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Consider the collection of all undirected graphs with 10 nodes and 6 edges. Let M and m, respectively, be the maximum and minimum number
Consider the collection of all undirected graphs with 10 nodes and 6 edges. Let M and m, respectively, be the maximum and minimum number of connected components in any graph in the collection. If a graph has no selfloops and there is at most one edge between any pair of nodes, which of the following is true? (A) M: = 10, m = 10 (B) M : (C) M = 7, m = 4 (D) M = 6, m = 4 (E) M = 6, m = 3 Justify your selection by ruling out the other choices. Show two graphs that satisfy M and m. = = 10, m = 1
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