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math.FA2012
Roundness properties of ultrametric spaces
Timothy Faver, Katelynn Kochalski, Mathav Murugan +3
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…
math.FA2011
Generalized roundness of vertex transitive graphs
Mathav Kishore Murugan
We study the generalized roundness of finite metric spaces whose distance matrix has the property that every row of is a permutation of the first row. The analysis provides…