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The difference between "average" and "expectation"

Hi maelfabien, I have a question about your article Graph Analysis. For Erdos-Rรฉnyi model, you mentioned that

The average degree is given by nร—p.

and

The degree expectation is given by (nโˆ’1)ร—p

I know that for binomial distribution in the article, the expectation is (n-1)ร—p. But what does the "average degree" mean? I am puzzled about these two concepts. Could you please explain it? Thanks in advance.

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