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Unformatted text preview: produce a floor plan. 1 2 1 2 7 <P~4 7 8 8 21. (a) By Kuratowski's Theorem, the graph here is not planar: It contains K 3,3 as a subgraph, with bipartition sets {A, B, F} and {C, D, E}. (b) Call the graph 9. ACBEGFDA is a Hamiltonian cycle. On the left, we show these vertices in order on a circle and draw 9 again. Call the new graph 91. Next, we label the interior edges, a, b, e, d, e, and f, and draw a graph 1i (on the right) whose vertices correspond to a, ... , f....
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This note was uploaded on 11/08/2010 for the course MATH discrete m taught by Professor Any during the Summer '10 term at FSU.
 Summer '10
 any
 Graph Theory

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