Part C. Question 1. Apply the both BFS and DFS algorithms ont the following graph:
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Step 1: First, let's represent the given graph in Python as an adjacency list: ```python graph = { 'Start': ['c', 'B'], 'c': ['h=2', '5'], 'h=2': ['2'], '5': ['3', 'D'], '3': ['1'], '1': [], 'B': ['h=5'], 'h=5': ['4'], 'D': Show more…
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Supreeta N.
Part 1: Giving that, after applying Depth-first search (DFS), the visited nodes are as follows: A-B-E-F-G-C-H-D-I-J Assuming the order of the nodes are in alphabetic order ABC, and the starting node is A 1. Draw the graph tree for this problem. (5 points) 2. Visit all the nodes using the Breadth-first search (BFS). (5 points) 3. If the goal is to reach node G from node A, show the solution after applying both BFS and DFS and show which algorithm is faster. (5 points)
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(a) (2 points) Show the run of Breadth-First-Search (BFS) algorithm on the graph in Figure 1 starting from node 5, i.e., show which nodes will be discovered at layers 1, 2, and so on. (b) (2 points) Is the above graph bipartite? Why? (c) (2 points) Let G be an undirected graph on n nodes, where n is an even number. If every node of G has a degree of at least n/2, then show that G is connected. The degree of a node u is defined as the total number of adjacent vertices of u, i.e., total neighbors of u.
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