PPT-Outline Introducing perfect binary trees

Definitions and examples Number of nodes 2 h 1 1 Logarithmic height Number of leaf nodes 2 h Applications Definition Standard definition A perfect binary tree of height h. 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. Trees, . Tre-Like Structures, Binary . Search Trees. ,. Balanced . Trees, . Tree Traversals,. . DFS and . BFS. Svetlin Nakov. Telerik Software Academy. academy.telerik.com. . Technical Trainer. www.nakov.com. 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 . 2. Parts of a binary tree. A binary tree is composed of zero or more . nodes. In Java, a reference to a binary tree may be . null. Each node contains:. A . value. (some sort of data item). A reference or pointer to a . 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. 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.. (§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 . Look at the . untis. of measurement for computer data. Bit. Byte. Nibble. Kilobyte. Mega / . giga. / . tera. byte. Binary. Nibble. Computers work in binary. We found out why in the hardware section (lesson 5).. 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.. 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!. 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. 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 .