TY - GEN

T1 - Computing left-right maximal generic words

AU - Nishimoto, Takaaki

AU - Nakashima, Yuto

AU - Inenaga, Shunsuke

AU - Bannai, Hideo

AU - Takeda, Masayuki

N1 - Publisher Copyright:
© Czech Technical University in Prague, Czech Republic.

PY - 2015

Y1 - 2015

N2 - The maximal generic words problem was proposed by Kucherov et al. (SPIRE 2012). Let D be a set of documents. In this problem, given a pattern P and a threshold δ ≤ |D|, we want to compute all right-maximal extensions of P which occur in at least δ distinct documents. They proposed an O(n)-space data structure which can solve this problem in O(|P| + rocc) time where n is the total length of documents in D and rocc is the number of right-maximal extensions of P. The data structure can be constructed in O(n) time. In this paper, we propose a more generalized problem. Given a pattern P and a threshold δ ≤ |D|, we want to compute all left-right-maximal extensions of P which occur in at least δ distinct documents. We propose an O(n log n)- space data structure which can solve this problem in O(|P| + occ log2 n + rocc log n) time where occ is the number of left-right-maximal extensions of P.

AB - The maximal generic words problem was proposed by Kucherov et al. (SPIRE 2012). Let D be a set of documents. In this problem, given a pattern P and a threshold δ ≤ |D|, we want to compute all right-maximal extensions of P which occur in at least δ distinct documents. They proposed an O(n)-space data structure which can solve this problem in O(|P| + rocc) time where n is the total length of documents in D and rocc is the number of right-maximal extensions of P. The data structure can be constructed in O(n) time. In this paper, we propose a more generalized problem. Given a pattern P and a threshold δ ≤ |D|, we want to compute all left-right-maximal extensions of P which occur in at least δ distinct documents. We propose an O(n log n)- space data structure which can solve this problem in O(|P| + occ log2 n + rocc log n) time where occ is the number of left-right-maximal extensions of P.

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M3 - Conference contribution

AN - SCOPUS:84978468616

T3 - Proceedings of the Prague Stringology Conference 2015, PSC 2015

SP - 5

EP - 16

BT - Proceedings of the Prague Stringology Conference 2015, PSC 2015

A2 - Zd'arek, Jan

A2 - Holub, Jan

PB - Prague Stringology Club

T2 - 19th Prague Stringology Conference, PSC 2015

Y2 - 24 August 2015 through 26 August 2015

ER -