–1420 (2023).
[17] X. He and N. Meghanathan, “Correlation of eigenvector centrality to other centrality measures: Random, small-world and real-world networks,” in Proc. 8th Int. Conf. Networks & Communications (NeCoM), pp. 9–18 (2016).
[18] I. Gutman, E. Milovanović, and I. Milovanović, “Beyond the Zagreb indices,” AKCE International Journal of Graphs and Combinatorics, vol. 17, no. 1, pp. 74–85 (2020), doi: 10.1016/j.akcej.2018.05.002.
[19] I. Gutman and N. Trinajstic, “Graph theory and molecular orbitals: Total π-electron energy of alternant hydrocarbons,” Chem. Phys. Lett., vol. 17, no. 4, pp. 535–538 (1972).
[20] M. Randic, “On characterization of molecular branching,” J. Amer. Chem. Soc., vol. 97, no. 23, pp. 6609–6615 (1975).
[21] B. Zhou and N. Trinajstić, “On a novel connectivity index,” Journal of Mathematical Chemistry, vol. 46, no. 4, pp. 1252–1270 (2009), doi: 10.1007/s10910-008-9515-z.
[22] P. S. Ranjini, V. Lokesha, and A. Usha, “Relation between phenylene and hexagonal squeeze using harmonic index,” Int. J. Graph Theory, vol. 1, no. 4, pp. 116–121 (2013).
[23] G. H. Shirdel, H. Rezapour, and A. M. Sayadi, “The Hyper-Zagreb index of graph operations,” Iranian J. Math. Chem., vol. 4, no. 2, pp. 213–220 (2013).
[24] L. Zhong, “The harmonic index for graphs,” Applied Mathematics Letters, vol. 25, no. 3, pp. 561–566 (2012), doi: 10.1016/j.aml.2011.09.059.
[25] E. Estrada, L. Torres, L. Rodriguez, and I. Gutman, “An atom-bond connectivity index: Modelling the enthalpy of formation of alkanes,” Indian J. Chem. A, vol. 37, no. 10, pp. 849–855 (1998).
[26] D. Vukičević and B. Furtula, “Topological index based on the ratios of geometrical and arithmetical means of end-vertex degrees of edges,” Journal of Mathematical Chemistry, vol. 46, no. 4, pp. 1369–1376 (2009), doi: 10.1007/s10910-009-9520-x.




