Eulerize this graph in an efficient way, then find an Euler circuit on the eulerized graph. Give your answer as a list of vertices, starting and ending at the same vertex. Example: ABCBA
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A graph is Eulerian if all vertices have even degree. If the graph is not Eulerian, we need to make it Eulerian by adding edges. This process is called Eulerization. After Eulerization, we can find an Euler circuit. An Euler circuit is a circuit that uses every Show more…
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Complete the parts below by indicating your answer on the graph or by writing it as a sequence of vertices. (The arrow(s) show the order in which the edges are traveled. The first edges are shown.) (a) Complete an Euler path starting at vertex B. (b) Complete an Euler circuit starting at vertex W. Sequence B, C, D, G, A Sequence W, U, S, T
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Use the graph on the right. Find a Hamilton PATH starting at A and ending at E. Answer by listing the vertices in the order you use them. Find a Hamilton CIRCUIT starting at D and ending at D. Answer by listing the vertices in the order you use them. C B A G F E D C represents a Hamilton circuit. Re-write this Hamilton circuit so that it starts and ends at vertex G.
Determine whether there is a path in the directed graph in Exercise 16 beginning at the first vertex given and ending at the second vertex given. $$ \begin{array}{llll}{\text { a) } a, b} & {\text { b) } b, a} & {\text { c) } b, b} \\ {\text { d) } a, e} & {\text { e) } b, d} & {\text { f) } c, d} \\ {\text { g) } d, d} & {\text { h) } e, a} & {\text { i) } e, c}\end{array} $$
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