PPT-Outline Introducing complete binary trees

Background Definitions Examples Logarithmic height Array storage Background A perfect binary tree has ideal properties but restricted in the number of nodes n 2 h 1 1 3 7 15 31 63 127 255 511 1023 . This number representation uses 4 bits to store each digit from 0 to 9 For example 1999 10 0001 1001 1001 1001 in BCD BCD wastes storage space since 4 bits are used to store 10 combinations rather than the maximum possible 16 BCD is often used in b COL 106. Shweta Agrawal and . Amit. Kumar. 2. Revisiting FindMin. Application: Find the smallest ( or highest priority) item quickly. Operating system. needs to schedule jobs according to priority instead of FIFO. 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. 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. N. children. Definition. Perfect . N. -. ary. trees. Complete . N. -. ary. trees. Implementation using templates. Outline. N. -ary Trees. One generalization of binary trees are a class of trees termed . 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. 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 . A binary . heap. . is a binary tree (2 or fewer subtrees for each node). A . heap is structured so that the node with the most relevant data is the root node, the next most relevant as the children of the root, etc. Important Announcements. A4 is out now and due two weeks from today. Have fun, and start early!. 2. 3. A picture of a singly linked list:. 2. 1. 1. 0. Node object. pointer. int. value. Today: trees!. 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 data structure: Trees. a hierarchical tree structure, with a root value and subtrees of children with a parent node, represented as a set of linked nodes. . from Wikipedia. . Tree data structure is a collection of data (Node) which is organized in .