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A system of linear inequalities with a submodular function on \(\{0,\pm 1\}\) vectors

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Publication:761525
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DOI10.1016/0024-3795(84)90147-2zbMath0556.15011OpenAlexW1969749887WikidataQ56341653 ScholiaQ56341653MaRDI QIDQ761525

Satoru Fujishige

Publication date: 1984

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(84)90147-2

zbMATH Keywords

consistencysubmodular functionlinear inequalitiestotal dual integrality


Mathematics Subject Classification ID

Linear inequalities of matrices (15A39)


Related Items

Strongly polynomial and fully combinatorial algorithms for bisubmodular function minimization, A characterization of bisubmodular functions, Directed submodularity, ditroids and directed submodular flows



Cites Work

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  • A note on Frank's generalized polymatroids
  • On two minimax theorems in graph
  • Proving total dual integrality with cross-free families—A general framework
  • Theory of submodular programs: A fenchel-type min-max theorem and subgradients of submodular functions
  • Submodular systems and related topics
  • A generalization of max flow—min cut
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