1. (a) What is the maximum number of edges that a bipartite planar graph with 10 vertices can have? Give a planar drawing of a bipartite graph attaining this number of edges. (b) If a connected planar graph with n vertices, all of degree 4, has 10 regions, determine n. Give an example of such a graph.

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1. (a) What is the maximum number of edges that a bipartite planar graph with 10 vertices can
have? Give a planar drawing of a bipartite graph attaining this number of edges.
(b) If a connected planar graph with n vertices, all of degree 4, has 10 regions, determine n.
Give an example of such a graph.
a
Transcribed Image Text:1. (a) What is the maximum number of edges that a bipartite planar graph with 10 vertices can have? Give a planar drawing of a bipartite graph attaining this number of edges. (b) If a connected planar graph with n vertices, all of degree 4, has 10 regions, determine n. Give an example of such a graph. a
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