@article{Cui2025, 
author = {Chunqiang Cui and Jin Chen and Shixun Lin},
title = {Metric and strong metric dimension in TI-power graphs of finite groups},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {1},
pages = {705-720},
keywords = {finite group, metric dimension, TI-power graph, strong metric dimension},
url = {https://www.sciopen.com/article/10.3934/math.2025032},
doi = {10.3934/math.2025032},
abstract = {Given a finite group    G with the identity    e, the TI-power graph (trivial intersection power graph) of    G is an undirected graph with vertex set    G, in which two distinct vertices    x and    y are adjacent if    ⟨  x  ⟩  ∩  ⟨  y  ⟩  =  {  e  }. In this paper, we obtain closed formulas for the metric and strong metric dimensions of the TI-power graph of a finite group. As applications, we compute the metric and strong metric dimensions of the TI-power graph of a cyclic group, a dihedral group, a generalized quaternion group, and a semi-dihedral group.}
}