Question: An undirected graph may or may not have an Euler cycle, and may or may not have a Hamiltonian cycle. Therefore, there are four groups

An undirected graph may or may not have an Euler cycle, and may or may not have a
Hamiltonian cycle. Therefore, there are four groups of undirected graphs, depending on
whether they have a Hamiltonian and/or Euler cycle. Give one 6-node graph in each group.

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