graphs can be cycle graphs for a single group. We give examples of each in the non-uniqueness section.

Example and properties

As an example of a group cycle graph, consider the dihedral group Dih₄. The multiplication table for this group is shown on the left, and the cycle graph is shown on the right, with e specifying the identity element.

Notice the cycle {e, a, a², a³} in the multiplication table, with a⁴ = e. The inverse a^-1

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