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Roundness properties of ultrametric spaces

Authors :
Katelynn Kochalski
Elizabeth Wesson
Anthony Weston
Timothy Faver
Heidi Verheggen
Mathav Murugan
Publication Year :
2012

Abstract

We obtain several new characterizations of ultrametric spaces in terms of roundness, generalized roundness, strict p-negative type, and p-polygonal equalities (p > 0). This allows new insight into the isometric embedding of ultrametric spaces into Euclidean spaces. We also consider roundness properties additive metric spaces which are not ultrametric.<br />12 pages

Details

Language :
English
Database :
OpenAIRE
Accession number :
edsair.doi.dedup.....8906b7dd0b62982e9f55b213347afc03