Question about Graph Theory - Ingrid Barbosa - 06/03/2026 - MO412


Consider an undirected network, where the node degree vector is \(K = [3, 2, 2, 3, 2, 2]\), and determine if the statements are True or False.


I. The maximum possible number of links in this network is 30.

II. The average degree of the network is 2.33.

III. This network has 6 links.

IV. It is possible that the diameter of the network is 3.

V. The degree distribution is \( P(2) =  \frac{4}{7} \) , and  \( P(3) =  \frac{2}{7} \).


Which of the statements are correct?

A) I and II

B) II, III and V

C) II and IV

D) II only

E) None of the above.


Original idea by: Ingrid Barbosa

Comments

  1. Joao MeidanisMarch 7, 2026 at 9:42 AM

    Dear Ingrid, wonderful question. However, an artificial intelligence was able to answer it correctly, so I'm afraid it is not suitable for our official blog.

    ReplyDelete

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