Show that such a cycle exists if and only if the graph is, Basic Computer Science

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Show that such a cycle exists if and only if the graph is

Consider a graph and the question whether there exists a forward cycle that passes through each arc of the graph exactly once. Show that such a cycle exists if and only if the graph is connected and the number of incoming arcs to each node is equal to the number of outgoing arcs from the node.

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Basic Computer Science: Show that such a cycle exists if and only if the graph is

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