The Round Table

Around a round table are 12 chairs, with knights sitting on some of them. Arthur wants to join the meeting,
and it turns out that no matter where he sits, someone is definitely sitting next to him.
What is the smallest number of knights that can be around the table to ensure this is true? (not including Arthur)

Difficulty level (1 very easy - 10 very hard): 1

Topics:
Combinatorics -> Pigeonhole Principle Logic -> Reasoning / Logic Proof and Example -> Constructing an Example / Counterexample Combinatorics -> Case Analysis / Checking Cases -> Processes / Procedures
Sources:
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