In this paper we focus on the minimal deterministic finite automaton S_k that recognizes the set of suffixes of a word w up to k errors. As first results we give acharacterization of the Nerode''s right-invariant congruence that is associated withS_k. This result generalizes the classical characterization described in . As secondresult we present an algorithm that makes use of S_k to accept in an efficient waythe language of all suffixes of w up to k errors in every window of size r of a text,where r is the repetition index of w. Moreover, we give some experimental results onsome well-known words, like prefixes of Fibonacci and Thue-Morse words. Finally,we state a conjecture and an open problem on the size and the construction of thesuffix automaton with mismatches.
|Number of pages||10|
|Journal||Theoretical Computer Science|
|Publication status||Published - 2009|
All Science Journal Classification (ASJC) codes
- Theoretical Computer Science
- Computer Science(all)