PDF-Binary Tree Traversal Methods

. 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.. CS212 & CS-240. D.J. . Foreman. What is a Tree. A tree is a finite set of one or more nodes such that:. There is a specially designated node called the . root. The remaining nodes are partitioned into n>. 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.. Min Chen. School of Computer Science and Engineering . Seoul National University. Data Structure: Chapter 6. Content. Definition of Trees. Representing Rooted Tree. Tree Traversal. Preorder Traversal. 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 . Preorder. Traversal. Start at root map. Traverse the left sub-tree. Traverse the right sub-tree. 1. Khan. 2. Jones. 3. Williams. 4. Lee. 5. Roberts. Khan. 1. Jones. 5. Williams. 3. Lee. 4. Roberts. Inorder. Tree Definitions and ADT (. §7.1. ). Tree Traversal Algorithms for General Trees (preorder and postorder) (. §7.2. ). BinaryTrees (. §7.3. ). Data structures for trees (. §7.1.4 and §7.3.4. ). Traversals of Binary Trees (preorder, inorder, postorder) (. 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. 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??. 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. 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 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 . Define trees as data structures. Discuss tree traversal algorithms. Discuss a binary tree implementation. 10-. 3. Trees. A . tree. . is a . nonlinear. abstract data type that stores elements in a hierarchy..