Determine whether each of the following graphs has an Euler circuit. If it does have an Euler circuit, find such a circuit. If it does not have an Euler circuit, explain why you can be 100% sure that it does not.


G1 (the left-hand graph) does not have an Euler circuit because it has a vertex of odd degree.
In fact both vertices g and e have odd degree.
G2 (the right-hand graph) does not have an Euler circuit because it has a vertex of odd degree.
In fact both vertices b and l have odd degree.

Mathematics

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Mathematics