Extremal problems on permutations under cyclic equivalence

P. Erdös; N. Linial; S. Moran

doi:10.1016/0012-365X(87)90235-4

Extremal problems on permutations under cyclic equivalence

P. Erdös^*, N. Linial, S. Moran

^*Corresponding author for this work

The Rachel and Selim Benin School of Engineering and Computer Science

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

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Abstract

How much can a permutation be simplified by means of cyclic rotations? For functions f:S_n → Z which give a measure of complexity to permutations we are interested in finding F(n) = max min f(σ), where the max is over σ ε{lunate} S_n and the min is over π which are cyclically equivalent to σ. The measures of complexity considered are the number of inversions and the diameter of the permutation. The effect of allowing a reflection as well as rotations is also considered.

Original language	English
Pages (from-to)	1-11
Number of pages	11
Journal	Discrete Mathematics
Volume	64
Issue number	1
DOIs	https://doi.org/10.1016/0012-365X(87)90235-4
State	Published - Mar 1987

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Extremal problems on permutations under cyclic equivalence

Abstract

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