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Let X and Y be the integers representing the number of simple graphs possible with 3 labeled vertices and 3 unlabeled vertices respectively. Let X - Y = N. Then, find the number of spanning trees possible with N labeled vertices complete graph.
  • a)
    4
  • b)
    8
  • c)
    16
  • d)
    32
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Let X and Y be the integers representing the number of simple graphs p...
Number of simple graphs possible with n labeled vertices is 2^(n(n-1)/2).
Number of simple graphs possible with n unlabeled vertices is n+1.
Number of spanning tree possible with n vertices complete graph n^(n-2) X =8 Y = 4 X-Y=4
Therefore required answer is 42=16.
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Let X and Y be the integers representing the number of simple graphs possible with 3 labeled vertices and 3 unlabeled vertices respectively. Let X - Y = N. Then, find the number of spanning trees possible with N labeled vertices complete graph.a)4b)8c)16d)32Correct answer is option 'C'. Can you explain this answer?
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