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What is the smallest integer n such that the complete graph km has atleast 500 edges?
Wiki User
∙ 11y ago
We know that the complete graph has n(n-1)/2 edges and we want to find out n such that n(n-1)/2 greater or equal to 500.
Thus n(n-1) greater or equal to 1000.
Taking n=33, we have,
n(n-1)=33(33-1)=1056>1000.
Therefore required smallest integer is n=33.
Wiki User
∙ 11y ago
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