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Two-Dimensional Block Trees


Brisaboa, N. R.; Gagie, T.; Gomez Brandon, A.; Navarro, G.: «Two-Dimensional Block Trees», en Proceedings of the 2018 Data Compression Conference (DCC 2018), IEEE Computer Society, Snowbird, Utah (Estados Unidos), 2018, pp. 227-236.GGS Class: 2DOI: 10.1109/DCC.2018.00031The Block Tree (BT) is a novel compact data structure designed to compress sequence collections. It obtains compression ratios close to Lempel-Ziv and supports efficient direct access to any substring. The BT divides the text recursively into fixed-size blocks and those appearing earlier are represented with pointers. On repetitive collections, a few blocks can represent all the others, and thus the BT reduces the size by orders of magnitude. In this paper we extend the BT to two dimensions, to exploit repetitiveness in collections of images, graphs, and maps. This two-dimensional Block Tree divides the image regularly into subimages and replaces some of them by pointers to other occurrences thereof. We develop a specific variant aimed at compressing the adjacency matrices of Web graphs, obtaining space reductions of up to 50% compared with the k2-tree, which is the best alternative supporting direct and reverse navigation in the graph.

Palabras Clave:

Compact data structures - Compression - Images - Web graphs





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