Degree Correlation of a delicious dessert!

 

Dr. John More is a passionate scientist and an even more passionate dessert enthusiast. He dreams of creating the best dulce de leche the world has ever seen by combining different chemical elements, represented as nodes in a network. He conducts three experiments, each revealing unique connection patterns among the elements:

  • Experiment 1: Dr. More notices that elements with high degrees (many connections) prefer to join with elements near the network's edges (low-degree nodes). "This could be the smoothness I need for my dulce de leche," he muses.

  • Experiment 2: Here, high-degree elements only connect to other high-degree elements, leaving isolated elements on the edges. "Maybe this would make my dulce de leche too thick," he wonders.

  • Experiment 3: To his surprise, there is no distinct pattern in this experiment. "Perhaps this one would be a plain, uninspired dulce de leche," he sighs.

Select the correct classification for each experiment based on Dr. More’s dulce de leche observations:

a. Experiment 1 is likely an assortative network, Experiment 2 a neutral network, and Experiment 3 a disassortative network.

b. Experiment 1 is likely a disassortative network, Experiment 2 an assortative network, and Experiment 3 a neutral network.

c. Experiment 1 is likely an assortative network, Experiment 2 a disassortative network, and Experiment 3 a neutral network.

d. Experiment 1 is likely a neutral network, Experiment 2 an assortative network, and Experiment 3 a neutral network.

e. None of the above.

Original idea by: João Vitor Baptista Moreira

Comentários

  1. Joao Meidanis28 de outubro de 2024 às 16:08

    Delightful question, but too many words and not enough quantitative stuff. I'm afraid the lack of pattern could not be unambiguously associated with neutrality of degree correlations.

    ResponderExcluir

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