In computer science, a binary search tree (BST), which may sometimes also be called an ordered or sorted binary tree, is a node-based binary tree data structure which has the following properties:
- The left subtree of a node contains only nodes with keys less than the node's key.
- The right subtree of a node contains only nodes with keys greater than the node's key.
- Both the left and right subtrees must also be binary search trees.
- There must be no duplicate nodes.
Generally, the information represented by each node is a record rather than a single data element. However, for sequencing purposes, nodes are compared according to their keys rather than any part of their associated records.
The major advantage of binary search trees over other data structures is that the related sorting algorithms and search algorithms such as in-order traversal can be very efficient.
Binary search trees are a fundamental data structure used to construct more abstract data structures such as sets, multisets, and associative arrays.
Read more about Binary Search Tree: Operations, Types
Famous quotes containing the words search and/or tree:
“So often has my judgment deceived me in my life, that I always suspect it, right or wrong,—at least I am seldom hot upon cold subjects. For all this, I reverence truth as much as any body; and ... if a man will but take me by the hand, and go quietly and search for it ... I’ll go to the world’s end with him:MBut I hate disputes.”
—Laurence Sterne (1713–1768)
“The whole tree itself is but one leaf, and rivers are still vaster leaves whose pulp is intervening earth, and towns and cities are the ova of insects in their axils.”
—Henry David Thoreau (1817–1862)