Answer
According to the rules of traversability of the graph theory, a graph is traversable if there are two odd vertices. It is not traversable if there are more than two odd vertices. In the given figure there are four odd vertices (A, B, D,and E, because the number of edges attached to these vertices is odd) and only one even vertex (C, because the number of edges attached to this vertex is even).
Hence, the given figure is not traversable.