We present a bijective proof of the hook length formula for rooted trees based on the ideas of the bijective proof of the hook length formula for standard tableaux by Novelli, Pak, and Stoyanovskii \([10]\). In Section \(4\), we present another bijection for the formula.
Citation
Bényi Beata. Bijective Proofs of the Hook Formula for Rooted Trees[J], Ars Combinatoria, Volume 106. 483-494. .