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math.MG2024
Distinguishing regular polygons, cycle graphs, and circular metric spaces by the distance multiset and magnitude
Hiroki Kodama, Jun O'Hara
We investigate how effectively finite metric spaces can be distinguished by distance-based invariants. As model spaces, we consider regular polygons, cycle graphs, and their genera…
math.MG2024★ 1 cited
Magnitude function determines generic finite metric spaces
Jun O'Hara
We give sufficient conditions for a finite metric space to be determined by the magnitude function. In particular, a generic finite metric space such that the distances between the…