254
Views
2
CrossRef citations to date
0
Altmetric
Research Article

An Algebraic Approach to Calculate Some Topological Coindices and QSPR Analysis of Some Novel Drugs Used in the Treatment of Breast Cancer

&
Pages 2226-2243 | Received 14 Oct 2022, Accepted 09 May 2023, Published online: 24 May 2023

References

  • Medicalpark 2022. medicalpark.com.tr/meme-sagligi-unitesi/b-6895
  • Memekanserindeyenilikler 2022. memekanserindeyenilikler.com/meme-kanseri-tedavi-yö ntemleri/meme-kanserinde-ilaç-tedavileri
  • Ilaç ve ilaç kimya endüstrisi iş verenler sendikas i: ilaç tüketimi; ilaç ve ilaç endüstrisi, 1. bask i, s. 34–43. 1984.
  • Qing Ye, Chang-Yu Hsieh, Ziyi Yang, Yu Kang, Jiming Chen, Dongsheng Cao, Shibo He, and Tingjun Hou, “A Unified Drug—Target Interaction Prediction Framework Based on Knowledge Graph and Recommendation System,” Nature Communications 12, no. 1 (2021): 6775. doi:10.1038/s41467-021-27137-3
  • E. Ak I-Şener, and İ. Yalç In, Farmasötik/Medisinal Kimya’da İlaç Etken Madde Tasar im Yöntemleri-1. Ankara-Turkey: Ankara University Faculty of Pharmacy Publications.
  • Y. Wang, F. Guo, B. Rong, H. Zhang, and J. Alsultan, “The Control Relationship between the Enterprise’s Electrical Equipment and Mechanical Equipment Based on Graph Theory,” Applied Mathematics and Nonlinear Sciences (2022): 1–9. doi:10.2478/amns.2022.2.00022
  • X. Sun, T. Hao, and X. Li, “Knowledge Graph Construction and Internet of Things Optimisation for Power Grid Data Knowledge Extraction,” Applied Mathematics and Nonlinear Sciences (2022): 1–10. doi:10.2478/amns.2021.2.00283
  • W. Liu, Z. Zhu, K. Cai, D. Pu, and Y. Du, “Application of Knowledge Graph in Smart Grid Fault Diagnosis,” Applied Mathematics and Nonlinear Sciences (2022): 1–12. doi:10.2478/amns.2021.2.00258
  • E. Estrada, and D. Bonchev, “Chemical Graph Theory,” Handbook of Graph Theory 13, no. 1 (2013):1538–1558.
  • Sourav Mondal, Nilanjan De, and Anita Pal, “On Neighbourhood Zagreb Index of Product Graphs,” arXiv:1805.05273 (2018).
  • Ö. Çolakoğlu, “QSPR Modeling with Topological Indices of Some Potential Drug Candidates against COVID-19,” Journal of Mathematics 2022 (2022): 1–9. doi:10.1155/2022/3785932
  • S. A. K. Kirmani, P. Ali, and F. Azam, “Topological Indices and QSPR/QSAR Analysis of Some Antiviral Drugs Being Investigated for the Treatment of COVID-19 Patients,” International Journal of Quantum Chemistry 121, no. 9 (2021): e26594. doi:10.1002/qua.26594
  • N. De, S. Nayeem, M. Abu, and A. Pal, “The F-Coindex of Some Graph Operations,” Springer Plus 5, no. 1 (2016): 1–3.
  • A. R. Ashrafi, T. R. Doslic, and A. Hamzeh, “The Zagreb Coindices of Graph Operations,” Discrete Applied Mathematics 158, no. 15 (2010): 1571–1578. doi:10.1016/j.dam.2010.05.017
  • I. Gutman, B. Furtula, ŽK. Vukićević, and G. Papivoda, “On Zagreb Indices and Coindices,” MATCH Communications in Mathematical and in Computer Chemistry 74, no. 1 (2015): 5–16.
  • A. R. Asharafi, T. R. Doslić, and A. Hamzeh, “Extremal Graphs with Respect to the Zagreb Coindices,” MATCH Communications in Mathematical and in Computer Chemistry 65, no. 1 (2015): 85–92.
  • H. Hosoya, “On Some Counting Polynomials in Chemistry,” Discrete Applied Mathematics 19, no. 1–3 (1988): 239–257. doi:10.1016/0166-218X(88)90017-0
  • P. V. Khadikar, “On a Novel Structural Descriptor PI,” National Academy Science Letters 23, no. 7–8 (2000): 113–118.
  • H. P. Schultz, “Topological Organic Chemistry 1. Graph Theory and Topological Indices of Alkanes,” Journal of Chemical Information and Computer Sciences 29, no. 3 (1989): 227–228. doi:10.1021/ci00063a012
  • S. Klavžar, and I. Gutman, “Wiener Number of Vertex-Weighted Graphs and a Chemical Application,” Discrete Applied Mathematics 80, no. 1 (1997): 73–81. doi:10.1016/S0166-218X(97)00070-X
