SuffixTree

This module is an optimized implementation of Ukkonen's suffix tree algorithm in python. Aiming to support the important text processing functionalities such as:

Search for strings:

✓ Check if a string P of length m is a substring in O(m) time.
✓ Find the first occurrence of the patterns P1,... ,Pq of total length m as substrings in O(m) time.

✓ Find all z occurrences of the patterns P1,... ,Pq of total length m as substrings in O(m+z) time.

• Search for a regular expression P in time expected sublinear in n
• Find for each suffix of a pattern P the length of the longest match between a prefix of P[i... m] and a substring in D in time. This is termed the matching statistics for P

Find properties of the strings:

• Find the longest common substrings of the string Si and Sj in time.
• Find all maximal pairs, maximal repeats or supermaximal repeats in time.
• Find the Lempel–Ziv decomposition in time.[10]
• Find the longest repeated substrings in time.
• Find the most frequently occurring substrings of a minimum length in time.
• Find the shortest strings from that do not occur in D in O(n+z) time, if there are z such strings.
• Find the shortest substrings occurring only once in time.
• Find, for each i the shortest substrings of Si not occurring elsewhere in D in time.

sources:

• http://web.stanford.edu/~mjkay/gusfield.pdf
• On–line construction of suffix trees. Esko Ukkonen
• http://www.geeksforgeeks.org/ukkonens-suffix-tree-construction-part-6/