Question: Can you a graph be created which has the following characteristics: Six vertices, five edges, not a tree [yes/no] Five vertices, tree, total degree 10

Can you a graph be created which has the following characteristics:

  1. Six vertices, five edges, not a tree [yes/no]
  2. Five vertices, tree, total degree 10 [yes/no]
  3. Connected, eight vertices, six edges [yes/no]
  4. Connected, twelve vertices, eleven edges, Euler circuit [yes/no]

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