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- 6. Find the complement of the graph K3,2, the complete bipartite graph on (3, 2) vertices.3. Generalize Sanjay determined that one vertex of a figure was mapped to its image by translating the point 2 units left and 7 units down. What is the rule that maps the other vertices of the figure to their images?Q. No. 6 (a) For the graph shown below (4) (1) find number of edges (ii) find number of vertices (ii) find number of loops; (iv) find number of parallel edges; (b) which following graphs are bipartite. Explain with reason. (4)
- How many edges are in the graph with n nodes where every pair of nodes are joined by an edge? Prove your answer.Consider a bipartite graph on the set A = {1,2,3, 4, 5, 6} and B = {7,8,9, 10, 11, 12}, where there is an edge between x E A and y E B if and only if x + y is a multiple of 3. What is the size of N({2})? What is the size of N({2,5})? What is the size of N({2,6})? Is there a matching in this graph?12b) Identify if each of the following graphs is bipartite or not bipartite. 3 ii)