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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Mathematical programming 34 (1986), S. 48-61 
    ISSN: 1436-4646
    Keywords: Total Dual Integrality ; Hilbert Basis ; Polyhedra
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract Edmonds and Giles introduced the class of box totally dual integral polyhedra as a generalization of submodular flow polyhedra. In this paper a geometric characterization of these polyhedra is given. This geometric result is used to show that each TDI defining system for a box TDI polyhedron is in fact a box TDI system, that the class of box TDI polyhedra is in co-NP and is closed under taking projections and dominants, that the class of box perfect graphs is in co-NP, and a result of Edmonds and Giles which is related to the facets of box TDI polyhdera.
    Type of Medium: Electronic Resource
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