Combinatorics › Pigeonhole and extremal problems

Ramsey-type colourings

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Coloured beads and balloonsCoprime subsetsDivisibility chainsExtremal countingFamilies of setsForcing a sum conditionGuaranteed minimumMaximum sums in sequencesPairs and the pigeonhole principleParity arrangementsSmallest sums of setsSubsets avoiding differences