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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? Ø

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

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter12: Angle Relationships And Transformations
Section12.5: Reflections And Symmetry
Problem 20E
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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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