Question: a) Let G be a graph with exactly two vertices u and v of odd degree. Prove that there is a path from u to

a) Let G be a graph with exactly two vertices u and v of odd degree. Prove that there is a path from u to v. b) Prove that if G is a graph where every vertex has even degree and E(G) con- tains the edge e (in particular, E(G) is not empty) then G has a cycle containing e

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