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math.MG2021
On equivalence of unbounded metric spaces at infinity
Viktoriia Bilet, Oleksiy Dovgoshey
Let be an unbounded metric space. To investigate the asymptotic behavior of at infinity, one can consider a sequence of rescaling metric spaces $(X, \frac{1}{r_n}…
math.MG2021
Ultrametrics and complete multipartite graphs
Viktoriia Bilet, Oleksiy Dovgoshey, Yuriy Kononov
We describe the class of graphs for which all metric spaces with diametrical graphs belonging to this class are ultrametric. It is shown that a metric space is ultrametric…