Sociologists use graphs to study connections between people and to identify characteristics that make communities more resilient, more likely to stay connected over time. In the graphs shown, the edges represent social connections and the vertices are individuals.

1. Which graph do you think represents the most resilient community? What is the sum of the degrees of all the vertices in this graph?
2. Which graph do you think represents the community that is least likely to stay connected over time? What is the sum of the degrees of all the vertices in this graph?
3. Is the sum of the degrees higher or lower in a more resilient community?

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