Algorithms for discovering repeated patterns in multidimensional representations of polyphonic music

D Meredith, K Lemström, GA Wiggins - Journal of New Music …, 2002 - Taylor & Francis
In previous approaches to repetition discovery in music, the music to be analysed has been
represented using strings. However, there are certain types of interesting musical repetitions …

An on-line string superprimitivity test

D Breslauer - Information Processing Letters, 1992 - Elsevier
A string w covers another string z if every symbol of z is within some occurrence of w in z. A
string is called superprimitive if it is covered only by itself, and quasiperiodic if it is covered …

Processing compressed texts: A tractability border

Y Lifshits - Annual Symposium on Combinatorial Pattern Matching, 2007 - Springer
What kind of operations can we perform effectively (without full unpacking) with compressed
texts? In this paper we consider three fundamental problems:(1) check the equality of two …

Covering a string

CS Iliopoulos, DWG Moore, K Park - Algorithmica, 1996 - Springer
We consider the problem of finding the repetitive structures of a given string x. The period u
of the string x grasps the repetitiveness of x, since x is a prefix of a string constructed by …

Computing the cover array in linear time

Smyth - Algorithmica, 2002 - Springer
Let x denote a given nonempty string of length n=| x|. A proper substring u of x is a proper
cover of x if and only if every position of x lies within an occurrence of u within x. This paper …

An optimal algorithm to compute all the covers of a string

D Moore, WF Smyth - Information Processing Letters, 1994 - Elsevier
Let x denote a given nonempty string of length n=| x|⩾ 1. A string u is a cover of x if and only
if every position of x lies within an occurrence of u within x. Thus x is always a cover of itself …

Of periods, quasiperiods, repetitions and covers

A Apostolico, D Breslauer - Structures in Logic and Computer Science: A …, 2005 - Springer
Quasiperiodic strings were defined by Apostolico and Ehrenfeucht [3], as strings which are
entirly covered by occurrences of another (shorter) string. This paper surveys a handful of …

[图书][B] Combinatorics, words and symbolic dynamics

V Berthé, M Rigo - 2016 - books.google.com
Internationally recognised researchers look at developing trends in combinatorics with
applications in the study of words and in symbolic dynamics. They explain the important …

The set of parameterized k-covers problem

AA Gorbenko, VY Popov - Theoretical Computer Science, 2012 - Elsevier
The problem of the set of k-covers is a distance measure for strings. Another well-studied
string comparison measure is that of parameterized matching. We consider the problem of …

The approximability of the exemplar breakpoint distance problem

Z Chen, B Fu, B Zhu - International Conference on Algorithmic …, 2006 - Springer
In this paper we present the first set of approximation and inapproximability results for the
Exemplar Breakpoint Distance Problem. Our inapproximability results hold for the simplest …