English

A combinatorial proof for Cayley's identity

Combinatorics 2013-09-27 v1

Abstract

In a recent paper, Caracciolo, Sokal and Sportiello presented, inter alia, an algebraic/combinatorial proof for Cayley's identity. The purpose of the present paper is to give a "purely combinatorial" proof for this identity; i.e., a proof involving only combinatorial arguments together with a generalization of Laplace's Theorem, for which a "purely combinatorial" proof is already known.

Keywords

Cite

@article{arxiv.1309.6801,
  title  = {A combinatorial proof for Cayley's identity},
  author = {Markus Fulmek},
  journal= {arXiv preprint arXiv:1309.6801},
  year   = {2013}
}
R2 v1 2026-06-22T01:34:27.969Z