Last Updated
：2025/11/29
Ore's theorem
Proper noun
Japanese Meaning
グラフ理論において、隣接していない頂点の全ての組に対し、それらの頂点の次数（辺の数）の和がグラフ全体の頂点数以上であれば、そのグラフはハミルトン閉路（すべての頂点を一度ずつ通る閉路）を持つという定理
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(graph theory) A theorem that considers the sum of the degrees of pairs of non-adjacent vertices: if every such pair has a sum that at least equals the total number of vertices in the graph, then the graph is Hamiltonian.
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Ore's theorem
In our graph theory seminar, we used Ore's theorem to prove that the network contains a Hamiltonian cycle.
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In our graph theory seminar, we used Ore's theorem to prove that the network contains a Hamiltonian cycle.
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