'Left child' diaporamas de présentation

Trees

Trees. Main and Savitch Chapter 10. Binary Trees. A binary tree has nodes , similar to nodes in a linked list structure. Data of one sort or another may be stored at each node. But it is the connections between the nodes which characterize a binary tree. A Binary Tree of States.

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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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Analysis of Algorithms CS 477/677

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22C:19 Discrete Structures Trees

22C:19 Discrete Structures Trees. Spring 2014 Sukumar Ghosh. What is a tree?. Rooted tree: recursive definition. Rooted tree terminology. Rooted tree terminology. A subtree. Rooted tree terminology. Important properties of trees. Important properties of trees.

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Chapter 21 The Binary Heap

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Binary Trees

Binary Trees . Chapter 6. 6.1 Trees, Binary Trees, and Binary Search Trees . Linked lists usually are more flexible than arrays, but it is difficult to use them to organize a hierarchical representation of objects.

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Heapsort

Heapsort. Based off slides by: David Matuszek . http://www.cis.upenn.edu/~matuszek/cit594-2008/. Previous sorting algorithms. Insertion Sort O(n 2 ) time Merge Sort O(n) space. Heap data structure. Binary tree Balanced Left-justified or Complete

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Handbook of Constraint Programming 10.5.1, 10.5.2

Handbook of Constraint Programming 10.5.1, 10.5.2. Presented by: Shant Karakashian Symmetries in CP, Sprint 2010. Outline. Symmetry Breaking During Search (SBDS) Example: 8-Queens Adding Constraints Correctness Implementations Problems Symmetry Breaking via Dominance Detection (SBDD)

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???? Leftist Tree ?

???? Leftist Tree ?. Reference to FUNDAMENTALS OF DATA STRUCTURE IN C++. ????? (extendedbinary tree). ????? (extendedbinary tree) ??????????????????????? ?????????????????? (external node) ??????????? (internal node) ?. shortest(x).

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Left Child-Right Sibling Representation

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CMSC 341

CMSC 341. Splay Trees. 21. 12. 32. 37. 20. 24. 40. 15. 55. 56. 77. Problems with BSTs. Because the shape of a BST is determined by the order that data is inserted, we run the risk of trees that are essentially lists. BST Sequence of Operations.

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Red-Black Trees

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Binary Trees

Binary Trees. Linear data structures. Here are some of the data structures we have studied so far: Arrays Singly-linked lists and doubly-linked lists Stacks, queues, and deques Sets These all have the property that their elements can be adequately displayed in a straight line

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Priority Queues

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AVL Trees

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Priority Queues

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Binary Trees

Binary Trees. Linear data structures. Here are some of the data structures we have studied so far: Arrays Singly-linked lists and doubly-linked lists Stacks, queues, and deques Sets These all have the property that their elements can be adequately displayed in a straight line

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Binary Search Trees (Continued)

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Binary Search Tree (BST)

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Max-Heapify Example

?. ?. ?. ?. 86. 65. 41. 86. 13. 65. 9. 98. 32. 29. 44. 23. 21. 10. 44. 17. 17. 17. 17. 17. Max-Heapify Example. left child is greater. right child is greater. children of 2: 2*2, 2*2+1 = 4, 5. children of root: 2*1, 2*1+1 = 2, 3. 17. 86. 17. 65. 44. 17. 17.

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