PPT-10. Binary Search Tree

Yan Shi CSSE 2630 Lecture Notes Partially adopted from C Plus Data Structure textbook slides Review Binary Search in a Sorted Array Based List Examines the element in the middle of the array . D. D. . Sleator. and R. E. . Tarjan. | AT&T Bell Laboratories. Journal of the ACM . | Volume 32 | Issue 3 | Pages 652-686 | 1985. Presented By: . James A. Fowler, Jr. | November 30, 2010. George Mason University | Fairfax, Virginia. CS 46101 Section 600. CS 56101 Section 002. . Dr. Angela Guercio. Spring 2010. Search trees. Data structures that support many dynamic-set operations.. Can . be used as both a dictionary and as a priority queue.. I am 12.. 12 is a . decimal . number. Use this table to convert a decimal number into a binary number.. To make 12 I need to add. 8. and 4.. Put a 1 under these numbers.. Put a 0 under the numbers that are not needed. Topics to be discussed….. Trees Data Structures. Trees. Binary Search Trees. Tree traversal. Types of Binary Trees. Threaded binary trees. Applications . Trees Data Structures. Tree. Nodes. Each node can have 0 or more . Trees. Rick Mercer, Allison . Obourn. , Marty . Stepp. Binary Search Trees. A Binary Search Tree (BST) data structure is a binary tree with an ordering property. BSTs are used to maintain order and faster retrieval, insertion, and removal of individual elements. Decimal. . vs. Binary. = 1001. = 101. = 10. 1 = on =. 0 = off = . On and off. Creating a decimal number 
from a binary number. STAGE 1. The decimal number is ________. Creating decimal 
from binary. Abstract Sorted Lists. Background. Definition and examples. Implementation:. Front, back, insert, erase. Previous smaller and next larger objects. Finding the . k. th. object. Abstract Sorted Lists. What is binary?. You and I write numbers like this: twelve is 12, sixty eight is 68, and one hundred is 100. Binary is a . number system . that computers use. That is, binary is the way that computers express numbers.. 8.6 Huffman Trees. 1. Attendance Quiz #29. Trees. 2. Tip #31: size() vs empty(). Should size() or empty() be used to test for container empty?. Trees. 3. bool empty() const. {. return (size() == 0); // BAD??. 8.3 Implementing a . Binary_Tree. Class. 1. Attendance Quiz #27. Binary Search Trees. 2. Tip #29: Iterator Requirements. Binary Search Trees. 3. Iterators open the door for expression, readability, maintenance and reusability.. (§10.1). A binary search tree is a binary tree storing keys (or key-element pairs) at its internal nodes and satisfying the following property:. Let . u. , . v. , and . w. be three nodes such that . To learn how to use a tree to represent a hierarchical organization of information. To learn how to use recursion to process trees. To understand the different ways of traversing a tree. To understand the differences between binary trees, binary search trees, and heaps. Lecture 16. 150309.. CUSACK CHAPT 4.. Agenda. HW5: Questions / Discussion. . Queues: finish.. . Trees: BST. . Prop Logic Intro. Will be on final.. HW5. What should occupy the Queue?. . Where should History live?. Topic 18 Binary Trees "A tree may grow a thousand feet tall, but its leaves will return to its roots." -Chinese Proverb 2 Definitions A tree is an abstract data type one entry point, the root