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:
“They take abuse
with smiles,
their hardship
with great ceremony,
their quarrels
with tears:
This is the path of good women.”
—Hla Stavhana (c. 50 A.D.)
“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)