Homework Assignment
 Trees
Contents:
Overview
Topic:  Trees
Related Reading:  Ch. 6.1-6.4 of the text, except 6.3.5,
6.4.3 and 6.4.4.  Most relevant for these questions will be
6.2.3, 6.2.4 and 6.3.4.
Due:
Please make sure you adhere to the policies on
academic honesty.
Practice Problems
Problems to be Submitted (20 points)
 
-  (5 points) 
 For the tree in Figure 6.3, what order will nodes be visited
during a postorder traversal?
 
-  (5 points) 
 Draw a binary tree T (not necessarily "proper") such that
simultaneously,
-  each node of T stores a single character
-  a preorder traversal of T yields ANSWER; and
-  an inorder traversal of T yields NSAEWR
 
 
-  (5 points) 
 Let T be a general ordered tree with more than one
node.  Is it possible that the preorder traversal of
T visits nodes in the same order as the
postorder traversal of T?
If so, give an example;  if not, argue why this cannot occur.
 
 
-  (5 points) 
 Let T be a general ordered tree with more than one
node.  Is it possible that the preorder traversal of
T visits nodes in the reverse order as the
postorder traversal of T?
If so, give an example;  if not, argue why this cannot occur.
 
Extra Credit
 
-  (2 points) 
 Creativity Exercise C-6.11 of the text.
 
 
Last modified:  4 October 2002