Recognition of Robinsonian dissimilarities

We present an O(n3)-time, O(n2)-space algorithm to test whether a dissimilarity d on an n-object set X is Robinsonian, i.e., X admits an ordering such that i≤j≤k implies that d(xi,xk)≥max {d(xi,xj),d(xj,xk)}.RésuméNous présentons un algorithme de complexité O(n3) pour le temps et O(n2) pour l’espace mémoire, afin de tester si une dissimilarité d sur un ensemble X de n objets est de Robinson, i.e., si X admet un ordre tel que i≤j≤k entraîne d(xi,xk)≥max {d(xi,xj),d(xj,xk)}.

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