Consider the following graph. d a g Og and b O c and e Ob and i Og and f b h e (a) Without adding new vertices, add a single edge to the graph so that the new graph will have an Euler path. Which vertices does your new edge connect? Ob and h O i and d Od and h Oh and f O a and e (b) In addition to the edge from part (a), add a second edge (using the existing vertices) so that the resulting graph will have an Euler circuit. Which vertices does your second new edge connect? Od and c

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