Random network

Which of the following statements regarding random networks is true?

I. Real networks follow the same properties as random networks.

II. The exact degree of distribution of a random network is calculated by the binomial distribution. The binomial distribution depends only on one parameter, <k>.

III. An approximate way to calculate the degree of distribution of a random network is through the Poisson distribution. To make this approximation, the value of N must be large and the value of the probability p must be small.

IV. The Poisson distribution depends only on one parameter <k>, while the Binomial distribution depends on p and N.


A. All of the above

B. II and III

C. III and IV

D. III

E. None of the above


Original idea by: Caroline Nakazato

Comentários

  1. Joao Meidanis2 de setembro de 2024 às 14:41

    Interesting question, but it has some problems. Statement I is vague. Which properties is it referring to? You have to be mor specific. Also, 'degree of distribution' is wrong. The correct phrase is 'degree distribution', which means, 'distribution of degrees'. Finally, I think that naming the Poisson parameters may be confusing. People usually use the Greek letter lambda for this parameter. We use in applications to network science, but, for general Poisson, as in Statement IV, it may be misleading.

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