Does this have a Euler circuit or a Euler path?

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Not quite sure on how to find the Euler path in here. If there's even one.

diagram

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There is a standard method for checking whether a simple connected graph has an Eulerian Circuit. A simple connected graph has an Eulerian circuit iff the degree of every vertex is even. Then, you can just go ahead and on such a small graph construct one. For example, ABFECDEGCBGFA.

However, all you need for an Eulerian path is that at least n-2 vertices have even degree where n is the number of vertices in your graph. Then , you start at a vertex with odd degree and end at one as well.