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Menger定理
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Menger定理
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Menger's theorem
Menger定理
1956年,福特(Ford)和富尔克森(Fulkerson)以及埃利亚斯(Elias)等人独立地给出了著名的最大流最小割定理(max-flow min-cut theorem):在任意网络中,一个最大流的值等于一个最小割的容量。最大流最小割定理的应用非常广泛,只要选择合适的网络,图论中许多重要的结果就可由该定理直接推得。譬如将该定理应用到有向图中,便是著名的Menger定理(Menger's theorem),由K.门杰(K.Menger)于1927年提出。
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