The Randic Index of Trees with given Total Domination Number

نویسندگان
Harun, Fatimah Noor ID 1
Hasni, Roslan ID 2
Ahmad Jamri, Ayu Ameliatul Shahilah ID 3
Arif, Nabeel Ezzuldin ID 4

1 UMT Terengganu

2 School of Informatics and Applied Mathematics Universiti Malaysia Terengganu UMT Terengganu

3 UMT Terengganu

4 Tikrit University

doi
10.22052/ijmc.2021.243170.1591
چکیده

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.

کلیدواژه‌ها
Randi{'c} index, total domination number, tree