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:
““O what unlucky streak
Twisting inside me, made me break the line?
What was the rock my gliding childhood struck,
And what bright unreal path has led me here?””
—Philip Larkin (1922–1986)
“The problem is simply this: no one can feel like CEO of his or her life in the presence of the people who toilet trained her and spanked him when he was naughty. We may have become Masters of the Universe, accustomed to giving life and taking it away, casually ordering people into battle or out of their jobs . . . and yet we may still dirty our diapers at the sound of our mommy’s whimper or our daddy’s growl.”
—Frank Pittman (20th century)