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B-tree (Definition)

A B-tree of order $ m$ is a balanced search tree in which

  • every node has at most $ m$ children,
  • every node, other than a root or leaf, has at least $ m/2$ children,
  • the root has at least 2 children if it is not a leaf,
  • all leaf nodes appear on the same level
  • a nonleaf node with $ k$ children has $ k-1$ keys.

If the tree has $ n$ nodes its height is $ O(log_2(n))$.



"B-tree" is owned by Mathprof.
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Also defines:  order
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Cross-references: height, tree, keys, level, leaf, root, children, node, search tree
There are 15 references to this entry.

This is version 6 of B-tree, born on 2007-07-04, modified 2007-07-05.
Object id is 9730, canonical name is BTree.
Accessed 1091 times total.

Classification:
AMS MSC: 68P05 (Computer science :: Theory of data :: Data structures)
 68P10 (Computer science :: Theory of data :: Searching and sorting)
Pending Errata and Addenda
None.
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