Question

Give evidence that the following property occurs in random graphs, provided that the number of vertices n is assumed to be large. If p << 1/n, then with high probability Gn,p has at least one triangle. Use computer experiments. You need to run a decent number of computer experiments, with sufficiently large n, and observe the occurrence of that property. You will need to report the number of vertices n, the value of p, the number of experiments, and the number of occurrences of the property.

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Random Graph and Probability Problem

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