
We introduce a new compression scheme for labeled trees based on top trees. Our compression scheme is the first to simultaneously take advantage of internal repeats in the tree (as opposed to the classical DAG compression that only exploits rooted subtree repeats) while also supporting fast navigational queries directly on the compressed representation. We show that the new compression scheme achieves close to optimal worst-case compression, can compress exponentially better than DAG compression, is never much worse than DAG compression, and supports navigational queries in logarithmic time.
An extended abstract of this paper appeared at the 40th International Colloquium on Automata, Languages and Programming
FOS: Computer and information sciences, Data structures, Tree compression, top trees, tree compression, pattern matching, Top trees, Computer Science - Data Structures and Algorithms, Data Structures and Algorithms (cs.DS), Pattern matching, Coding and information theory (compaction, compression, models of communication, encoding schemes, etc.) (aspects in computer science), Searching and sorting
FOS: Computer and information sciences, Data structures, Tree compression, top trees, tree compression, pattern matching, Top trees, Computer Science - Data Structures and Algorithms, Data Structures and Algorithms (cs.DS), Pattern matching, Coding and information theory (compaction, compression, models of communication, encoding schemes, etc.) (aspects in computer science), Searching and sorting
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