PPT-Self-Adjusting Binary Search Trees

D D Sleator and R E Tarjan ATampT Bell Laboratories Journal of the ACM Volume 32 Issue 3 Pages 652686 1985 Presented By James A Fowler Jr November 30 2010 George Mason University Fairfax Virginia. Data . Structures. Self-Adjusting. Data . Structures. 2. Lists. [D.D. . Sleator. , R.E. . Tarjan. , . Amortized Efficiency of List Update Rules. , Proc. 16. th. Annual ACM Symposium on Theory of Computing, 488-492, 1984]. Data . Structures. Self-Adjusting. Data . Structures. 2. Lists. [D.D. . Sleator. , R.E. . Tarjan. , . Amortized Efficiency of List Update Rules. , Proc. 16. th. Annual ACM Symposium on Theory of Computing, 488-492, 1984]. CIS 606. Spring 2010. Search trees. Data structures that support many dynamic-set 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.. Data . Structures. Self-Adjusting. Data . Structures. 2. Lists. [D.D. . Sleator. , R.E. . Tarjan. , . Amortized Efficiency of List Update Rules. , Proc. 16. th. Annual ACM Symposium on Theory of Computing, 488-492, 1984]. Data . Structures. Self-Adjusting. Data . Structures. 2. Lists. [D.D. . Sleator. , R.E. . Tarjan. , . Amortized Efficiency of List Update Rules. , Proc. 16. th. Annual ACM Symposium on Theory of Computing, 488-492, 1984]. 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. 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 . 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.. 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.