Prof. B. L. Robinson

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An Approximation Algorithm for l∞-Fitting Robinson Structures to Distances

In this paper, we present a factor 16 approximation algorithm for the following NP-hard distance fitting problem: given a finite set X and a distance d on X, find a Robinsonian distance dR on X minimizing the l∞-error ||d−dR||∞ = maxx,y∈X{|d(x, y)− dR(x, y)|}. A distance dR on a finite set X is Robinsonian if its matrix can be symmetrically permuted so that its elements do not decrease when mov...

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ژورنال

عنوان ژورنال: Nature

سال: 1935

ISSN: 0028-0836,1476-4687

DOI: 10.1038/136328a0