Kalamazoo2838 Kalamazoo2838
  • 02-09-2019
  • Mathematics
contestada

Determine the number of Hamilton circuits in a complete graph with the following number of vertices.

14

Respuesta :

aristeus aristeus
  • 11-09-2019

Answer:

[tex]6.22\times 10^9[/tex]

Step-by-step explanation:

We have given the number of vertices = 14

We have to find the number of Hamilton circuit

Number of Hamilton circuit is given by (N-1)!, where N is the number of vertices

So the Hamilton circuit = ( 14-1 ) ! =13 ! = 13×12×11×10×9×8×7×6×5×4×3×2×1[tex]=6.22\times 10^9[/tex]

So the number of Hamilton circuit [tex]=6.22\times 10^9[/tex]

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