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- W4386514698 abstract "Abstract In our note we present a very simple and short proof of a new interesting fact about the faces of an integer hull of a given rational polyhedron. This fact has a complete analog in Linear Programming theory and can be useful to establish new constructive upper bounds on the number of vertices in integer hulls of $Delta$-modular polyhedra, which can theoretically be useful for integer linear maximization problems with a convex or quasiconvex objective function. Additionally, we introduce the notion of emph{deep bases} of a linear program. The problem to estimate their number by a non-trivial way seems to be quite challenging." @default.
- W4386514698 created "2023-09-08" @default.
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- W4386514698 date "2023-09-08" @default.
- W4386514698 modified "2023-10-16" @default.
- W4386514698 title "On a Simple Connection Between ∆-modular ILP and LP, and a New Bound on the Number of Integer Vertices" @default.
- W4386514698 doi "https://doi.org/10.21203/rs.3.rs-3320258/v1" @default.
- W4386514698 hasPublicationYear "2023" @default.
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