Overlay problems for music and combinatorics
Author(s)
Allali, J
Antoniou, P
Ferraro, P
Iliopoulos, C.S.
Michalakopoulos, S.
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Abstract
Motivated by the identification of the musical structure of pop songs, we introduce combinatorial problems involving overlays (non-overlapping substrings) and the covering of a text t by them. We present 4 problems and suggest solu- tions based on string pattern matching techniques. We show that decision problems of this type can be solved using an Aho-Corasick keyword automaton. We conjecture that one general optimization problem of the type, is NP-complete and introduce a simpler, more pragmatic optimization prob- lem. We solve the latter using suffix trees and finally, we suggest other open problems for further investigation.
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2009-05
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Text
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Proceedings