### Abstract

A suffix tree, which provides us with a linear space full-text index of a given string, is a fundamental data structure for string processing and information retrieval. In this paper we consider the reverse engineering problem on suffix trees: given an unlabeled ordered rooted tree T accompanied with a node-to-node transition function f, infer a string whose suffix tree and its suffix links for inner nodes are isomorphic to T and f, respectively. Also, we consider the enumeration problem in which we enumerate all strings corresponding to an input tree and links. By introducing new characterizations of suffix trees, we show that the reverse engineering problem and the enumeration problem on suffix trees on a binary alphabet can be solved in optimal time.

Original language | English |
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Pages (from-to) | 316-325 |

Number of pages | 10 |

Journal | Discrete Applied Mathematics |

Volume | 163 |

Issue number | PART 3 |

DOIs | |

Publication status | Published - Jan 30 2014 |

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### All Science Journal Classification (ASJC) codes

- Discrete Mathematics and Combinatorics
- Applied Mathematics

### Cite this

**Inferring strings from suffix trees and links on a binary alphabet.** / I, Tomohiro; Inenaga, Shunsuke; Bannai, Hideo; Takeda, Masayuki.

Research output: Contribution to journal › Article

*Discrete Applied Mathematics*, vol. 163, no. PART 3, pp. 316-325. https://doi.org/10.1016/j.dam.2013.02.033

}

TY - JOUR

T1 - Inferring strings from suffix trees and links on a binary alphabet

AU - I, Tomohiro

AU - Inenaga, Shunsuke

AU - Bannai, Hideo

AU - Takeda, Masayuki

PY - 2014/1/30

Y1 - 2014/1/30

N2 - A suffix tree, which provides us with a linear space full-text index of a given string, is a fundamental data structure for string processing and information retrieval. In this paper we consider the reverse engineering problem on suffix trees: given an unlabeled ordered rooted tree T accompanied with a node-to-node transition function f, infer a string whose suffix tree and its suffix links for inner nodes are isomorphic to T and f, respectively. Also, we consider the enumeration problem in which we enumerate all strings corresponding to an input tree and links. By introducing new characterizations of suffix trees, we show that the reverse engineering problem and the enumeration problem on suffix trees on a binary alphabet can be solved in optimal time.

AB - A suffix tree, which provides us with a linear space full-text index of a given string, is a fundamental data structure for string processing and information retrieval. In this paper we consider the reverse engineering problem on suffix trees: given an unlabeled ordered rooted tree T accompanied with a node-to-node transition function f, infer a string whose suffix tree and its suffix links for inner nodes are isomorphic to T and f, respectively. Also, we consider the enumeration problem in which we enumerate all strings corresponding to an input tree and links. By introducing new characterizations of suffix trees, we show that the reverse engineering problem and the enumeration problem on suffix trees on a binary alphabet can be solved in optimal time.

UR - http://www.scopus.com/inward/record.url?scp=84889665144&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84889665144&partnerID=8YFLogxK

U2 - 10.1016/j.dam.2013.02.033

DO - 10.1016/j.dam.2013.02.033

M3 - Article

AN - SCOPUS:84889665144

VL - 163

SP - 316

EP - 325

JO - Discrete Applied Mathematics

JF - Discrete Applied Mathematics

SN - 0166-218X

IS - PART 3

ER -