X-tree

This article is about a tree data structure for storing data in multiple dimensions. For the XTree file manager, see XTree.

In computer science, an X-tree (for eXtended node tree^[1]) is an index tree structure based on the R-tree used for storing data in many dimensions. It appeared in 1996,^[2] and differs from R-trees (1984), R+-trees (1987) and R*-trees (1990) because it emphasizes prevention of overlap in the bounding boxes, which increasingly becomes a problem in high dimensions. In cases where nodes cannot be split without preventing overlap, the node split will be deferred, resulting in super-nodes. In extreme cases, the tree will linearize, which defends against worst-case behaviors observed in some other data structures.

References

Wikimedia Commons has media related to X-trees.

↑ Selçuk Candan, K.; Luisa Sapino, Maria (31 May 2010). Cambridge University Press, ed. Data Management for Multimedia Retrieval.
↑ Berchtold, Stefan; Keim, Daniel A.; Kriegel, Hans-Peter (1996). "The X-tree: An Index Structure for High-Dimensional Data". Proceedings of the 22nd VLDB Conference. Mumbai, India: 28–39.

Tree data structures

Search trees (dynamic sets/associative arrays)	2–3 2–3–4 AA (a,b) AVL B B+ B* B^x (Optimal) Binary search Dancing HTree Interval Order statistic (Left-leaning) Red-black Scapegoat Splay T Treap UB Weight-balanced

Heaps	Binary Binomial Fibonacci Leftist Pairing Skew Van Emde Boas

Tries	Ctrie C-trie (compressed ADT) Hash Radix Suffix Ternary search X-fast Y-fast

Spatial data partitioning trees	Ball BK BSP Cartesian Hilbert R k-d (implicit k-d) M Metric MVP Octree Priority R Quad R R+ R* Segment VP X

Other trees	Cover Exponential Fenwick Finger Fractal tree index Fusion Hash calendar iDistance K-ary Left-child right-sibling Link/cut Log-structured merge Merkle PQ Range SPQR Top

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