Explore BrainMass

Explore BrainMass

    Eulerian and Non-Eulerian Graphs

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    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.

    Please see attachment for background and hints.

    © BrainMass Inc. brainmass.com December 24, 2021, 5:06 pm ad1c9bdddf


    Solution Summary

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