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The complexity of minimizing the difference of two \(M^{\natural}\)-convex set functions

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Publication:1785434
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DOI10.1016/j.orl.2015.08.011zbMath1408.90243OpenAlexW1236105380MaRDI QIDQ1785434

Yusuke Kobayashi

Publication date: 28 September 2018

Published in: Operations Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.orl.2015.08.011


zbMATH Keywords

matroidNP-hardnessDC programming\(M^{\natural}\)-convex set functions


Mathematics Subject Classification ID

Abstract computational complexity for mathematical programming problems (90C60) Nonconvex programming, global optimization (90C26) Computational difficulty of problems (lower bounds, completeness, difficulty of approximation, etc.) (68Q17)


Related Items (2)

Strong substitutes: structural properties, and a new algorithm for competitive equilibrium prices ⋮ Continuous relaxation for discrete DC programming



Cites Work

  • Unnamed Item
  • A framework of discrete DC programming by discrete convex analysis
  • Valuated matroids
  • Submodular functions and optimization.
  • M-Convex Function on Generalized Polymatroid


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