3 papers
math.CO2025
On the Metric Dimension of Generalized Petersen Graphs
Rui Gao, Yingqing Xiao, Zhanqi Zhang
The metric dimension of a graph is defined as the minimum number of vertices in a subset such that all other vertices are uniquely determined by their distances…
math.MG2018
Three strongly hyperbolic metrics on ptolemy spaces
Yingqing Xiao, Zhanqi Zhang
Recently, strongly hyperbolic space as certain analytic enhancements of Gromov hyperbolic space was introduced by B. Nica and J. Spakula. In this note, we prove that the log-metric…
math.MG2018
On the quasisymmetric minimality of homogeneous perfect sets
Yingqing Xiao, Zhanqi Zhang
Z. Wen and J. Wu introduced the notion of homogeneous perfect sets as a generalization of Cantor type sets and determined their exact Hausdorff dimension based on the length of the…