'Complete binary trees' presentation slideshows

Binary heaps

Binary heaps. Outline. In this topic, we will: Define a binary min-heap Look at some examples Operations on heaps: Top Pop Push An array representation of heaps Define a binary max-heap Using binary heaps as priority queues. Definition. 7.2. A non-empty binary tree is a min-heap if

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Trees

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Problem of the Day

Problem of the Day. You are trapped alone in a dark room with: Candle; Wood stove ; and Gas lamp (with full tank). You only have one match; what do you light 1 st ?. Problem of the Day. You are trapped alone in a dark room with: Candle; Wood stove ; and Gas lamp (with full tank).

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Module 4- Trees

Module 4- Trees. Introduction Terminology Binary Trees Properties of binary trees Array and Linked representations of binary tree Binary Tree Traversals Additional Binary Tree Operations Threaded Binary Trees Binary Search Trees Binary Search Trees operations

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Problem of the Day

Problem of the Day. You are trapped alone in a dark room with: Candle; Wood stove ; and Gas lamp (with full tank). You only have one match; what do you light 1 st ?. Problem of the Day. You are trapped alone in a dark room with: Candle; Wood stove ; and Gas lamp (with full tank).

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Problem of the Day

Problem of the Day. To get into club, must get past bouncer Recorded correct responses of those before you Guard said five & response was four Guard said three & response was five Guard said twelve & response was six Guard said six & response was three

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Brief review of the material so far

Brief review of the material so far . Recursive procedures, recursive data structures Pseudocode for algorithms Example: algorithm(s) to compute a n Example: merge sort Example: Tree properties Use of induction to prove / determine Correctness Complexity Techniques to remember:

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Source

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Trees: basic definitions and terminology

Trees: basic definitions and terminology. Contrary to arrays, stacks, queues and sequences all of which are one- dimensional data structures, trees are two-dimensional data structures with hierarchical relationship between data items.

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Tree Traversal Techniques; Heaps

Tree Traversal Techniques; Heaps. Tree Traversal Concept Tree Traversal Techniques: Preorder, Inorder, Postorder Full Trees Almost Complete Trees Heaps. 1. 3. 7. 5. 8. 9. 4. 6. 11. 12. Binary-Tree Related Definitions.

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Dynamic Dictionaries

Dynamic Dictionaries. Primary Operations: get(key) => search put(key, element) => insert remove(key) => delete Additional operations: ascend() get(index) remove(index). n is number of elements in dictionary. Complexity Of Dictionary Operations get(), put() and remove().

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CS235102 Data Structures

CS235102 Data Structures. Chapter 5 Trees. Chapter 5 Trees: Outline. Introduction Representation Of Trees Binary Trees Binary Tree Traversals Additional Binary Tree Operations Threaded Binary Trees Heaps Binary Search Trees Selection Trees Forests. Introduction (1/8).

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Trees

Trees. Binary Trees. Tree Terminology. Trees are used to represent the relationship between data items. All trees are hierarchical in nature which means there is a parent-child relationship between "nodes" in a tree. The lines between nodes are called directed edges.

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Welcome to CIS 068 !

Welcome to CIS 068 !. Lesson 12: Data Structures 3 Trees. Overview. Binary Trees Complete Trees Heaps Binary Search Trees Balanced Trees. Definitions. root. Node 0 is ancestor of all other nodes Nodes 1-6 are descendants of node 0. Node 0. Node 1,2,3 are children of root.

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Welcome to CIS 068 !

Welcome to CIS 068 !. Lesson 12: Data Structures 3 Trees. Overview. Binary Trees Complete Trees Heaps Binary Search Trees Balanced Trees. Definitions. root. Node 0 is ancestor of all other nodes Nodes 1-6 are descendants of node 0. Node 0. Node 1,2,3 are children of root.

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Trees

Trees. Overview. Tree Representation and Terminology Binary Trees Binary Search Trees Pointer-Based Representation of a Binary Tree Array-Based Representation of a Binary Tree. Tree. A tree is a collection of nodes and directed edges , satisfying the following properties:

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Binary Search Trees

Binary Search Trees. A binary tree: No node has more than two child nodes (called child subtrees). Child subtrees must be differentiated, into: Left-child subtree Right-child subtree A search tree: For every node, p: All nodes in the left subtree are < p

259 views • 13 slides