Necklace swap problem for rhythmic similarity measures

Yoan José Pinzó Ardila; Raphaël Clifford; Costas S. Iliopoulos; Gad M. Landau; Manal Mohamed

doi:10.1142/S0219876208001583

Necklace swap problem for rhythmic similarity measures

Yoan José Pinzó Ardila, Raphaël Clifford, Costas S. Iliopoulos, Gad M. Landau, Manal Mohamed

Department of Computer Science

Research output: Contribution to journal › Article › peer-review

Abstract

Given two n-bit (cyclic) binary strings, A and B, represented on a circle (necklace instances), let each sequence have the same number (k) of 1's. We are interested in computing the cyclic swap distance between A and B, i.e. the minimum number of swaps needed to convert A to B, minimized over all possible rotations of B. We show that, given the compressed representation of A and B, this distance may be computed in O(k²).

Original language	English
Pages (from-to)	351-363
Number of pages	13
Journal	International Journal of Computational Methods
Volume	5
Issue number	3
DOIs	https://doi.org/10.1142/S0219876208001583
State	Published - 2008

Bibliographical note

Funding Information:
∗Partially supported by the Israel Science Foundation grant 35/05.

Keywords

Cyclic strings
Music retrieval
Repeated patterns
Rhythmic/melodic similarity
Swap distance

ASJC Scopus subject areas

Computer Science (miscellaneous)
Computational Mathematics

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10.1142/S0219876208001583

Cite this

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title = "Necklace swap problem for rhythmic similarity measures",

abstract = "Given two n-bit (cyclic) binary strings, A and B, represented on a circle (necklace instances), let each sequence have the same number (k) of 1's. We are interested in computing the cyclic swap distance between A and B, i.e. the minimum number of swaps needed to convert A to B, minimized over all possible rotations of B. We show that, given the compressed representation of A and B, this distance may be computed in O(k2).",

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AU - Ardila, Yoan José Pinzó

AU - Clifford, Raphaël

AU - Iliopoulos, Costas S.

AU - Landau, Gad M.

AU - Mohamed, Manal

N1 - Funding Information: ∗Partially supported by the Israel Science Foundation grant 35/05.

PY - 2008

Y1 - 2008

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AB - Given two n-bit (cyclic) binary strings, A and B, represented on a circle (necklace instances), let each sequence have the same number (k) of 1's. We are interested in computing the cyclic swap distance between A and B, i.e. the minimum number of swaps needed to convert A to B, minimized over all possible rotations of B. We show that, given the compressed representation of A and B, this distance may be computed in O(k2).

KW - Cyclic strings

KW - Music retrieval

KW - Repeated patterns

KW - Rhythmic/melodic similarity

KW - Swap distance

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JO - International Journal of Computational Methods

JF - International Journal of Computational Methods

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ER -

Necklace swap problem for rhythmic similarity measures

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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