Maximal Flow Through a Network

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最大流通过网络

“考虑一个铁路网络,通过若干中间城市连接两个城市,其中网络的每条链路都有一个表示其容量的数字。假设处于稳态,求从一个给定城市到另一个城市的最大流。”

References

  1. G. B. Dantzig, *Maximization of a linear function of variables subject to linear inequalities: Activity analysis of production and allocation* (Cowles Commission, 1951).
  2. H. Whitney, *Non-separable and planar graphs*, Trans. Amer. Math. Soc., *34* (1932), 339–362.
  3. ———, *Planar graphs*, Fundamenta Mathematicae, *21* (1933), 73–84. Rand Corporation, Santi Monica, California

Read off the page by a vision model reading the page images using olmOCR-2-7B-1025-FP8. Translated into 中文 by gpt-5, against glossary version 6. Translated from the English.