Prüfer's encoding and decoding

Prüfer sequence

A simple code for Prüfer's encoding and decoding.
In combinatorial mathematics, the Prüfer sequence (also Prüfer code or Prüfer numbers) of a labeled tree is a unique sequence associated with the tree. The sequence for a tree on n vertices has length n − 2, and can be generated by a simple iterative algorithm. Prüfer sequences were first used by Heinz Prüfer to prove Cayley's formula in 1918.
For more informations see:
http://en.wikipedia.org/wiki/Pr%C3%BCfer_sequence