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Design & Analysis of AlgorithmsThe minimum number of colors needed to color a graph having n > 3 vertices and 2 edges is: - (i) 2 - (ii) 3 - (iii) 4 - (iv) 120232mDesign and Analysis of Algorithms State the graph coloring problem and write the algorithm. Apply backtracking technique to solve the 3-colouring problem for the following graph. 20227mDiscrete Mathematics(i) The number of edges in a bipartite graph with n vertices is at most (i) n^2/2 (ii) n^2/4 (iii) n^2 (iv) 2n20192mDiscrete MathematicsA graph which has the same number of edges as its complement must have number of vertices congruent to \_\_\_\_\_\_ or \_\_\_\_\_\_ modulo 4 (for integral values of number of edges). (i) 6k, 6k-1 (ii) 4k, 4k+1 (iii) k, k+2 (iv) 2k+1, k20222m
PreviousAn algorithm is made up of two independent time complexities f(n) and g(n). Then the complexities of the algorithm is in the order of (i) f(n) \times g(n) (ii) \max \{ f(n), g(n) \} (iii) \min \{ f(n), g(n) \} (iv) f(n) + g(n)NextBFS on a graph G = (V, E) has running time (i) O(|V| + |E|) (ii) O(|V|) (iii) O(|E|) (iv) None of these