Lecture Notes in Computer Science Volume 1373, 1998, pp 25-38
Date: 20 Jun 2005

A synthesis on partition refinement: A useful routine for strings, graphs, boolean matrices and automata

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Abstract

Partition refinement techniques are used in many algorithms. This tool allows efficient computation of equivalence relations and is somehow dual to union-find algorithms. The goal of this paper is to propose a single routine to quickly implement all these already known algorithms and to solve a large class of potentially new problems. Our framework yields to a unique scheme for correctness proofs and complexity analysis. Various examples are presented to show the different ways of using this routine.