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Conference paper · Book chapter

Tight bounds for top tree compression

From

Department of Applied Mathematics and Computer Science, Technical University of Denmark1

Algorithms and Logic, Department of Applied Mathematics and Computer Science, Technical University of Denmark2

Technical University of Denmark3

We consider compressing labeled, ordered and rooted trees using DAG compression and top tree compression. We show that there exists a family of trees such that the size of the DAG compression is always a logarithmic factor smaller than the size of the top tree compression (even for an alphabet of size 1).

The result settles an open problem from Bille et al. (Inform. and Comput., 2015).

Language: English
Publisher: Springer
Year: 2017
Pages: 97-102
Proceedings: 24th International Symposium on String Processing and Information Retrieval
Series: Lecture Notes in Computer Science
Journal subtitle: 24th International Symposium, Spire 2017, Palermo, Italy, September 26–29, 2017, Proceedings
ISBN: 3319674277 , 3319674285 , 9783319674278 and 9783319674285
ISSN: 03029743
Types: Conference paper and Book chapter
DOI: 10.1007/978-3-319-67428-5_9
ORCIDs: Bille, Philip , Gørtz, Inge Li , 0000-0002-3536-327X , 0000-0001-6928-0168 and 0000-0002-9830-3936

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