PPT-Binary Search Trees

CIS 606 Spring 2010 Search trees Data structures that support many dynamicset operations Can be used as both a dictionary and as a priority queue Basic operations take time proportional to the height of the tree. 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.. Ravi Chugh. March 28, 2014. 1. Review: Linked Lists. Goal. : Program that keeps track of friends. Problem. : Arrays have . fixed length. Solution. : . Linked Lists. . 2. null. Review: Linked Lists. and AVL Trees. The Most Beautiful Data Structures in the World. This animation is a PowerPoint slideshow. Hit the spacebar to advance. Hit the backspace key to go backwards . Hit the ESC key to terminate the show. Search Trees. Marek Chrobak, Neal Young . UC Riverside. Ian Munro U Waterloo. Mordecai Golin. HKUST. Early version of paper at arxiv.org. Optimal search trees with 2-way comparisons. 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. 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. A . tree. is a connected undirected graph with no simple circuits.. Since a tree cannot have a simple circuit, a tree cannot contain multiple edges or loops.. Therefore, any tree must be a . simple graph. (§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. use recursion to process trees. implement . binary trees, binary search trees. , and . heaps. using linked data structures and . Announcements. Submit P1 Conflict quiz on CMS by end of day Wednesday. We won’t be sending confirmations; no news is good news. Extra time people will eventually get an email from Lacy. Please be patient.. 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 6. 9. 2. 4. 1. 8. <. >. =. © 2014 Goodrich, Tamassia, Goldwasser. Presentation for use with the textbook . Data Structures and Algorithms in Java, 6. th. edition. , by M. T. Goodrich, R. Tamassia, and M. H. Goldwasser, Wiley, 2014.