Graph Colouring Problem
See Answer →Vertex cover problem
See Answer →3-CNF SAT
See Answer →3-CNF SAT
See Answer →What are NP-Hard and NP-Complete problem? What is the role of reduction? Explain with the help of an example.
See Answer →Define P and NP class of Problems with the help of examples. How are P class of problem different from NP class of Problems.
See Answer →What are decision problems and Optimisation problems? Differentiate the decision problems and Optimisation problems with the help of at least two problem statements of each.
See Answer →Action research
See Answer →Social movement
See Answer →Social conflict
See Answer →Consider the following Graph:
Figure 1: Graph for Problem 3(a) and 3(b)
a) Write the Kruskal’s algorithm and Prim’s algorithm to find the minimum cost
spanning tree of the graph given in Figure 1. Show all the steps of computation.
Also, compute the time complexity of both the algorithms.
b) In the Figure 1, find the shortest path from the vertex ‘a’ using Dijkstra’s shortest
path algorithm. Show all the steps of computation. Also, find the time complexity
of the algorithm.
c) What is dynamic programming? What is the principle of Optimality? Use the
dynamic programming approach to find the optimal sequence of chain
multiplication of the following matrices:
| Matrix | Dimension |
| A1 | 5 × 10 |
| A2 | 10 × 20 |
| A3 | 20 × 15 |
| A4 | 15 × 8 |
| A5 | 8 × 10 |
d) Make all the possible Binary Search Trees for the key values 25, 50, 75. e) Explain the Knuth Morris Pratt algorithm for string matching. Use this algorithm to find a pattern “algo” in the Text “From algae to algorithms”. Show all the steps. What is the time complexity of this algorithm.
See Answer →Elements of sampling
See Answer →National mental health programme
See Answer →Mental health
See Answer →Rehabilitation
See Answer →Enlist the major health problems in India.
See Answer →Define the concept of health care.
See Answer →Mention the qualities of good sampling.
See Answer →Explain the role of social worker in the field of non-communicable diseases.
See Answer →Write a note on the relevance of research in social work.
See Answer →