Which pairs of the following graphs are isomorphic? For each isomorphic pair, describe an isomorphism (bijection of vertices preserving adjacency) between them. For each pair that is not isomorphic, give a property preserved under isomorphism that one graph has but the other graph does not. (Note: there are 6 pairs.)

Which pairs of the following graphs are isomorphic? For each isomorphic pair, describe an isomorphism (bijection of vertices preserving adjacency) between them. For each pair that is not isomorphic, give a property preserved under isomorphism that one graph has but the other graph does not. (Note: there are 6 pairs.)

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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Question

Which pairs of the following graphs are
isomorphic? For each isomorphic pair,
describe an isomorphism (bijection of vertices
preserving adjacency) between them. For
each pair that is not isomorphic, give a
property preserved under isomorphism that
one graph has but the other graph does not.
(Note: there are 6 pairs.)
1
6
96
8
10
10
8
4
3
3
(a) G1
(b) G2
1
2
2
8
3
10
10
8
7
6
5
4
3
(c) G3
(d) G4
6.
LO
4.

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