can I have a directed cyclic graph with just two vertexes?

StackOverflow https://stackoverflow.com//questions/20024382

Question

Is this a legal cyclic directed graph? It has only two nodes.

 A  --------->   B
      <--------
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Solution

you can have directed cycles between two nodes, its completely valid. even cycles from Node A to Node A is valid (in case of undirected)

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