If a social network mandates that among any six users, either three are mutually friends or three are mutually strangers, which consequence follows for the network's structure?

💡 Explanation

Ramsey's theorem guarantees that in any sufficiently large graph, a complete subgraph (clique) or an independent set of a certain size is unavoidable. Because the theorem applies to friendship/stranger relations, a clique or independent set of size three must exist; therefore, option C is correct, rather than options describing statistical network properties that may or may not hold.

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