missjay12 missjay12
  • 06-03-2020
  • Mathematics
contestada

What is the sum of degrees of each vertex for a tree with 5 vertices?



Group of answer choices

5

6

8

10

What is the sum of degrees of each vertex for a tree with 5 vertices Group of answer choices 5 6 8 10 class=

Respuesta :

calculista
calculista calculista
  • 19-03-2020

Answer:

8

Step-by-step explanation:

we know that

Euler's Sum of Degrees Theorem states that: The sum of the degrees of all the vertices equals twice the number of edges.

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

so

The sum of degrees is given by

[tex]2(N-1)[/tex]

we have

[tex]N=5[/tex]

substitute

[tex]2(5-1)=8[/tex]

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