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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

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

Advanced Engineering Mathematics
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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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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