Randi{'c} index belongs to the most well-known topological indices in chemical graph theory. In this paper, we find upper bound for the Randi{'c} index of trees in terms of the order and the total domination number. The extremal trees are characterized.
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Hasni, R., Ahmad Jamri, A. A. S., Arif, N., & Harun, F. (2021). The Randic Index of Trees with given Total Domination Number. Iranian Journal of Mathematical Chemistry, 12(4), 225-237. doi: 10.22052/ijmc.2021.243170.1591
MLA
Roslan Hasni; Ayu Ameliatul Shahilah Ahmad Jamri; Nabeel Ezzuldin Arif; Fatimah Noor Harun. "The Randic Index of Trees with given Total Domination Number", Iranian Journal of Mathematical Chemistry, 12, 4, 2021, 225-237. doi: 10.22052/ijmc.2021.243170.1591
HARVARD
Hasni, R., Ahmad Jamri, A. A. S., Arif, N., Harun, F. (2021). 'The Randic Index of Trees with given Total Domination Number', Iranian Journal of Mathematical Chemistry, 12(4), pp. 225-237. doi: 10.22052/ijmc.2021.243170.1591
VANCOUVER
Hasni, R., Ahmad Jamri, A. A. S., Arif, N., Harun, F. The Randic Index of Trees with given Total Domination Number. Iranian Journal of Mathematical Chemistry, 2021; 12(4): 225-237. doi: 10.22052/ijmc.2021.243170.1591