@techreport{GasieniecIndykKrysta96,
TITLE = {External inverse pattern matching},
AUTHOR = {Gasieniec, Leszek and Indyk, Piotr and Krysta, Piotr},
LANGUAGE = {eng},
NUMBER = {MPI-I-1996-1-030},
INSTITUTION = {Max-Planck-Institut f{\"u}r Informatik},
ADDRESS = {Saarbr{\"u}cken},
YEAR = {1996},
DATE = {1996},
ABSTRACT = {We consider {\sl external inverse pattern matching} problem. Given a text $\t$ of length $n$ over an ordered alphabet $\Sigma$, such that $|\Sigma|=\sigma$, and a number $m\le n$. The entire problem is to find a pattern $\pe\in \Sigma^m$ which is not a subword of $\t$ and which maximizes the sum of Hamming distances between $\pe$ and all subwords of $\t$ of length $m$. We present optimal $O(n\log\sigma)$-time algorithm for the external inverse pattern matching problem which substantially improves the only known polynomial $O(nm\log\sigma)$-time algorithm introduced by Amir, Apostolico and Lewenstein. Moreover we discuss a fast parallel implementation of our algorithm on the CREW PRAM model.},
TYPE = {Research Report / Max-Planck-Institut für Informatik},
}