Abstract
Let N( n, k) be the minimum number of pairwise edge disjoint monochromatic complete graphs K k in any 2-coloring of the edges of a K n . Upper and lower bounds on N( n, k) will be given for k⩾3. For k=3, exact values will be given for n⩽11, and these will be used to give a lower bound for N( n,3).
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