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 .
The various senses of "Hamiltionian" in math and physics are named after Irish mathematician, physicist Sir William Rowan Hamilton . ( 1805 – 1865)
Hamiltonian also refers to those who are supporters of views expressed by the eighteenth century American politician Alexander Hamilton , (1755 or 1757 – 1804).