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单词 Hamiltonian tour
释义

Hamiltonian tour

英语百科

Hamiltonian path

A Hamiltonian cycle in a dodecahedron. Like all platonic solids, the dodecahedron is Hamiltonian.
The Herschel graph is the smallest possible polyhedral graph that does not have a Hamiltonian cycle.

In the mathematical field of graph theory, a Hamiltonian path (or traceable path) is a path in an undirected or directed graph that visits each vertex exactly once. A Hamiltonian cycle (or Hamiltonian circuit) is a Hamiltonian path that is a cycle. Determining whether such paths and cycles exist in graphs is the Hamiltonian path problem, which is NP-complete.

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