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Data structures & Algorithms
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AVL rotation to balance each tree. Once balanced, denote whether RH,LH or EH and Convert the following trees to threaded trees

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Data Structures and File Organization

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Binary Trees Test I

Multiple Choice 10pts

Choose the best answer from among the given choices and write the letter of your choice.

 

  • 1.Consists of nodes and connecting arcs

A. Queue

C. Recursion

B. Stacks

D. Tree

  • 2. The number of arcs in this sequence is known as the _______ of the path

A. length

C. arc

B. size

D. mid

  • 3. A tree whose nodes have a maximum of 2 children

A. Tree

C. Binary Tree

B. Dynamic Tree

D. Recursion

  • 4. A ________ is a tree where every non-terminal node has 2 branches.

A. Tree

C. Binary Tree

B. Binary Search Tree

D. Complete Binary Tree

  • 5. Sometimes also be called an ordered or sorted binary tree

A. Tree

C. Binary Tree

B. Binary Search Tree

D. Complete Binary Tree

  • 6. Proceeding as far as possible to the right (or left), and then returning one level, stepping over and stepping down.

A. Tree Traversal

C. Depth First Traversal

B. Breadth-First Traversal

D. Threaded Tree

  • 7. Starting at either the highest or lowest node and visiting each level until the other end is

               reached.

A. Tree Traversal

C. Depth First Traversal

B. Breadth First Traversal

D. Threaded Tree

  • 8. The process of visiting each node in the tree exactly once.

A. Tree Traversal

C. Depth First Traversal

B. Breadth First Traversal

D. Threaded Trees

  • 9. Left nodes point to their predecessors, right nodes point to their successors

A. Tree Traversal

C. Depth First Traversal

B. Breadth First Traversal

D. Threaded Trees

  • 10. Can easily be implemented using recursion

A. Tree Traversal

C. Depth First Traversal

B. Breadth First Traversal

D. Threaded Trees

Test II

Balancing Binary Trees/Threaded Trees

 

1-4. Apply AVL rotation to balance each tree. Once balanced, denote whether RH,LH or EH and Convert the following trees to threaded trees. (12pts each)                      

Test III

Binary Search Trees

  1. Draw all possible binary search trees for the data elements 5,9 and 12. 2pts each
  2. Create Binary Search tree using the following data entered in sequential set. Then balance the tree using DSW algorithm: 10pts

                            7,10,14,23,33,44,50,56,66,70,80

 

  1. Given :

    inorder: GHFIEABDC

    postorder: GFEIHDCBA

  Draw the tree and find the preorder traversal of a tree. 10pts

  1. Given the tree: 15pts

Get the infix, prefix and postfix traversal of a tree.

Test III

Expression Trees (30pts)

Draw the expression tree and find the prefix and postfix expression for the following infix expression (5pts each)

  1. (x * a) – y / (b * (c + d))
  2. x + a * b – c/d
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