7. Let G be an undirected graph with vertex and edge sets given below: V = {1, 2, 3, 4, 5, 6}, E= {12, 14, 15, 23, 25, 34, 36, 46, 56). (a) Draw G in the plane. (b) Show that G is planar. How many faces does a planar representation of G have? (c) Determine if G is graph isomorphic to the graph H given in Figure 1, why? Ø

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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7. Let G be an undirected graph with vertex and edge sets given below:
V = {1, 2, 3, 4, 5, 6}, E = {12, 14, 15, 23, 25, 34, 36, 46, 56).
(a) Draw G in the plane.
(b) Show that G is planar. How many faces does a planar representation of G have?
(c) Determine if G is graph isomorphic to the graph H given in Figure 1, why?
☆
Figure 1: Graph H
Transcribed Image Text:7. Let G be an undirected graph with vertex and edge sets given below: V = {1, 2, 3, 4, 5, 6}, E = {12, 14, 15, 23, 25, 34, 36, 46, 56). (a) Draw G in the plane. (b) Show that G is planar. How many faces does a planar representation of G have? (c) Determine if G is graph isomorphic to the graph H given in Figure 1, why? ☆ Figure 1: Graph H
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