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    Eulerian and Non-Eulerian Graphs

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    Let G be a connected graph that is not Eulerian. Prove that it is possible to add a single vertex to G together with some edges from this new vertex to some old vertices so that the new graph is Eulerian.

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    © BrainMass Inc. brainmass.com February 24, 2021, 2:33 pm ad1c9bdddf
    https://brainmass.com/math/graphs-and-functions/eulerian-noneulerian-graphs-28684

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    Solution Summary

    Eulerian and non-eulerian graphs are investigated and discussed. The solution is detailed and well presented.

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