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Ali, Haidar, Baig, Abdul Qudair, Shafiq, Muhammad Kashif. (1400). On topological properties of boron triangular sheet BTS(m,n), borophene chain B_36 (n) and melem chain MC(n) nanostructures. فناوری آموزش, 7(1), 39-61. doi: 10.22061/jdma.2022.1932
Haidar Ali; Abdul Qudair Baig; Muhammad Kashif Shafiq. "On topological properties of boron triangular sheet BTS(m,n), borophene chain B_36 (n) and melem chain MC(n) nanostructures". فناوری آموزش, 7, 1, 1400, 39-61. doi: 10.22061/jdma.2022.1932
Ali, Haidar, Baig, Abdul Qudair, Shafiq, Muhammad Kashif. (1400). 'On topological properties of boron triangular sheet BTS(m,n), borophene chain B_36 (n) and melem chain MC(n) nanostructures', فناوری آموزش, 7(1), pp. 39-61. doi: 10.22061/jdma.2022.1932
Ali, Haidar, Baig, Abdul Qudair, Shafiq, Muhammad Kashif. On topological properties of boron triangular sheet BTS(m,n), borophene chain B_36 (n) and melem chain MC(n) nanostructures. فناوری آموزش, 1400; 7(1): 39-61. doi: 10.22061/jdma.2022.1932

On topological properties of boron triangular sheet BTS(m,n), borophene chain B_36 (n) and melem chain MC(n) nanostructures

Journal of Discrete Mathematics and Its Applications
مقاله 5، دوره 7، شماره 1، فروردین 2022، صفحه 39-61    اصل مقاله (573.28 K)
نوع مقاله: Full Length Article
شناسه دیجیتال (DOI): 10.22061/jdma.2022.1932
نویسندگان
Haidar Ali* 1؛ Abdul Qudair Baig2؛ Muhammad Kashif Shafiq3
1Government College University Faisalabad Pakistan
2COMSATS Institute of Information Technology Attock Pakistan
3Government College University, Faisalabad-Pakistan
تاریخ دریافت: 12 بهمن 1400،  تاریخ بازنگری: 17 بهمن 1400،  تاریخ پذیرش: 04 اسفند 1400 
چکیده
Topological indices are numerical parameters of a graph which characterize its topology and are usually graph invariant. In QSAR/QSPR study, physico-chemical properties and topological indices such as Randic, atom-bond connectivity (ABC) and geometric-arithmetic (GA) index are used to predict the bioactivity of chemical compounds. Graph theory has found a considerable use in this area of research.
In this paper, we study and derive analytical closed results of general Randic index R_α (G) for Boron triangular sheet BTS(m,n), Borophene chain of B_36 (n) and Melem chain MC(n). We also compute the general first Zagreb, ABC, GA, ABC 4 and GA 5 indices for sheet and chains for the first time and give closed formulas of these degree based indices.
کلیدواژه‌ها
General Randic index؛ Atom-bond connectivity (ABC) index؛ Geometric-arithmetic (GA) index؛ Boron triangular؛ Borophene
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