2 papers
math.CO2026
Coarse Menger property of quasi-minor excluded graphs and length spaces
Chun-Hung Liu
Menger's theorem is an important building block of numerous results in the study of graph structure. We consider a variant in terms of coarse geometry. We say that a set of graphs…
math.CO2024
Assouad-Nagata dimension of minor-closed metrics
Chun-Hung Liu
Assouad-Nagata dimension addresses both large and small scale behaviors of metric spaces and is a refinement of Gromov's asymptotic dimension. A metric space is a minor-closed…