@article{Liu2022, 
author = {Chang Liu and Jianping Li},
title = {Sharp bounds on the zeroth-order general Randić index of trees in terms of domination number},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {2},
pages = {2529-2542},
keywords = {the zeroth-order general Randić index, extremal trees, domination number},
url = {https://www.sciopen.com/article/10.3934/math.2022142},
doi = {10.3934/math.2022142},
abstract = {The zeroth-order general Randić index of graph    G  =  (      V    G    ,      E    G    ), denoted by            0        R          α        (  G  ), is the sum of items    (      d          v            )          α       over all vertices    v  ∈      V    G  , where    α is a pertinently chosen real number. In this paper, we obtain the sharp upper and lower bounds on            0        R          α       of trees with a given domination number    γ, for    α  ∈  (  −  ∞  ,  0  )  ∪  (  1  ,  ∞  ) and    α  ∈  (  0  ,  1  ), respectively. The corresponding extremal graphs of these bounds are also characterized.}
}