A binary search tree or BST is a binary tree that is either empty or in which the data element of each node has a key and satisfies the conditions: The general binary tree . The ordering is: the current node, the left subtree, the right subtree. 3. Postorder. The ordering is: the left subtree, the right subtree, the current node. Inorder Traversal Pseudocode This recursive algorithm takes as the input a pointer to a tree and executed inorder traversal on the tree. Binary Search Trees (BSTs) Def. A BINARY SEARCH TREE is a binary tree in symmetric order. A binary tree is either: • empty • a key-value pair and two binary trees [neither of which contain that key] Symmetric order means that: • every node has a key • every node’s key is larger than all keys in its left subtree smaller than all keys.

Binary search tree example pdf

Binary Search Trees (BSTs) Def. A BINARY SEARCH TREE is a binary tree in symmetric order. A binary tree is either: • empty • a key-value pair and two binary trees [neither of which contain that key] Symmetric order means that: • every node has a key • every node’s key is larger than all keys in its left subtree smaller than all keys. • Use the search key to direct a recursive binary search for a matching node 1. Start at the root node as current node 2. If the search key’s value matches the current node’s key then found a match 3. If search key’s value is greater than current node’s 1. If the current node has a right child, search right 2. Else, no matching node in the tree 4. View Notes - tutpdf from CSCI at The Chinese University of Hong Kong. Applications of the Binary Search Tree Shangqi Lu Department of Computer Science and Engineering The .\I think that I shall never see a poem as lovely as a tree Poem's are wrote by fools like me but only. G-d can make a tree \. { Joyce Kilmer. Binary search trees. Check if “current node” is =x or =NIL. Equal to x -- return,. Equal to NIL -- return “ not found” else: if x ≤ current key search in the left tree otherwise. search . For example, we could have stored the elements in an array, sorted by key. Then lookup by binary search would have been O(log n), but inser- tion would be.

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