D. What are the possible total degrees of graphs obtained by identifying two vertices of G?

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ISBN:9780470458365
Author:Erwin Kreyszig
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Below is depicted a graph ? constructed by joining two opposite vertices of ?12. Some authors call this a “theta graph” because it resembles the Greek letter ?. What are the possible total degrees of graphs obtained by identifying two vertices of ?? 

D. What are the possible total degrees of graphs obtained by
identifying two vertices of G?
Transcribed Image Text:D. What are the possible total degrees of graphs obtained by identifying two vertices of G?
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Step 1

For part d:

The objective is to find the possible total degrees of graph obtained by identifying two vertices of G.

Step 2

Note that by identifying two vertices of G means joining any two vertices of graph G.

And joining two vertices can be shown as:

Advanced Math homework question answer, step 2, image 1

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