Six students share a house near the campus: Amy, Becky, Cindy, Dorothy, Ester, and Fiona. Friends discuss important things with each other. Observation shows that Amy discusses important things with Becky (and Becky with Amy). Cindy and Dorothy also discuss important things with Becky (and Becky with each of them). However, Amy does not discuss important things with Cindy, Dorothy, Ester, or Fiona. Similarly Dorothy only discusses important things with Becky and Ester. Ester discusses important things with Dorothy, with Cindy, and with Fiona. Fiona likes only Ester and only discusses important things with her. Diagram the discussion network among the six students. Calculate the density of the network. Do you think the network shows point vulnerability? Explain why.