Helly-type theorems and Generalized Linear Programming

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Helly-Type Theorems and Generalized Linear Programming

Recent combinatorial algorithms for linear programming can also be applied to certain non-linear problems. We call these Generalized Linear Programming, or GLP, problems. We connect this class to a collection of results from combinatorial geometry called Helly-type theorems. We show that there is a Helly-type theorem about the constraint set of every GLP problem. Given a family H of sets with a...

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ژورنال

عنوان ژورنال: Discrete & Computational Geometry

سال: 1994

ISSN: 0179-5376,1432-0444

DOI: 10.1007/bf02574379