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Test sets for integer programs

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Publication:1365062
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DOI10.1007/BF02614324zbMath0887.90124MaRDI QIDQ1365062

Herbert E. Scarf

Publication date: 28 August 1997

Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)


zbMATH Keywords

Groebner basessimplicial complex of maximal lattice free bodies


Mathematics Subject Classification ID

Integer programming (90C10)


Related Items

On Augmentation Algorithms for Linear and Integer-Linear Programming: From Edmonds--Karp to Bland and Beyond, Solving MIPs via scaling-based augmentation, Combinatorial types of bicyclic polytopes, Short rational generating functions for lattice point problems



Cites Work

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  • Lattice translates of a polytope and the Frobenius problem
  • The complex of maximal lattice free simplices
  • Variation of cost functions in integer programming
  • Gröbner bases of lattices, corner polyhedra, and integer programming
  • Integral Polyhedra in Three Space
  • Neighborhood Systems for Production Sets with Indivisibilities
  • Production Sets with Indivisibilities, Part I: Generalities
  • Production Sets with Indivisibilities, Part II: The Case of Two Activities
  • On the foundations of linear and integer linear programming I
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