Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
Are these to graphs equivalent or not and why
Transcribed Image Text:11.
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Expert Solution
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Step 1
Two graphs are equivalent if they both have the same number of edges and vertices. Moreover, if any vertex is connected to another vertex in one graph, the same should be the case in the second graph.
Given that there are two graphs.
The first graph has vertices, namely, and the second graph also has vertices, namely, .
So, the vertices are the same in both graphs.
The edges in the first graph are .
The edges in the second graph are .
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