A Telescopic Proof of Cayley’s Formula
Copyright policy )A Telescopic Proof of Cayley’s Formula
We give a short proof of the fact that the number of labelled trees on $n$ vertices is $n^{n-2}$. Although many short proofs are known, we have not seen this one before.
2 pages
Graph theory, Combinatorial analysis, Combinacions (Matemàtica), Classificació AMS::05 Combinatorics::05A Enumerative combinatorics, Grafs, Teoria de, Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica discreta::Combinatòria, Probability (math.PR), FOS: Mathematics, Mathematics - Combinatorics, Classificació AMS::05 Combinatorics::05C Graph theory, Combinatorics (math.CO), Mathematics - Probability
Graph theory, Combinatorial analysis, Combinacions (Matemàtica), Classificació AMS::05 Combinatorics::05A Enumerative combinatorics, Grafs, Teoria de, Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica discreta::Combinatòria, Probability (math.PR), FOS: Mathematics, Mathematics - Combinatorics, Classificació AMS::05 Combinatorics::05C Graph theory, Combinatorics (math.CO), Mathematics - Probability
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