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An Eulerian graph is randomly traceable from a vertex v if, whenever we start from v and traverse the graph in an arbitrary way never using any edge twice, we eventually obtain an Eulerian trail. (i) Show that the graph in Fig. 2.22 is randomly traceable. (ii) Give an example of an Eulerian graph that is not randomly traceable. (iii) Why might a randomly traceable graph be suitable for the layout of an exhibition? | Numerade
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