An ultrametric space comes from a labeled star graph exactly when some point is no farther from any point than that point is from every other point, and its self-isometries match the graph's symmetries exactly when the nonzero distance set has no least element.
Diestel, End spaces and spanning trees, Journal of Combinatorial Theory, Series B, 96 (2006), no
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.GN 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Ultrametric spaces generated by labeled star graphs
An ultrametric space comes from a labeled star graph exactly when some point is no farther from any point than that point is from every other point, and its self-isometries match the graph's symmetries exactly when the nonzero distance set has no least element.