Respuesta :

akindeleot

Answer:

The sum of the degrees of all the vertices = 8

Step-by-step explanation:

A tree with 5 vertices. N = 5

The number of edges in any tree with N vertices will be N - 1

Using Euler's Sum of Degrees Theorem: Sum of the degrees of all the vertices equals twice the number of edges.

Hence 2(N-1) ==> 2(5 - 1) ==> 2(4) ==> 8

The sum of the degrees of all the vertices = 8

  • The calculation is as follows:

A tree with 5 vertices. N = 5

The number of edges in any tree with N vertices  should be N - 1

Here we use Euler's Sum of Degrees Theorem: Sum of the degrees of all the vertices equivalent to twice the number of edges.

So,

=2(N-1)

= 2(5 - 1)

= 2(4)

= 8

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