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.
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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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