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Hamiltonian



         


In physics, Hamiltonian has two distinct but closely related meanings.

In graph theory, a graph is Hamiltonian if it contains a path that starts and ends at the same vertex and includes each vertex exactly once. Such a path is called a Hamiltonian cycle.

In group theory, see Hamiltonian group.

Both the Hamiltonian operator in physics and Hamiltonian cycles in graph theory are named after Sir William Rowan Hamilton.

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