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SOLVED:Draw a planar representation for each of the following graphs:
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Determine which of the graphs in Fig. 11.69 are planar. If a graph is planar, redraw it with noedges overlapping. If it is nonplanar, find a subgraph homeomorphic to either K5 or K3.Figure 11.69
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(a) [BB] Show that the graph is planar by drawing an isomorphic plane graph with straight edges. (b) [BB] Label the regions defined by your plane graph and list the edges which form the boundary of each region. (c) [BB] Verify that V-E R=2, N ≤2 E, and E ≤3 V-6 (where, as defined in the proof of Corollary 14.1 .3, N is the sum of the numbers of edges on the boundaries of all regions). | Numerade
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