2007-03-01 00:42:03 · 2 answers · asked by Kriz S 1 in Science & Mathematics ➔ Mathematics
They are closely related. Both are types of graphs that allow the construction of a closed path. However, while the Eulerian graph allows visitation of each edge only once, a Hamiltonian graph allows visitation of each vertex only once. A Hamiltonian graph is also Eulerian, but an Eulerian graph is not necessarily Hamiltonian. Hamiltonian and Eulerian graphs are useful for solving problems that involve travel paths, routings, and other linkages among nodes.
2007-03-01 01:03:33 · answer #1 · answered by DavidK93 7 · 1⤊ 0⤋
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2016-11-26 21:52:25 · answer #2 · answered by ? 4 · 0⤊ 0⤋