Answer
The graph has four odd vertices. Therefore, by Euler's theorem, the graph has no Euler paths and no Euler circuits.
Work Step by Step
According to Euler's theorem, for a graph to have at least one Euler path, the number of odd vertices must be either 0 or 2. For a graph to have at least one Euler circuit, the number of odd vertices must be 0.
Vertex B, vertex D, vertex G, and vertex K are odd vertices. The graph has four odd vertices. Therefore, by Euler's theorem, the graph has no Euler paths and no Euler circuits.