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CS 3343: Analysis of Algorithms

CS 3343: Analysis of Algorithms

CS 3343: Analysis of Algorithms. Lecture 16: Binary search trees & red-black trees. Review: Hash tables. T. |U| >> K & |U| >> m. Problem: collision. 0. U (universe of keys). h (k 1 ). k 1. h (k 4 ). k 4. K (actual keys). k 5. collision. h (k 2 ) = h (k 5 ). k 2. h (k 3 ). k 3.

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737 views • 73 slides
Algorithms

Algorithms

Algorithms. Ch. 12: Binary Search Trees Ming-Te Chi. 12.0 What is a binary tree?. Binary tree: Empty, or Composed by 3 disjoint set of nodes: root left subtree (binary tree), could be empty. right subtree (binary tree ), could be empty. 12.1 What is a binary search tree ?.

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466 views • 32 slides
Chapter 12&13: Binary Search Trees (BSTs)

Chapter 12&13: Binary Search Trees (BSTs)

Chapter 12&13: Binary Search Trees (BSTs). Overview: Definition of dynamic sets Operations on dynamic sets Definition of BST Examples of balanced and unbalanced BSTs support dynamic-set operations T(n) proportional to height of tree Extensions, like Red-Black trees, ensure balance.

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372 views • 24 slides
12.Binary Search Trees

12.Binary Search Trees

12.Binary Search Trees. Hsu, Lih-Hsing. 12.1 What is a binary search tree?. Binary-search property :

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332 views • 23 slides
Chapter 12

Chapter 12

Chapter 12. Binary search trees Lee, Hsiu-Hui Ack: This presentation is based on the lecture slides from Hsu, Lih-Hsing, as well as various materials from the web. Binary Search Tree. Binary-search property :

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323 views • 21 slides

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