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    Party Problem

    Alternate name

    maximum clique problem

    Definition

    The party problem, also known as the maximum clique problem, asks to find the minimum number of guests that must be invited so that at least m will know each other or at least n will not know each other. The solutions are known as Ramsey numbers.

    Related terms

    clique | cocktail party graph | glove problem | handshake problem | Ramsey number

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