Analyze each graph and explain why the graph does or does not have an Euler circuit. If it does, specify the nodes within the circuit. a e (iii) Figure 8: A graph with five vertices, a, b, c, d, and e. Verter a is connected to no verter. Verter b is connected to c and e. Verter c is connected to b and d. Verter d is connected to c and e. Verter e is connected to b and d. d b e a iv) Figure 9: An undirected graph ħas 7 vertices, a through g. 5 vertices are in the form of a regular pentagon, rotated 90 degrees clockwise. Hence, the top verter becomes the rightmost verter. From the bottom left verter, moving clockwise, the vertices in the pentagon shape are labeled: a, b, c, e, and f. Verter d is above verter e, below and to the right of verter c. Verter g is below verter e, above and to the right of verter f. Undirected edges, line segments, are between the following vertices: a and b; a and c; a and f; b and f; b and c; c and d; c and and e; d and f; and f and g.

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