Tree Structure Compression with RePair

Larsson and Moffat’s RePair algorithm is generalized from strings to trees. The new algorithm (TreeRePair) produces straight-line linear context-free tree (SLT) grammars which are smaller than those produced by previous grammar-based compressors such as BPLEX. Experiments show that a Huffman-based coding of the resulting grammars gives compression ratios comparable to the best known XML file compressors. Moreover, SLT grammars can be used as efficient memory representation of trees. Our investigations show that tree traversals over TreeRePair grammars are 14 times slower than over pointer structures and 5 times slower than over succinct trees, while memory consumption is only 1/43 and 1/6, respectively.

• Type: Journal
• Year: 2011
• Where: DCC
• Authors: Markus Lohrey, Sebastian Maneth, Roy Mennicke
• Keywords: Computer Graphics, DCC 2011, Grammars, Linear Context-free Tree, SLT Grammars