RT Journal Article
T1 Upper bound for the geometric-arithmetic index of trees with given domination number
A1 Bermudo Navarrete, Sergio
K1 Geometric-arithmetic index
K1 Upper bound
K1 Trees
K1 Domination number
AB Given a graph G with vertex set  and edge set , the geometric-arithmetic index is the value where  and  denote the degrees of the vertices , respectively. In this work we present an upper bound for the geometric-arithmetic index of trees in terms of the order and the domination number, and we characterize the extremal trees for this upper bound. Finally, using a known relation between the geometric-arithmetic and arithmetic-geometric indices, we deduce a lower bound for the arithmetic-geometric index using the same parameters.
PB Elsevier
YR 2023
FD 2023
LK http://hdl.handle.net/10433/15148
UL http://hdl.handle.net/10433/15148
LA en
NO Discrete Mathematics, Volume 346, Issue 1, 2023, 113172
NO Universidad Pablo de Olavide
DS RIO
RD May 7, 2026