Hamiltonian Path

Hamiltonian Path

Path that passes only once through each of the vertices in a directed graph.

Example

In this directed graph, the path connecting the vertices A, B, C, D and E in order is a Hamiltonian path of length 5. It is formed by the arcs abcd and e.

Note that it is not necessary for the path to pass through all of the edges of the graph. It’s like a postal delivery person’s path, which must pass by all of the addresses along the route.

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