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The worst-case space usage of a suffix tree is seen with a fibonacci word, giving the full nodes. An important choice when making a suffix tree implementation is the parent-child relationships between nodes. The most common is using linked lists called sibling lists. Each node has a pointer to its first child, and to the next node in the child ...
You can find the following characteristics in a suffix tree that uses Ukkonen's algorithm: Implicit suffix tree T i+1 is built on top of implicit suffix tree T i. At any given time, Ukkonen's algorithm builds the suffix tree for the characters seen so far and so it has on-line property, allowing the algorithm to have an execution time of O(n).
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 ...
Suffix arrays are closely related to suffix trees: . Suffix arrays can be constructed by performing a depth-first traversal of a suffix tree. The suffix array corresponds to the leaf-labels given in the order in which these are visited during the traversal, if edges are visited in the lexicographical order of their first character.
suffix tree traversal using the suffix links. Kasai et al. (2001) show how to simulate a bottom-up traversal of the suffix tree using only the suffix array and LCP array. Abouelhoda, Kurtz & Ohlebusch (2004) enhance the suffix array with the LCP array and additional data structures and describe how this enhanced suffix array can be used to ...
Anselm Blumer with a drawing of generalized CDAWG for strings ababc and abcab. The concept of suffix automaton was introduced in 1983 [1] by a group of scientists from University of Denver and University of Colorado Boulder consisting of Anselm Blumer, Janet Blumer, Andrzej Ehrenfeucht, David Haussler and Ross McConnell, although similar concepts had earlier been studied alongside suffix trees ...
The conventional suffix array and suffix tree use () bits, which is substantially larger. The basis for the data structure is a recursive decomposition using the "neighbor function," which allows a suffix array to be represented by one of half its length.
Martin Farach-Colton is an American computer scientist, known for his work in streaming algorithms, suffix tree construction, pattern matching in compressed data, cache-oblivious algorithms, and lowest common ancestor data structures.