Answered: If you claim that the graphs are…

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

If you claim that the graphs are isomorphic, show a bijection and show that your bijection preserves all the edges.

If you claim that the graphs are not isomorphic, explain the structural difference between the two graphs.

If the graphs are not isomorphic explain how the structure of the graphs are different.

Expert Solution

Step 1 Introduction

We Know that A graph can exist in different forms having the same number of vertices, edges, and also the same edge connectivity. Such graphs are called isomorphic graphs.

We can say given graphs are isomorphic if they have:

Equal number of vertices.
Equal number of edges.
Same degree sequence.
Same number of circuit of particular length.

Otherwise two graphs are not isomorphic.

Now from given graphs we have to check graphs are isomorphic or not isomorphic and give correct reason as below.

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