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单词 Hamiltonian graph
释义

Hamiltonian graph

In graph theory, one area of study concerns the possibility of travelling around a graph, going along edges in such a way as to visit every vertex exactly once. A Hamiltonian cycle is a cycle that contains every vertex, and a graph is called Hamiltonian if it has a Hamiltonian cycle. The term arises from Hamilton's interest in the existence of such cycles in the graph formed from the dodecahedron's vertices and edges. Compare eulerian graph.

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更新时间:2025/4/29 20:14:42