anonymous
  • anonymous
Plz check this for me
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
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anonymous
  • anonymous
My Question in image plz
ganeshie8
  • ganeshie8
Degree of a vertex is the number of incident edges. Notice that the degree of each vertex in the new graph is \(4\) : |dw:1438553486134:dw|

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anonymous
  • anonymous
what will be answer?
ganeshie8
  • ganeshie8
Since there are \(45\) vertices, the sum of degrees is \(4\cdot 45 = 180\)
anonymous
  • anonymous
The sum of the degrees is 4 ยท = , so the number of edges is , by Theorem 2.6
anonymous
  • anonymous
and number of edges?
ganeshie8
  • ganeshie8
Are you looking for just answer and not really willing to learn ?
anonymous
  • anonymous
no i want to understand also, I am trying to follow u
ganeshie8
  • ganeshie8
good, then look up in ur textbook and tell me what that theorem2.6 is about
anonymous
  • anonymous
okay
anonymous
  • anonymous
here is theorem
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ganeshie8
  • ganeshie8
That theorem says, sum of degrees = \(2|E|\) \[180=2|E| \implies |E| = 90\]
anonymous
  • anonymous
hmmmm
ganeshie8
  • ganeshie8
Btw, \(E\) is the set of edges. \(|E|\) is a symbol that represents the number of elements in the set \(E\)
anonymous
  • anonymous
so it is like 4.45=180 and90
ganeshie8
  • ganeshie8
Yep!
anonymous
  • anonymous
thank you... :)

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