Title
On the longest increasing subsequence of a circular list
Abstract
The longest increasing circular subsequence (LICS) of a list is considered. A Monte Carlo algorithm to compute it is given which has worst case execution time O(n^3^/^2logn) and storage requirement O(n). It is proved that the expected length @m(n) of the LICS satisfies lim"n"-"~@m(n)2n=1. Numerical experiments with the algorithm suggest that |@m(n)-2n|=O(n^1^/^6).
Year
DOI
Venue
2007
10.1016/j.ipl.2006.08.003
Inf. Process. Lett.
Keywords
Field
DocType
worst case execution time,numerical experiment,expected length,monte carlo algorithm,circular subsequence,circular list,storage requirement o,randomized algorithm,longest increasing subsequence,randomized algorithms,satisfiability
Discrete mathematics,Randomized algorithm,Combinatorics,Monte Carlo method,Longest increasing subsequence,Worst-case execution time,Monte Carlo algorithm,Execution time,Subsequence,Mathematics
Journal
Volume
Issue
ISSN
101
2
0020-0190
Citations 
PageRank 
References 
7
0.54
2
Authors
5
Name
Order
Citations
PageRank
M H Albert1798.32
M. D. Atkinson2534.85
Doron Nussbaum38913.49
Jörg-Rüdiger Sack41099166.07
Nicola Santoro570.54