Lecture13 - Algorithms in Systems Engineering IE172 Lecture...

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Algorithms in Systems Engineering IE172 Lecture 13 Dr. Ted Ralphs
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IE172 Lecture 13 1 References for Today’s Lecture Required reading Sections 6.1-6.36 References CLRS Chapter 21 and 22 R. Sedgewick, Algorithms in C++ (Third Edition), 1998.
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IE172 Lecture 13 2 Trees A tree is a set of items organized into a hierarchical structure (think of a family tree). When organized in this way, we call the items nodes . Each node has a single designated parent and one or more children . There is a single designated node, called the root , with no parent. Any node with no children is called a leaf . Any node with children is called internal . A tree in which all nodes have 2 or fewer children is called a binary tree . Storing a list of items in a tree structure allows us to represent additional relationships among the items in the list. Trees occur naturally in a wide variety of applications.
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IE172 Lecture 13 3 Trees in Action File system Philogenic Trees Family Trees Call Trees Web page
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IE172 Lecture 13 4 Additional Terminology The level of a node in the tree is the number of recursive calls to parent() needed to reach the root. The depth of the tree is the maximum level of any of its nodes.
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