In the mathematical field of graph theory the Hamiltonian path problem and the Hamiltonian cycle problem are problems of determining whether a Hamiltonian path or a Hamiltonian cycle exists in a given graph (whether directed or undirected). Both problems are NP-complete.
Read more about Hamiltonian Path Problem: Relation Between Problems, Algorithms, Complexity
Famous quotes containing the words path and/or problem:
“The broken ridge of the hills
was the line of a lover’s shoulder,
his arm-turn, the path to the hills,
the sudden leap and swift thunder
of mountain boulders, his laugh.”
—Hilda Doolittle (1886–1961)
“The problem is that we attempt to solve the simplest questions cleverly, thereby rendering them unusually complex. One should seek the simple solution.”
—Anton Pavlovich Chekhov (1860–1904)