Computational Complexity Theory
A Hamiltonian path in a graph is a path that visits every vertex exactly once. It represents an important concept in graph theory, particularly in the context of NP-completeness, as determining whether such a path exists in a given graph is a well-known computational problem. The existence of Hamiltonian paths connects closely to other critical topics like the polynomial hierarchy and NP-intermediate problems, highlighting the complexity of certain decision problems.
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