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

If G is a planar graph with a vertices, ecdges, f taces and k ... | Filo

Embedding Planar Graphs

Draw a planar representation of each graph. | Numerade

A planar graph G is said to be completely regular if the degrees of all vertices of G are equal and every region is bounded by the same number of edges. The graphs in Figs. 2-20(a) and 2-21(b) are completely regular, for example. Show that there are only five possible simple completely regular planar graphs, excluding the trivial graphs with degree ≤2. Sketch them. | Numerade

Determine whether the given graph is planar. If so, draw it so that no edges cross. | Numerade