Question: Draw a graph with eight vertices that is connected Where each vertex has: (a) (1 point) degree 2 (h) (1 point] degree 3 (c) (1

Draw a graph with eight vertices that is connected Where each vertex has: (a) (1 point) degree 2 (h) (1 point] degree 3 (c) (1 point] degree 4 (d) (2 points) Do all graphs with 8 vertices having degree 2 have the same number of edges? Explain. (4 points) Can you draw a graph that is connected and for which the degrees of vertices are the consec- utive integers 2 to 6? Ifso, draw one. If not, explain. If the graph exists, can it have an Euler circuit? If 50, nd it. If not, explain. (4 points) Draw a graph that is not connected with 8 vertices, all of whose vertices have degree 2. (4 points) Find an Euler path in the graph below

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