Solving Cyclic Longest Common Subsequence in Quadratic Time
arXiv:1208.0396
Abstract
We present a practical algorithm for the cyclic longest common subsequence (CLCS) problem that runs in O(mn) time, where m and n are the lengths of the two input strings. While this is not necessarily an asymptotic improvement over the existing record, it is far simpler to understand and to implement.
Updated references; an O(n^2) solution already exists, though it is terribly unwieldy