Multi-Terminal Network Flows

Previous article Next article Multi-Terminal Network FlowsR. E. Gomory and T. C. HuR. E. Gomory and T. C. Huhttps://doi.org/10.1137/0109047PDFPDF PLUSBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout1 L. R. Ford, Jr. and , D. R. Fulkerson, Maximal flow through a network, Canad. J. Math., 8 (1956), 399–404 MR0079251 0073.40203 CrossrefGoogle Scholar2 Wataru Mayeda, Terminal and branch capacity matrices of a communication net, IRE Trans., CT-7 (1960), 261–269 MR0120055 Google Scholar3 R. T. Chien, Synthesis of a communication net, IBM J. Res. Develop., 4 (1960), 311–320 MR0122574 0095.11404 CrossrefISIGoogle Scholar4 Joseph B. Kruskal, Jr., On the shortest spanning subtree of a graph and the traveling salesman problem, Proc. Amer. Math. Soc., 7 (1956), 48–50 MR0078686 0070.18404 CrossrefGoogle Scholar5 R. C. Prim, Shortest connection networks and some generalizations, Bell System Tech. J., 36 (1957), 1389–1401 CrossrefISIGoogle Scholar6 R. E. Gomory and , T. C. Hu, An application of generalized linear programming to network flows, IBM Research Report RC-319, 1960, September Google Scholar7 Claude Berge, Théorie des graphes et ses applications, Collection Universitaire de Mathématiques, II, Dunod, Paris, 1958viii+277 MR0102822 Google Scholar8 O. Wing, Minimal realization of a communication net under uniform cost, IBM Research Report ES 0026, 1960, August Google Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails When Do Gomory--Hu Subtrees Exist?Guyslain Naves and Bruce ShepherdSIAM Journal on Discrete Mathematics, Vol. 36, No. 3 | 5 July 2022AbstractPDF (539 KB)Local Flow Partitioning for Faster Edge ConnectivityMonika Henzinger, Satish Rao, and Di WangSIAM Journal on Computing, Vol. 49, No. 1 | 7 January 2020AbstractPDF (586 KB)Efficiently Realizing Interval SequencesAmotz Bar-Noy, Keerti Choudhary, David Peleg, and Dror RawitzSIAM Journal on Discrete Mathematics, Vol. 34, No. 4 | 9 November 2020AbstractPDF (530 KB)Densities, Matchings, and Fractional Edge-ColoringsXujin Chen, Wenan Zang, and Qiulan ZhaoSIAM Journal on Optimization, Vol. 29, No. 1 | 22 January 2019AbstractPDF (504 KB)Minimum Cuts and Shortest Cycles in Directed Planar Graphs via Noncrossing Shortest PathsHung-Chun Liang and Hsueh-I LuSIAM Journal on Discrete Mathematics, Vol. 31, No. 1 | 7 March 2017AbstractPDF (826 KB)Fast Augmenting Paths by Random Sampling from Residual GraphsSIAM Journal on Computing, Vol. 44, No. 2 | 31 March 2015AbstractPDF (328 KB)Preserving Terminal Distances Using MinorsSIAM Journal on Discrete Mathematics, Vol. 28, No. 1 | 28 January 2014AbstractPDF (315 KB)Computing the Girth of a Planar Graph in Linear TimeSIAM Journal on Computing, Vol. 42, No. 3 | 30 May 2013AbstractPDF (431 KB)Efficient Edge Splitting-Off Algorithms Maintaining All-Pairs Edge-ConnectivitiesSIAM Journal on Computing, Vol. 42, No. 3 | 20 June 2013AbstractPDF (344 KB)Integer Exact Network Synthesis ProblemSIAM Journal on Discrete Mathematics, Vol. 23, No. 1 | 14 November 2008AbstractPDF (275 KB)Odd Minimum Cut Sets and b-Matchings RevisitedSIAM Journal on Discrete Mathematics, Vol. 22, No. 4 | 1 October 2008AbstractPDF (149 KB)Fractional Packing of T-JoinsSIAM Journal on Discrete Mathematics, Vol. 17, No. 4 | 1 August 2006AbstractPDF (149 KB)Compact Representations of CutsSIAM Journal on Discrete Mathematics, Vol. 14, No. 1 | 1 August 2006AbstractPDF (197 KB)The General Structure of Edge-Connectivity of a Vertex Subset in a Graph and its Incremental Maintenance. 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