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Module 2: Fundamental Algorithmic Strategies
20227m
State the graph coloring problem and write the algorithm. Apply backtracking technique to solve the 3-colouring problem for the following graph.
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Design & Analysis of AlgorithmsExplain back-tracking, DFS and BFS with help of small example. Differentiate in between backtracking and dynamic programming. Apply the backtracking algorithm to solve the three-colouring problem for the following graph using state space tree. Assume three colours red, green and blue. 201914mDesign and Analysis of Algorithms Apply the backtracking approach and find the Hamiltonian cycle for the graph given in the form of matrix. Show all the steps to find the cycle. | | A | B | C | D | E | F | |---|---|---|---|---|---|---| | A | 0 | 1 | 1 | 0 | 0 | 1 | | B | 1 | 0 | 1 | 1 | 0 | 0 | | C | 1 | 1 | 0 | 0 | 1 | 0 | | D | 0 | 1 | 0 | 0 | 1 | 0 | | E | 0 | 0 | 1 | 1 | 0 | 1 | | F | 1 | 0 | 1 | 0 | 1 | 0 |202310mDesign and Analysis of Algorithms Apply the Prim's algorithm and find the optimal solution for the following graph: 20257mDesign and Analysis of Algorithms Give step by step procedure to find minimal spanning tree for the given graph. 20227m
PreviousSolve the single source shortest path problem for the following graph considering '1' as the source vertex using Dijkstra's algorithm. NextDifferentiate between divide & conquer, greedy method and dynamic programming with suitable examples.
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