CS 112
Fall 2004
Ileana Streinu

• Trees. Examples: genealogical trees; the Unix file system; a few Unix features: root directory, navigation using .. and ~account, symbolic links (shortcuts).
• Mathematical versus Computer Science point of view on trees. Trees as connected graphs without cycles. Rooted trees.
• Binary trees.
• Implementation of binary trees. The binary tree node: data, left and right. Binary tree abstract data type.
• Applications: Binary arithmetic expression trees and Binary search trees.
• Binary arithmetic expresion trees. From a fully parenthesized expression to a binary expression tree to an arithmetic expression in postfix form.
• Definition of binary search trees.
• Application of binary tree traversal for search trees: Sorting using binary search trees.
• Tree traversal algorithms, sketch. Left node Right, Left Right node traversals.
• Start designing the BTree class. Discussion, in class: how to implement the node; what are the class variables and methods.