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Let G' be a connected graph that has exactly 4 vertices of odd degree: 121,112,123 and '04. Show that there are paths with no repeated

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Let G' be a connected graph that has exactly 4 vertices of odd degree: 121,112,123 and '04. Show that there are paths with no repeated edges from '01 to '02, and from '03 to '04, such that every edge in G' is in exactly one of these paths

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