Estimate of the number of members in the minimal committee of a system of linear inequalities (Q1569404)

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scientific article; zbMATH DE number 1467926
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Estimate of the number of members in the minimal committee of a system of linear inequalities
scientific article; zbMATH DE number 1467926

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    Estimate of the number of members in the minimal committee of a system of linear inequalities (English)
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    4 July 2000
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    The author obtains the condition of solvability for a system of inequalities, based on the study of the structure of a hypergraph of maximal consistent subsystems of a system of homogeneous linear inequalities on the plane. That allows one to refine the upper estimate for the member of members of the minimal committee of an arbitrary system of linear inequalities.
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    minimal committee
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    hypergraph of maximal consistent subsystems
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    linear inequalities
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