Verify, “If an undirected graph has exactly two vertices of odd degree there must be a path joining these two vertices.”

To verify the statement "If an undirected graph has exactly two vertices of odd degree, there must be a path joining these two vertices," we can employ the concept of Eulerian paths and circuits.

Firstly, let's understand some basics. In an undirected graph, the degree of a vertex is the number of edges incident to it. If a vertex has an odd degree, it means that an odd number of edges connect to it.

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