Data Structure II. Outline Heap Binary Search Tree Hash Table Binary Indexed Tree Segment Tree.

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Presentation transcript:

Data Structure II

Outline Heap Binary Search Tree Hash Table Binary Indexed Tree Segment Tree

Heap A left-complete binary tree which has every node greater than its two children, if any of them exists Insert Extract-max Heapify Make-heap

Binary Search Tree A binary tree which exhibits the following properties ◦Root > all elements in left subtree ◦Root <= all elements in right subtree Search ◦Most convenient if written recursively Insert – a bit trivial Delete ◦0 children, 1 child, 2 children Balance Tree ◦AVL tree, Red-Black Tree

Hash Table “Dictionary” Search – O(1) Insert – O(1) Delete – O(1) Collision? Hash function Close Addressing ◦Chaining Open Addressing

Binary Indexed Tree Peter Fenwick 92.pdf

Segment Tree nt/2008-5/ doc nt/2008-5/ doc

Thank you! Dinner Time…