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- W2029880758 abstract "A linear system Ax ⩽ b (A, b rational) is said to be totally dual integral (TDI) if for any integer objective function c such that max {cx: Ax ⩽ b} exists, there is an integer optimum dual solution. We show that if P is a polytope all of whose vertices are integer valued, then it is the solution set of a TDI system Ax ⩽ b where b is integer valued. This was shown by Edmonds and Giles [4] to be a sufficient condition for a polytope to have integer vertices." @default.
- W2029880758 created "2016-06-24" @default.
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- W2029880758 date "1979-06-01" @default.
- W2029880758 modified "2023-10-14" @default.
- W2029880758 title "Total dual integrality and integer polyhedra" @default.
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- W2029880758 doi "https://doi.org/10.1016/0024-3795(79)90018-1" @default.
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