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A Theorem on Flows in Networks

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Classic Papers in Combinatorics

Part of the book series: Modern Birkhäuser Classics ((MBC))

Abstract

The theorem to be proved in this note is a generalization of a well-known combinatorial theorem of P. Hall, [4].

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References

  1. G. B. Dantzig and D. R. Fulkerson, On the ma.x-flow min-cut theorem of networks,Ann. of Math. Study No. 38, Contributions to linear inequalities and related topics,edited by H. W. Kuhn and A. W. Tucker, 215-221.

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  2. L. R. Ford, Jr., and D. R. Fulkerson, Maximal flow through a network,Canad. J. Math. 8 (1956), 399-404.

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  3. L. R. Ford, Jr., and D. R. Fulkerson, A simple algorithm for finding maximal network flows aud an application to the Hitchcock problem,Canad. J. Math. 9 (1957), 210-218.

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  4. P. Hall. On Representatives of Subsets,J. London Math. Soc, 10 (1935), 26-30.

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© 2009 Birkhäuser Boston, a part of Springer Science+Business Media, LLC

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Gale, D. (2009). A Theorem on Flows in Networks. In: Gessel, I., Rota, GC. (eds) Classic Papers in Combinatorics. Modern Birkhäuser Classics. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4842-8_17

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  • DOI: https://doi.org/10.1007/978-0-8176-4842-8_17

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-0-8176-4841-1

  • Online ISBN: 978-0-8176-4842-8

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