10. (5 points) The edge-node incident matrix of a certain digraph is 12 x 10 and

Question

10. (5 points) The edge-node incident matrix of a certain digraph is 12 x 10 and has rank 7. Which of the following statements is correct? (A) the digraph is disconnected with 3 connected subgraphs and it also has 2 small independent loops (B) not enough information is given to answer this question (C) the digraph is disconnected with 2 connected subgraphs and it also has 5 small independent loops (D) the digraph is disconnected with 3 connected subgraphs and it also has 5 small independent loops (E) the digraph is disconnected with 2 connected subgraphs and it also has 4 small independent loops

Explanation / Answer

B) Not enough information.

we can construct lot of digraphs by given conditions, which satisfies conditions of given options.

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