Computing Y-index of V-phenylenic nanostructures
*Yusuf ZerenCorresponding authoryzeren@yildiz.edu.trDepartment of MathematicsFaculty of Arts and ScienceYildiz Technical UniversityEsenler, Istanbul, 34220, TurkeyView full profile → , Abdu Alameria.alameri2222@gmail.comDepartment of Biomedical EngineeringFaculty of EngineeringUniversity of Science and TechnologyYemenView full profile → , Mutlu Akarmakar@yildiz.edu.trDepartment of MathematicsFaculty of Arts and ScienceYildiz Technical UniversityEsenler, Istanbul, 34220, TurkeyView full profile → , Mohammed Alsharafialsharafi205010@gmail.comDepartment of MathematicsFaculty of Arts and ScienceYildiz Technical UniversityEsenler, Istanbul, 34220, TurkeyView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 06 Dec 2022
- Published Online:
- 18 Apr 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JDMSC-1832
- Pages:
- 653–665
Abstract
Keywords
Subject Classifications
References
[1] Y. Kwun, M. Munir, S. A. Bokhary, K. Ali, A. Rehman, and I. N. Cangül, “M-Polynomials and topological indices of V-Phenylenic Nanotubes and Nanotori,” Scientific Reports, vol. 7, no. 1, p. 8756 (2017).
[2] M. Alsharafi, M. Shubatah, and A. Alameri, “The forgotten index of complement graph operations and its applications of molecular graph,” Open Journal of Discrete Applied Mathematics, vol. 3, no. 3, pp. 53–61 (2020).
[3] M. Alsharafi, M. Shubatah, and A. Alameri, “The first and second Zagreb index of complement graph and its applications of molecular graph,” Asian Journal of Probability and Statistics, vol. 8, no. 3, pp. 15–30 (2020).
[4] I. Gutman and N. Trinajstić, “Graph theory and molecular orbitals. Total π-electron energy of alternant hydrocarbons,” Chemical Physics Letters, vol. 17, pp. 535–538 (1972).
[5] M. Khalifeh, H. Yousefi-Azari, and A. R. Ashrafi, “The first and second Zagreb indices of some graph operations,” Discrete Applied Mathematics, vol. 157, no. 4, pp. 804–811 (2009).
[6] B. Furtula and I. Gutman, “A forgotten topological index,” Journal of Mathematical Chemistry, vol. 53, no. 4, pp. 1184–1190 (2015).
[7] A. Alameri, N. Al-Naggar, M. Al-Rumaima, and M. Alsharafi, “Y-index of some graph operations,” International Journal of Applied Engineering Research, vol. 15, no. 2, pp. 173–179 (2020).
[8] A. Alameri, M. Al-Rumaima, and M. Almazah, “Y-coindex of graph operations and its applications of molecular descriptors,” Journal of Molecular Structure, vol. 1221, p. 128754 (2020).
[9] A. R. Ashrafi, M. Ghorbani, and M. Jalali, “Computing sadhana polynomial of V-phenylenic nanotubes and nanotori,” Indian Journal of Chemistry, Sect. A, vol. 47, pp. 535–537 (2008).
[10] M. R. Farahani, R. P. Kumar, and M. R. Kanna, “First and second Zagreb indices and polynomials of V-phenylenic nanotubes and nanotori,” International Journal of Pharmaceutical Sciences and Research, vol. 8, no. 1, pp. 330–333 (2017).
[11] M. R. Farahani, M. R. Kanna, and R. P. Kumar, “On the Hyper-Zagreb indices of nano-structures,” Asian Academic Research Journal of Multidisciplinary, vol. 3, no. 1, pp. 115–123 (2016).
[12] M. R. Farahani and W. Gao, “On multiplicative and redefined version of Zagreb indices of V-phenylenic nanotubes and nanotorus,” BJMCS, vol. 13, no. 5, pp. 1–8 (2016).
[13] V. Alamian, A. Bahrami, and B. Edalatzadeh, “PI Polynomial of V-phenylenic nanotubes and nanotori,” International Journal of Molecular Sciences, vol. 9, pp. 229–234 (2008).
[14] Z. Ahmad, M. Naseem, M. K. Jamil, M. K. Siddiquid, and M. F. Nadeemd, “New results on eccentric connectivity indices of V-phenylenic nanotube,” Eurasian Chemical Communications, vol. 2, pp. 663–671 (2020).
[15] B. Furtula, I. Gutman, and M. Dehmer, “On structure-sensitivity of degree-based topological indices,” Applied Mathematics and Computation, vol. 219, pp. 8973–8978 (2013).
[16] H. Jiang, M. S. Sardar, K. Ali, S. A. Bokhary, M. Munir, A. Rehman, and I. N. Cangül, “Computing sanskruti index V-phenylenic nanotube and nanotori,” International Journal of Pure and Applied Mathematics, vol. 115, no. 4, pp. 859–865, 2017).
[17] S. Mondal, A. Bhosale, N. De, and A. Pal, “Topological properties of some nanostructures,” Nanosystems: Physics, Chemistry, Mathematics, vol. 11, no. 1, pp. 14–24 (2020).
[18] M. Alsharafi, M. Shubatah, and A. Alameri, “The hyper-Zagreb index of some complement graphs,” Advances in Mathematics: Scientific Journal, vol. 9, no. 6, pp. 3631–3642 (2020).
[19] M. Alsharafi and A. Alameri, “The F-index and coindex of V-phenylenic nanotubes and nanotorus and their molecular complement graphs,” Nanosystems: Physics, Chemistry, Mathematics, vol. 12, no. 3, pp. 263–270 (2021).
[20] A. Ayache, A. Alameri, M. Alsharafi, and H. Ahmed, “The second Hyper-Zagreb coindex of chemical graphs and some applications,” Journal of Chemistry, vol. 2021, Article ID 3687533, 8 pages (2021).




