sexta-feira, 3 de outubro de 2025

Chapter 5 - Barabási-Albert Model

Bitu is an explorer who sets out to visit the mysterious Bara-Al islands — a chain of 96 islands. Each island is connected by a few bridges. Whenever a new island was settled, its bridges were built with a preference for linking to islands that already had many connections. In this way, the Bara-Al islands grew according to Barabási–Albert Model of networks.

So, he wonders: what is the expected maximum number of bridges he would need to cross, starting from one island and traveling to the farthest one?

Note 1: 96 ≈ e^4.5 
Note 2: 4.5 ≈ e^1.5 

A. 3

B. 5

C. 6

D. 8

E. None of the above

Original idea by: Rodolfo Bitu

Um comentário:

  1. Boa questão. Fico com ela. Tive que fazer algumas edições para tentar eliminar toda e qualquer ambiguidade. Também troquei a ordem das alternativas.

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Chapter 5 - Barabási-Albert Model

Bitu is an explorer who sets out to visit the mysterious Bara-Al islands — a chain of 96 islands . Each island is connected by a few bridges...