پیوندهای مفید
آمار
| تعداد نشریات | 11 |
| تعداد شمارهها | 237 |
| تعداد مقالات | 2,398 |
| تعداد مشاهده مقاله | 3,830,612 |
| تعداد دریافت فایل اصل مقاله | 2,775,223 |
Topological indices of some families of nanostar dendrimers | ||
| Journal of Discrete Mathematics and Its Applications | ||
| مقاله 4، دوره 7، شماره 4، اسفند 2022، صفحه 223-235 اصل مقاله (396.51 K) | ||
| نوع مقاله: Full Length Article | ||
| شناسه دیجیتال (DOI): 10.22061/jdma.2022.847 | ||
| نویسندگان | ||
| Muhammad Kamran Siddiqui* 1؛ Najma Abdul Rehman2؛ Muhammad Imran3 | ||
| 1Department of Mathematics COMSATS University Islamabad, Sahiwal Campus, 57000, Pakistan | ||
| 2Department of Mathematics, COMSATS University, Islamabad, Sahiwal Campus, 57000, Pakistan. | ||
| 3Department of Mathematics,, School of Natural Sciences (SNS) | ||
| تاریخ دریافت: 08 آبان 1401، تاریخ بازنگری: 18 آبان 1401، تاریخ پذیرش: 28 آبان 1401 | ||
| چکیده | ||
| A molecular graph is hydrogen depleted chemical structure in which vertices denote atoms and edges denote the bonds. Nanostar dendrimers, a type of chemical compound, have potential in fields such as chemistry, nanotechnology, electronics, optics, materials science and architecture. Nanostar dendrimers and their molecular descriptors are being widely used in QSAR/QSPR and these are studies in chemistry and drugj designing as well as modeling of compounds. There are certain types of topological indices like distance based, degree based and counting related topological indices. In this article we gave exacts relations for first and second Zagrebs index, hyper Zagreb index, multiplicative Zagreb indices ass well as first and second Zagreb polynomials for some families of nanostar dendrimers. | ||
| کلیدواژهها | ||
| Hyper zagreb index؛ first multiple zagreb index؛ second multiple zagreb index and zagreb polynomials؛ nanostar dendrimers | ||
| مراجع | ||
|
[1] A. R. Ashrafi, M. Mirzargar, PI Szeged and edge Szeged indices of an infinite family of nanostar dendrimers, Indian J. Chem. 47 (2008) 538 -541. [2] A. T. Balaban, I. Motoc, D. Bonchev, O. Mekenyan, Topological indices for structure- activity correlations, Topics Curr. Chem. 114 (1983) 21–55. [3] M. Eliasi, A. Iranmanesh, I. Gutman, Multiplicative version of first Zagreb index, MATCH Commun. Math. Comput. Chem. 68 (2012) 217–230. [4] B. Furtula, I. Gutman, M. Dehmer, On structure-sensitivity of degree-based topological indices, Appl. Math. Comput. 219 (2013) 8973–8978. [5] I. Gutman, N. Trinajstic, Graph theory and molecular orbitals total ϕ-electron energy of alternate hydrocarbons, Chem. Phys. Lett. 17 (1972) 535–538. [6] M. Ghorbani, N. Azimi, Note on multiple Zagreb indices, Iranian. J. Math. Chem. 3 (2) (2012) 137–143. [7] I. Gutman, K. C. Das, Some Properties of the Second Zagreb Index, MATCH Commun. Math. Comput. Chem. 50 (2004) 103–112. [8] I. Gutman, B. Furtula, Z. K. Vukicevic, G. Popivoda, On Zagreb Indices and Coindices, MATCH Commun. Math. Comput. Chem. 74 (1) (2015) 5–16. [9] I. Gutman, Degree-based topological indices, Croat. Chem. Acta. 86 (2013) 351–361. [10] S. Hayat, M. Imran, Computation of topological indices of certain networks, Appl. Math. Comput. 240 (2014) 213–228. [11] J. Rada, R. Cruz, I. Gutman, Benzenoid systems with extremal vertex-degree-based topological indices, MATCH Commun. Math. Comput. Chem. 72 (2014) 125–136. [12] G. H. Shirdel, H. R. Pour, A. M. Sayadi, The Hyper-Zagreb index of graph operations, Iranian. J. Math. Chem. 4 (2) (2013) 213–220. [13] M. K. Siddiqui, M. Imran, A. Ali, On Zagreb indices, Zagreb polynomials of some nanostar dendrimers, Appl. Math. Comput. 280 (2016) 132-139. | ||
|
آمار تعداد مشاهده مقاله: 2,219 تعداد دریافت فایل اصل مقاله: 764 |
||