On the existence of a majority committee
Diskretnaya Matematika, Tome 9 (1997) no. 3, pp. 82-95
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Basing on the criterion of existence of a $q$-member committee of an arbitrary system of constraints related to the structure of its set of maximal solvable subsystems, we classify the sets forming a 5-committee in accordance with the corresponding graphs of the maximal solvable subsystems.