PPT-1 Trees 3: The Binary Search Tree

Reading Sections 43 and 46 2 Binary Search Tree Also known as Totally Ordered Tree Definition A binary tree B is called a binary search tree iff There is an order relation lt defined for the vertices of B. 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.. 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 . &&. TREE TRAVERSALS. DEFINITION : Binary Tree. A binary tree is made of nodes. Each node contains . a "left" pointer -- left child. a "right" pointer – right child. a data element.. The "root" pointer points to the topmost node in the tree. The left and right pointers recursively point to smaller. 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. 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??. (§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 . MISSION. GET INVOLVED. DONATE. ‘. Discover, educate, serve & inspire. ’ . NEWS & EVENTS. GARDEN PARTNERS. Research. : The UA Campus Arboretum is built upon the historical priorities of the Land Grant . 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. 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!. 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?. 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 .