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 purifying, healing influence of literature, the dissipating of passions by knowledge and the written word, literature as the path to understanding, forgiveness and love, the redeeming might of the word, the literary spirit as the noblest manifestation of the spirit of man, the writer as perfected type, as saint.”
—Thomas Mann (1875–1955)
“Great speeches have always had great soundbites. The problem now is that the young technicians who put together speeches are paying attention only to the soundbite, not to the text as a whole, not realizing that all great soundbites happen by accident, which is to say, all great soundbites are yielded up inevitably, as part of the natural expression of the text. They are part of the tapestry, they aren’t a little flower somebody sewed on.”
—Peggy Noonan (b. 1950)