◀ ▲ ▶Branches / Graph-theory / Theorem: Number of Labeled Spanning Trees

Theorem: Number of Labeled Spanning Trees

In a complete graph $K_n$ with $n\ge 2$ labeled vertices, the number of different spanning trees is $n^{n-2}$.

This theorem was discovered by Arthur Cayley (1821 - 1895).

Table of Contents

Proofs: 1

Thank you to the contributors under CC BY-SA 4.0!

Github:

References

Bibliography

1. Krumke S. O., Noltemeier H.: "Graphentheoretische Konzepte und Algorithmen", Teubner, 2005, 1st Edition