  • E. Deutsch, and S. Klavžar, “On the M-Polynomial of Planar Chemical Graphs,” Iranian Journal of Mathematical Chemistry 11, no. 2 (2020) : 65–71.
  • A. Ali, W. Nazeer, M. Munir, and S. M. Kang, “M-Polynomials and Topological Indices of Zigzag and Rhombic Benzenoid Systems,” Open Chemistry 16, no. 1 (2018): 73–78. doi:10.1515/chem-2018-0010
  • B. Basavanagoud, and A. P. Barangi, “M-Polynomial of Some Cactus Chains and Their Topological Indices,” Open Journal of Discrete Applied Mathematics 2, no. 2 (2019): 59–67. doi:10.30538/psrp-odam2019.0016
  • Y. C. Kwun, A. Farooq, W. Nazeer, Z. Zahid, S. Noreen, and S. M. Kang, “Computations of the M-Polynomials and Degree-Based Topological Indices for Dendrimers and Polyomino Chains,” International Journal of Analytical Chemistry 2018 (2018) : 1–11. doi:10.1155/2018/1709073
  • Y. C. Kwun, A. Ali, W. Nazeer, M. A. Chaudhary, and S. M. Kang, “M-Polynomials and Degree-Based Topological Indices of Triangular, Hourglass, and Jagged-Rectangle Benzenoid Systems,” Journal of Chemistry 2018 (2018): 1–8. doi:10.1155/2018/8213950
  • M. Munir, W. Nazeer, S. Rafique, and S. Kang, “M-Polynomial and Related Topological Indices of Nanostar Dendrimers,” Symmetry 8, no. 9 (2016): 97–108. doi:10.3390/sym8090097
  • M. Munir, W. Nazeer, S. Rafique, and Shin. Kang, “M-Polynomial and Degree-Based Topological Indices of Polyhex Nanotubes,” Symmetry 8, no. 12 (2016): 149–156. doi:10.3390/sym8120149
  • Z. Raza, and M. E. K. Sukaiti, “M-Polynomial and Degree Based Topological Indices of Some Nanostructures,” Symmetry 12, no. 5 (2020): 831. doi:10.3390/sym12050831
  • Ö. Ç. Havare, “Topological Indices and QSPR Modeling of Some Novel Drugs Used in the Cancer Treatment,” International Journal of Quantum Chemistry 121, no. 24 (2021) : e26813. doi:10.1002/qua.26813
  • Ö. Ç. Havare, “Quantitative Structure Analysis of Some Molecules in Drugs Used in the Treatment of COVID-19 with Topological Indices,” Polycyclic Aromatic Compounds 42, no. 8 (2022): 5249–5260. doi:10.1080/10406638.2021.1934045
  • Syed Ahtsham Ul Haq Bokhary, Muhammad Kamran Siddiqui, and Murat Cancan Adnan, “On Topological Indices and QSPR Analysis of Drugs Used for the Treatment of Breast Cancer,” Polycyclic Aromatic Compounds 42, no. 9 (2022): 6233–6253. doi:10.1080/10406638.2021.1977353
  • B. V. Dhanajayamurthy, and G. B. Sophia Shalini, “Reduced Neighbourhood Degree-Based Topological Indices on anti-Cancer Drugs with QSPR Analysis,” Materials Today: Proceedings 54 (2022): 608–614. doi:10.1016/j.matpr.2021.10.198
  • A. Rauf, M. Naeem, J. Rahman, and A. V. Saleem, “QSPR Study of Ve-Degree Based End Vertice Edge Entropy Indices with Physicochemical Properties of Breast Cancer Drugs,” Polycyclic Aromatic Compounds (2022): 1–14. doi:10.1080/10406638.2022.2086272
  • M. C. Shanmukha, A. Usha, B. M. Praveen, and A. Douhadji, “Degree-Based Molecular Descriptors and QSPR Analysis of Breast Cancer Drugs, Journal of Mathematics,” Journal of Mathematics 2022 (2022): 1–13. doi:10.1155/2022/5880011
  • M. Berhe, and C. Wang, “Computation of Certain Topological Coindicesof Graphene Sheet and C4C8(S) Nanotubes and Nanotorus,” Applied Mathematics and Nonlinear Sciences 4, no. 2 (2019): 455–468. doi:10.2478/AMNS.2019.2.00043
  • PubChem. “An Open Chemistry Database at the National Institutes of Health (NIH)” 2022. https://pubchem.ncbi.nlm.nih.gov/
  • Graph Online. “Graph Online is Online Project Aimed at Creation and Easy Visualization of Graph and Shortest Path Searching,” https://graphonline.ru/en/(accessed September, 2022).
  • IBM Corp. Released. 2021. IBM SPSS Statistics for Windows, Version 28.0. Armonk, NY: IBM Corp.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.