Geodesic
Hook length formulas for trees by Han's expansion
The electronic journal of combinatorics, Tome 16 (2009) no. 1
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Recently Han obtained a general formula for the weight function corresponding to the expansion of a series in terms of hook lengths of binary trees. In this paper, we present weight function formulas for $k$-ary trees, plane trees, plane forests, labeled trees and forests. We also find appropriate generating functions which lead to unifications of the hook length formulas due to Du and Liu, Han, Gessel and Seo, and Postnikov.
DOI : 10.37236/151
Classification : 05A15, 05A19, 05C22, 05C05
Mots-clés : hook length formulas for trees, \(k\)-ary trees, plane trees, labeled trees, weight function, generating function 
@article{10_37236_151,
     author = {William Y.C. Chen and Oliver X.Q. Gao and Peter L. Guo},
     title = {Hook length formulas for trees by {Han's} expansion},
     journal = {The electronic journal of combinatorics},
     year = {2009},
     volume = {16},
     number = {1},
     doi = {10.37236/151},
     zbl = {1180.05007},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/151/}
}
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William Y.C. Chen; Oliver X.Q. Gao; Peter L. Guo. Hook length formulas for trees by Han's expansion. The electronic journal of combinatorics, Tome 16 (2009) no. 1. doi: 10.37236/151

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