Draw a directed graph with as few edges as possible that is strongly-connected, has 8 vertices of which one has in-degree 3, two have out-degree 3, and the rest have smaller in- and out-degrees. Prove that you graph has the minimum number of edges.

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Draw a directed graph with as few edges as possible that is strongly-connected, has 8 vertices of which
one has in-degree 3, two have out-degree 3, and the rest have smaller in- and out-degrees. Prove that your
graph has the minimum number of edges.
(Create the drawing in any drawing editor and include it as an image in your answer.)
Transcribed Image Text:Draw a directed graph with as few edges as possible that is strongly-connected, has 8 vertices of which one has in-degree 3, two have out-degree 3, and the rest have smaller in- and out-degrees. Prove that your graph has the minimum number of edges. (Create the drawing in any drawing editor and include it as an image in your answer.)
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