5 5₁ 4 8 10 10 so (a) G₁ 16 (c) G3 9 7 7 (8 3 3 2 2 5, 8 9 10 60 (b) G₂ 1 10 (d) G4 Figure 12.24 Which graphs are isomorphic? 1 (8 5 3 2 2 4 3

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.3: Logarithmic Functions And Their Graphs
Problem 137E
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Discrete Math

Determine which among the four graphs pictured in Figure 12.24 are isomorphic.
For each pair of isomorphic graphs, describe an isomorphism between them. For
each pair of graphs that are not isomorphic, give a property that is preserved under
isomorphism such that one graph has the property, but the other does not. For
at least one of the properties you choose, prove that it is indeed preserved under
isomorphism (you only need prove one of them).
Transcribed Image Text:Determine which among the four graphs pictured in Figure 12.24 are isomorphic. For each pair of isomorphic graphs, describe an isomorphism between them. For each pair of graphs that are not isomorphic, give a property that is preserved under isomorphism such that one graph has the property, but the other does not. For at least one of the properties you choose, prove that it is indeed preserved under isomorphism (you only need prove one of them).
5
5₁
4
8
10
10
so
(a) G₁
16
(c) G3
9
7
7
(8
3
3
2
2
5,
8
9
10
60
(b) G₂
1
10
(d) G4
Figure 12.24 Which graphs are isomorphic?
1
(8
5
3
2
2
4
3
Transcribed Image Text:5 5₁ 4 8 10 10 so (a) G₁ 16 (c) G3 9 7 7 (8 3 3 2 2 5, 8 9 10 60 (b) G₂ 1 10 (d) G4 Figure 12.24 Which graphs are isomorphic? 1 (8 5 3 2 2 4 3
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