%0 Journal Article
%T Roundness properties of ultrametric spaces
%A Timothy Faver
%A Katelynn Kochalski
%A Mathav Murugan
%A Heidi Verheggen
%A Elizabeth Wesson
%A Anthony Weston
%J Mathematics
%D 2012
%I arXiv
%X 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.
%U http://arxiv.org/abs/1201.6669v5