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  3. let g be a graph. for each of the following, deter

Let G be a graph. For each of the following, determine if the statement is true...

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Advance Math

Let G be a graph. For each of the following, determine if thestatement is true or false. If it's true, provide a proof and ifit's false, provide a counterexample.

(a) G has a cycle if and only if G has a circuit

(b) G has a closed walk if and only if G has a circuit

(c) G has an odd-lengthed cycle if and only if G has anodd-lengthed circuit

(d) G has an odd-lengthed closed walk if and only if G has anodd- lengthed circuit

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