1 Implement Recursive Binary search and Linear search and determine the time required to search an element. Repeat the experiment for different values of n, the number of elements in the list to be searched and plot a graph of the time taken versus n.
2 Sort a given set of elements using the Insertion sort method and determine the time required to sort the elements. Repeat the experiment for different values of n, the number of elements in the list to be sorted and plot a graph of the time taken versus n.
3 Sort a given set of elements using Merge sort method and determine the time required to sort the elements. Repeat the experiment for different values of n, the number of elements in the list to be sorted and plot a graph of the time taken versus n.
4 Obtain the Topological ordering of vertices in a given graph
5 Implement 0/1 Knapsack problem using dynamic programming.
6 From a given vertex in a weighted connected graph, find shortest paths to other vertices using Dijkstra's algorithm.
7 Sort a given set of elements using Quick sort method and determine the time required sort the elements. Repeat the experiment for different values of n, the number of elements in the list to be sorted and plot a graph of the time taken versus n.
8 Find Minimum Cost Spanning Tree of a given undirected graph using Kruskal's algorithm.
9 Check whether a given graph is connected or not using DFS method.
10 Find a subset of a given set S = {s1,s2,.....,sn} of n positive integers whose sum is equal to a given positive integer d. For example, if S= {1, 2, 5, 6, 8} and d = 9 there are two solutions{1,2,6}and{1,8}.A suitable message is to be displayed if the given problem instance doesn't have a solution.
11 a). Implement Horspool algorithm for String Matching. b). Find the Binomial Co-efficient using Dynamic Programming.
12 Find Minimum Cost Spanning Tree of a given undirected graph using Prim’s algorithm.
13 a).Implement Floyd’s algorithm for the All-Pairs- Shortest-Paths Problem. b).Compute the transitive closure of a given directed graph using Warshall's algorithm.
14 Implement N Queen's problem using Back Tracking.
Note 1: InthepracticalExaminationstudent has to executeoneprogramfroma lot of all the 14 questions.
Note 2: Change of program is not permitted in the Practical Examination. Intellectual Property