Title
Extremal Problems On Permutations Under Cyclic Equivalence
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 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.
Year
DOI
Venue
1987
10.1016/0012-365X(87)90235-4
DISCRETE MATHEMATICS
Field
DocType
Volume
Discrete mathematics,Equivalence relation,Combinatorics,Permutation,Cyclic permutation,Equivalence (measure theory),Mathematics
Journal
64
Issue
ISSN
Citations 
1
0012-365X
1
PageRank 
References 
Authors
0.39
1
3
Name
Order
Citations
PageRank
P Erdös1626190.85
Nati Linial23872602.77
S Moran310.39