Intermediate
Discrete Mathematics & Math
Q49 / 100
What is Cayley's formula?
Correct! Well done.
Incorrect.
The correct answer is B) The number of labeled trees on n vertices is nⁿ⁻² (proved by Prüfer sequences)
B
Correct Answer
The number of labeled trees on n vertices is nⁿ⁻² (proved by Prüfer sequences)
Explanation
Cayley's formula: T(n) = nⁿ⁻². Proved by Prüfer sequences (bijection between labeled trees and sequences of length n-2 from {1,...,n}). K₄ has 4² = 16 labeled spanning trees.
Progress
49/100