B.E./B.Tech. DEGREE EXAMINATION, APRIL/MAY 2010
Third Semester
Electrical and Electronics Engineering
EE2204 - DATA STRUCTURES AND ALGORITHMS
(Common to Electronics and Instrumentation Engineering and Instrumentation and Control
Engineering)
(Regulation 2008)
Time:
Three hours Maximum:
100 Marks
Answer ALL
Questions
PART A — (10
× 2 = 20 Marks)
1. List out the areas in which data structures are applied extensively.
2. Convert the expression ((A+B)*C-(D-E)^(F +G)) to equivalent Prefix and
Post fix notations.
3. How many different trees are possible with 10 nodes?
4. What is an almost complete binary tree?
5. In an AVL tree, at what condition the balancing is to be done?
6. What is the bucket size, when the overlapping and collision occur at same
time?
7. Define graph.
8. What is a minimum spanning tree?
9. Define NP hard and NP complete.
10. What is meant by dynamic programming?
PART B — (5 × 16 = 80 Marks)
11. (a)
(i) What is a linked list? Explain with suitable program segments any four
operations of a linked list. (Marks 12)
(ii) Explain with a pseudo code
how a linear queue could be converted into a circular queue. (Marks 4)
OR
(b) (i) What is a stack ADT? Write
in detail about any three applications of stack. (Marks 11)
(ii) With a pseudo code explain
how a node can inserted at a user specified position of a doubly linked list.
(Marks 5)
12. (a) (i) Discuss the various representations of a binary tree in memory with
suitable example. (Marks 8)
(ii) What are the basic
operations that can be performed on a binary tree? Explain each of them in
detail with suitable example. (Marks 8)
OR
(b) (i) Give an algorithm to
convert a general tree to binary tree. (Marks 8)
(ii) With an example, explain
the algorithms of in order and post order traversals on a binary search tree.
(Marks 8)
13. (a)
What is an AVL tree? Explain the rotations of an AVL tree. (Marks 16)
OR
(b) (i) Explain the binary heap in
detail. (Marks 8)
(ii) What is hashing? Explain
any two methods to overcome collision problem of hashing. (Marks 8)
14. (a)
(i) Explain Dijkstra's algorithm and solve the single source shortest path
problem with an example. (Marks 12)
(ii) Illustrate with
an example, the linked list representation of graph. (Marks 4)
OR
(b) (i) Write the procedures to
perform the BFS and DFS search of a graph. (Marks 8)
(ii) Explain Prim's algorithm to
construct a minimum spanning tree from an undirected graph. (Marks 8)
15. (a) (i) With an example, explain how will you measure the
efficiency of an algorithm. (Marks 8)
(ii) Analyze the linear search
algorithm with an example. (Marks 8)
OR
(b) Explain how the travelling
salesman problem can be solved using greedy algorithm. (Marks 16)