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Discrete MathematicsThe number of edges in a regular graph of degree 46 and 8 vertices is (i) 347 (ii) 230 (iii) 184 (iv) 18620222mDiscrete MathematicsAn undirected graph has 8 vertices labelled 1, 2, \dots, 8 and 31 edges. Vertices 1, 3, 5, 7 have degree 8 and vertices 2, 4, 6, 8 have degree 7. What is the degree of vertex 8? (i) 15 (ii) 8 (iii) 5 (iv) 2320222mDesign 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 The minimum number of colors needed to color a graph having n > 3 vertices and 2 edges is (i) 2 (ii) 3 (iii) 4 (iv) 120222m