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Complexity of Finding Alphabet Indexing

Shinichi SHIMOZONO, Satoru MIYANO

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Summary :

For two finite disjoint sets P and Q of strings over an alphabet Σ, an alphabet indexing for P, Q by an indexing alphabet Γ with |Γ||Σ| is a mapping Γ satisfying (P)(Q), where *Γ* is the homomorphism derived from . We defined this notion through experiments of knowledge acquisition from amino acid sequences of proteins by learning algorithms. This paper analyzes the complexity of finding an alphabet indexing. We first show that the problem is NP-complete. Then we give a local search algorithm for this problem and show a result on PLS-completeness.

Publication
IEICE TRANSACTIONS on Information Vol.E78-D No.1 pp.13-18
Publication Date
1995/01/25
Publicized
Online ISSN
DOI
Type of Manuscript
PAPER
Category
Algorithm and Computational Complexity

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