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Consider an undirected graph G that has n distinct vertices. Assume n≥3. How many distinct edges...

  1. Consider an undirected graph G that has n distinct vertices. Assume n≥3.

  1. How many distinct edges will there be in any circuit for G that contains all the vertices in G?
  2. What is the maximum degree that any vertex in G can have?
  3. What is the maximum number of distinct edges G can have?
  4. What is the maximum number of distinct edges that G can have if G is disconnected?

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