On exchangeability-based equivalence relations induced by strongly Robinson and, in particular, by quadripolar Robinson dissimilarity matrices

Let I denote a totally ordered set of n ≥ 1 elements. It is notationally convenient to identify I with the set of the first n integers or, on occasion, with the row vector (1,…,n). In the former case the order on I is embodied in the natural order on the reals, and in the latter case in the ordering amongst the elements of a vector

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