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

By左傾樹（ Leftist Tree ）. Reference to FUNDAMENTALS OF DATA STRUCTURE IN C++. 擴充二元樹 (extendedbinary tree). 擴充二元樹 (extendedbinary tree) 為二元樹，其所有的空的二元子樹以方形節點取代。 在擴充二元樹中，方形節點稱為外部節點 (external node) 。原有的節點為內部節點 (internal node) 。. shortest(x).

ByPriority Queues. Priority queue. A stack is first in, last out A queue is first in, first out A priority queue is least-first-out The “smallest” element is the first one removed (You could also define a largest-first-out priority queue)

ByLeft Child-Right Sibling Representation. Instructor : Prof. Jyh-Shing Roger Jang Designer ： Shao-Huan Wang The ideas are reference to the textbook “Fundamentals of Data Structures in C “. Left Child-Right Sibling Representation. Replaced by the left child-right sibling representation. M.

ByPriority Queues. Priority queue. A stack is first in, last out A queue is first in, first out A priority queue is least-first-out The “smallest” element is the first one removed (You could also define a largest-first-out priority queue)

ByBinary 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

ByCMSC 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.

ByHeapsort. 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

ByBinary Search Trees (Continued). Study Project 3 Solution Balanced Binary Search Trees Balancing Operations Reading: L&C 11.1 – 11.4. Study Project 3 Solution. Project 3 was due before class today Discuss solution. Balanced Binary Search Trees.

ByBinary Search Tree (BST). Properties: Each node has a value The left subtree contains only values less than the parent node’s value The right subtree contains only values greater than or equal to the parent node’s value. BST Example. BST Search Algorithm. if the root is NULL then

ByRed-Black Trees. Bottom-Up Deletion. Recall “ordinary” BST Delete. If node to be deleted is a leaf, just delete it. If node to be deleted has just one child, replace it with that child (splice)

ByChapter 21 The Binary Heap. Bernard Chen Spring 2006. What’s priority queue. Problem: find MIN and Delete . Possible methods: unsorted array sorted array Binary Search tree. What’s Binary Heap.

ByTrees. 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.

ByAVL Trees. It’s a balancing act. Binary Tree Problems. If you get either sorted or reverse-sorted input, you essentially get a linked list (always following either the right or left child respectively) This can yield searches on the order of n

By?. ?. ?. ?. 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.

By22C: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.

ByProblem 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).

ByBinary 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.

ByHandbook 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)

ByAnalysis of Algorithms CS 477/677. Instructor: Monica Nicolescu Lecture 10. Red-Black Trees. “Balanced” binary trees guarantee an O(lgn) running time on the basic dynamic-set operations Red-black tree

ByView Left child PowerPoint (PPT) presentations online in SlideServe. SlideServe has a very huge collection of Left child PowerPoint presentations. You can view or download Left child presentations for your school assignment or business presentation. Browse for the presentations on every topic that you want.