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Design and Analysis of Algorithms BFS on a graph G = (V, E) has running time (i) O(|V| + |E|) (ii) O(|V|) (iii) O(|E|) (iv) None of these20222mDesign and Analysis of Algorithms Explain BFS algorithm in detail. Also explain its time complexity.20257mDesign and Analysis of Algorithms A graph with five nodes is represented using the adjacency list as follows: | | | | | | |---|---|---|---|---| | A | -> | B (10) | C (3) | | | B | -> | C (1) | D (5) | | | C | -> | B (4) | D (8) | E (2) | | D | -> | E (7) | | | | E | -> | D (9) | | | Answer the following: (i) Draw the graph for the above adjacency list. (ii) Write the algorithm for the Breadth-First Traversal (BFS). (iii) Show the BFS traversal of the graph with the starting node as A.20247mDesign and Analysis of Algorithms Discuss the differences between BFS and DFS in terms of traversal order, memory usage, and their applications in real-world problems.20237m