آمار
| تعداد نشریات | 6 |
| تعداد شمارهها | 122 |
| تعداد مقالات | 1,538 |
| تعداد مشاهده مقاله | 1,628,302 |
| تعداد دریافت فایل اصل مقاله | 1,525,833 |
Relation between $ABS$ index with some other topological indices | ||
| Communications in Combinatorics and Optimization | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 28 تیر 1404 اصل مقاله (409.71 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2025.30348.2429 | ||
| نویسندگان | ||
| Artes Rosalio Jr.1، 2؛ R.U. Gobithaasan* 2؛ Hasni Roslan3؛ N. Jafari Rad4 | ||
| 1Department of Mathematics, College of Arts and Sciences, Mindanao State University - Tawi-Tawi College of Technology and Oceanography, 7500 Bongao, Tawi-Tawi, Philippines | ||
| 2School of Mathematical Sciences, Universiti Sains Malaysia, 11800 USM Penang, Malaysia | ||
| 3Special Interest Group on Modelling and Data Analytics (SIGMDA), Faculty of Computer Science and Mathematics, Universiti Malaysia Terengganu, 21030 UMT Kuala Nerus, Terengganu, Malaysia | ||
| 4Department of Mathematics, Shahed University, Tehran, Iran | ||
| چکیده | ||
| The study of atom-bond sum-connectivity index emerged recently as a variant of atom-bond connectivity index by replacing the product in the denominator in each of the fractions corresponding to every edge by the sum of the degrees. In this paper, we established relationships between the $ABS$ index with some other existing degree-based topological indices in terms of minimum degree and maximum degree of the graph. | ||
| کلیدواژهها | ||
| Quantitative structure-activity relationship (QSAR)؛ quantitative structure-property relationship (QSPR)؛ ABS Index؛ Zagreb Index؛ Sombor Index | ||
| مراجع | ||
|
[1] K. Aarthi, S. Elumalai, S. Balachandran, and S. Mondal, Extremal values of the atom-bond sum-connectivity index in bicyclic graphs, J. Appl. Math. Comput. 69 (2023), no. 6, 4269–4285. https://doi.org/10.1007/s12190-023-01924-1
[2] A. Ali, B. Furtula, I. Redˇzepovi´c, and I. Gutman, Atom-bond sum-connectivity index, J. Math. Chem. 60 (2022), no. 10, 2081–2093. https://doi.org/10.1007/s10910-022-01403-1
[3] A. Ali, I. Gutman, B. Furtula, I. Redžepović, T. Došlić, and Z. Raza, Extremal results and bounds for atom-bond sum-connectivity index, MATCH Commun. Math. Comput. Chem. 92 (2024), 271–314. https://doi.org/10.46793/match.92-2.271A [4] A. Ali, I. Milovanović, E. Milovanović, and M. Matejić, Sharp inequalities for the atom-bond (sum) connectivity index, J. Math. Inequal 17 (2023), no. 4, 1411–1426. http://dx.doi.org/10.7153/jmi-2023-17-92
[5] M. Chen and Y. Zhu, Extremal unicyclic graphs of sombor index, Appl. Math. Comput. 463 (2024), Article ID: 128374. https://doi.org/10.1016/j.amc.2023.128374.
[6] R. Cruz, I. Gutman, and J. Rada, Sombor index of chemical graphs, Appl. Math. Comput. 399 (2021), Article ID: 126018. https://doi.org/10.1016/j.amc.2021.126018. [7] R. Cruz, J. Rada, and W. Sanchez, Extremal unicyclic graphs with respect to vertex-degree-based topological indices, MATCH Commun. Math. Comput. Chem. 88 (2022), 481–503. https://doi.org/10.46793/match.88-3.481C
[8] K.C. Das, I. Gutman, and B. Furtula, On atom-bond connectivity index, Chem. Phys. Lett. 511 (2011), no. 4-6, 452–454. https://doi.org/10.1016/j.cplett.2011.06.049 [9] K.C. Das, I. Gutman, and B. Furtula, On atom–bond connectivity index, Filomat 26 (2012), no. 4, 733–738.
