hamiltonian-path

Can some one tell me the difference between hamiltonian path and euler path. They seem similar! Chris Diver An Euler path is a path that crosses every edge exactly once without repeating, if it ends at the initial vertex then it is a Euler cycle. A Hamiltonian path passes through each vertex (note not each edge), exactly once, if it ends at the initial vertex then it is a Hamiltonian cycle. In a Euler path you might pass through a vertex more than once. In a Hamiltonian path you may not pass through all edges. Eulerian path must visit each edge exactly once, while Hamiltonian path must visit