Abstract

Given a setA and a total ordering relation defined on its elements, we consider a partial reconstruction of the ordering. IfS is the totally ordered sequence of the elements ofA, andk is positive integer, the problem ofquasi sorting is introduced as the one of generating ak-sorted sequenceP, where the position of each elementp inP is at a distance bounded byk from the position ofp inS. We present some properties ofk-sorted sequences, and pose the bases for the development of algorithms for generatingk-sorted sequences through element comparisons.

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