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Extremal graph

Source: Mongolian Mathematical Olympiad P5

January 30, 2024
combinatoricsgraph theoryExtremal

Problem Statement

There are nn students in a class, and some pairs of these students are friends. Among any six students, there are two of them that are not friends, and for any pair of students that are not friends there is a student among the remaining four that is friends with both of them. Find the maximum value of nn.