[10] M.V. Diudea, QSPR/QSAR Studies by Molecular Descriptors, Nova Science Publishers, Hauppaauge, NY, USA, 2001.
[11] Z. Du, A. Jahanbai, and S.M. Sheikholeslami, Relationships between Randić index and other topological indices, Commun. Comb. Optim. 6 (2021), no. 1, 137–154. https://doi.org/10.22049/cco.2020.26751.1138.
[12] E. Estrada, Atom–bond connectivity and the energetic of branched alkanes, Chem. Phys. Lett. 463 (2008), no. 4-6, 422–425. https://doi.org/10.1016/j.cplett.2008.08.074
[13] E. Estrada, L. Torres, L. Rodriguez, and I. Gutman, An atom-bond connectivity index: modelling the enthalpy of formation of alkanes, Indian J. Chem., Sect. A: Inorg., Bio-inorg., Phys., Theor. Anal. Chem. 37 (1998), no. 10, 849–855.
[14] S. Filipovski, New bounds for the first Zagreb index, MATCH Commun. Math. Comput. Chem. 85 (2021), no. 2, 303–312.
[15] H. Gonzalez-Diaz, S. Vilar, L. Santana, and E. Uriarte, Medicinal chemistry and bioinformatics-current trends in drugs discovery with networks topological indices, Curr. Top. Med. Chem. 7 (2007), no. 10, 1015–1029. https://doi.org/10.2174/156802607780906771
[16] I. Gutman and O.E. Polansky, Mathematical Concepts in Organic Chemistry, Springer Science & Business Media, 2012.
[17] I. Gutman, I. Redžepović, and B. Furtula, On the product of Sombor and modified Sombor indices, Open J. Discrete Appl. Math 6 (2023), no. 2, 1–6. https://doi.org/10.30538/psrp–odam2023.0083
[18] I. Gutman and N. Trinajstić, Graph theory and molecular orbitals. Total $\varphi$-electron energy of alternant hydrocarbons, Chem. Phys. Lett. 17 (1972), no. 4, 535–538. https://doi.org/10.1016/0009-2614(72)85099-1
[19] R. Hasni, M. Nazri Husin, F. Movahedi, R. Gobithaasan, and M.H. Akhbari, On the difference of atom-bond connectivity index and Randi´c index with some topological indices, Iranian J. Math. Chem. 13 (2022), no. 1, 19–32. https://doi.org/10.22052/ijmc.2022.246069.1611 [20] Y. Hu and F. Wang, On the maximum atom-bond sum-connectivity index of trees, MATCH Commun. Math. Comput. Chem. 91 (2024), 709–723. https://doi.org/10.46793/match.91-3.709H
[21] H. Hua, K.C. Das, and H. Wang, On atom-bond connectivity index of graphs, J. Math. Anal. Appl. 479 (2019), no. 1, 1099–1114. https://doi.org/10.1016/j.jmaa.2019.06.069
[22] V. Kulli, Some new topological indices of graphs, International Journal of Mathematical Archive 10 (2019), no. 5, 62–70.
[23] F. Li, Q. Ye, and H. Lu, The greatest values for atom-bond sum-connectivity index of graphs with given parameters, Discrete Appl. Math. 344 (2024), 188–196. https://doi.org/10.1016/j.dam.2023.11.029
[24] Z. Lin, On relations between atom-bond sum-connectivity index and other connectivity indices, Bull. Int. Math. Virtual Inst. 13 (2023), no. 2, 249–252. https://doi.org/10.7251/BIMVI2302249L | ||
|
آمار تعداد مشاهده مقاله: 267 تعداد دریافت فایل اصل مقاله: 180 |
||