Abstract:A labeled tree (or a trie) is a natural generalization of a string which can also be seen as a compact representation of a set of strings. This paper considers the labeled tree indexing problem, and provides a number of new results on space bound analysis and on algorithms for efficient construction and pattern matching queries. Kosaraju [FOCS 1989] was the first to consider the labeled tree indexing problem and he proposed the suffix tree for a backward trie, where the strings in the trie are read in the leaf… Show more
“…Fici and Gawrychowski [32] showed an optimal O(N + |MAW(T )|)-time algorithm for computing all MAWs for a rooted tree T of size N in the case of integer alphabets. It is known that the DAWG of a tree of size N can have Ω(N 2 ) edges while its number of nodes is still O(N ) [33,34]. Instead of explicitly building the DAWG for T , the algorithm of Fici and Gawrychowski [32] simulates DAWG transitions by cleverly using lowest common ancestor queries on the suffix tree of the reversed input tree T .…”
Section: Other Efficient Algorithms For Computing Mawsmentioning
“…Fici and Gawrychowski [32] showed an optimal O(N + |MAW(T )|)-time algorithm for computing all MAWs for a rooted tree T of size N in the case of integer alphabets. It is known that the DAWG of a tree of size N can have Ω(N 2 ) edges while its number of nodes is still O(N ) [33,34]. Instead of explicitly building the DAWG for T , the algorithm of Fici and Gawrychowski [32] simulates DAWG transitions by cleverly using lowest common ancestor queries on the suffix tree of the reversed input tree T .…”
Section: Other Efficient Algorithms For Computing Mawsmentioning
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