The graphs in YOUR TURN 12.6 represent social communities. The vertices are individuals and the edges are social connections. Use the graphs to answer the questions.
- Which graph has the most triads? Name the triangles.
- Which graph has the fewest triads? Name the triangles.
- How might an increase in the number of triads in a graph affect the resilience of a community? Explain your reasoning.
- Identify a clique with more than three vertices in Graph E by naming its vertices.
OpenStax Contemporary Mathematics, 12.2 Graph Structures, exercise 11