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An equivalence class decomposition of finite metric spaces via Gromov products
(Elsevier Science Bv, 2017)
Let (X, d) be a finite metric space with elements P-i, i = 1,..., n and with the distance functions d(ij) The Gromov Product of the "triangle" (P-i, P-j, P-k) with vertices P-t, P-j and P-k at the vertex Pi is defined by ...
Gromov product structures, quadrangle structures and split metric spaces
(Elsevier B.V., 2021-06)
Let (X,d) be a finite metric space with elements Pi, i=1,…,n and with distances dij≔d(Pi,Pj) for i,j=1,…,n. The “Gromov product” Δijk, is defined as [Formula presented]. (X,d) is called Δ-generic, if, for each fixed i, the ...