Sorting and doubling techniques for set partitioning and automata minimization problems
β Scribed by D. Ziadi
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 118 KB
- Volume
- 231
- Category
- Article
- ISSN
- 0304-3975
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β¦ Synopsis
In this paper we present an O(n 2 ) implementation of Moore's algorithm for automata minimization. It is based on an optimal sorting procedure and on basic data structures. We also deepen the link between set partitioning problem and automata minimization problem, and assess the applicability of the doubling technique to each of these problems.
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Given a finite ground set, a set of subsets, and costs on the subsets, the set partitioning problem is to find a minimum cost partition of the ground set. Many combinatorial optimization problems can be formulated as set partitioning problems. We present an approximation algorithm that produces high