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K-submodular functions and convexity of their Lovász extension

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Publication:1613409
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DOI10.1016/S0166-218X(01)00318-3zbMath1019.90036MaRDI QIDQ1613409

Kazutoshi Ando

Publication date: 29 August 2002

Published in: Discrete Applied Mathematics (Search for Journal in Brave)


zbMATH Keywords

submodular functionGreedy algorithmlattice polyhedron


Mathematics Subject Classification ID

Approximation methods and heuristics in mathematical programming (90C59) Combinatorial optimization (90C27)


Related Items (2)

Dual greedy polyhedra, choice functions, and abstract convex geometries ⋮ A greedy algorithm for convex geometries



Cites Work

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  • Submodular functions and optimization
  • Geometric algorithms and combinatorial optimization
  • On the core of ordered submodular cost games
  • A note on Faigle and Kern's dual greedy polyhedra
  • Submodular linear programs on forests
  • Structural aspects of ordered polymatroids
  • An order-theoretic framework for the greedy algorithm with applications to the core and Weber set of cooperative games


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