Generalized suffix tree
In computer science, a generalized suffix tree is a suffix tree for a set of strings. Given the set of strings of total length , it is a Patricia tree containing all suffixes of the strings. It is mostly used in bioinformatics.
When constructing such a tree, each string should be padded with a unique out-of-alphabet marker symbol (or string) to ensure no suffix is a substring of another, guaranteeing each suffix is represented by a unique leaf node.
A suffix tree for the strings
BABA is shown in a figure above. They are padded with the unique terminator strings
$1. The numbers in the leaf nodes are string number and starting position. Notice how a left to right traversal of the leaf nodes corresponds to the sorted order of the suffixes. The terminators might be strings or unique single symbols. Edges on
$ from the root are left out in this example.
An alternative to building a generalized suffix tree is to concatenate the strings, and build a regular suffix tree or suffix array for the resulting string. When hits are evaluated after a search, global positions are mapped into documents and local positions with some algorithm and/or data structure, such as a binary search in the starting/ending positions of the documents.
- Paul Bieganski; John Riedl; John Carlis; Ernest F. Retzel (1994). "Generalized Suffix Trees for Biological Sequence Data". Biotechnology Computing, Proceedings of the Twenty-Seventh Hawaii International Conference on. pp. 35&ndash, 44.
- Gusfield, Dan (1999) . Algorithms on Strings, Trees and Sequences: Computer Science and Computational Biology. USA: Cambridge University Press. ISBN 0-521-58519-8.
- Media related to Generalized suffix tree at Wikimedia Commons
- A C implementation of Generalized Suffix Tree for two strings