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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(n3/2 log n) and storage requirement O(n). It is proved that the expected length µ(n) of the LICS satisfies limn→∞ µ(n) 2 √ n
Michael H. Albert, Mike D. Atkinson, Doron Nussbau