Question: Consider several graphs with 8 vertices, (a) draw and justify a bipartite graph and a non-bipartite graph. (b) Identify a spanning tree, if possible, in

Consider several graphs with 8 vertices, (a) draw and justify a bipartite graph and a non-bipartite graph. (b) Identify a spanning tree, if possible, in each of the graphs identified in (a). Provide arguments. Consider one of the graphs in the previous problem (with 8 vertices), assume the graph is connected and has 7 edges. Prove whether the graph must (or not) contain a cycle. Explain whether the graph in the previous problem to be planar. If so, how many faces must it have? Justify your answer.

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