unique substrings using suffix tree

Posted by user1708762 on Stack Overflow See other posts from Stack Overflow or by user1708762
Published on 2012-10-12T12:59:37Z Indexed on 2012/10/20 5:03 UTC
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Filed under:

c#

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c++

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algorithm

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substring

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suffix-tree

For a given string S of length n-

Optimal algorithm for finding all unique substrings of S can't be less than O(n^2). So, the best algorithm will give us the complexity of O(n^2). As per what I have read, this can be implemented by creating suffix tree for S.

The suffix tree for S can be created in O(n) time. Now, my question is-

How can we use the suffix tree for S to get all the unique substrings of S in O(n^2)?

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