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q-Hook Length Formulas for Signed Labeled Forests
statistic forest q-hook length formula Coxeter groups of types B and D (P w)-partition
2014/6/3
A signed labeled forest is defined as a (plane) forest labeled by {1, 2,..., n} along with minus signs associated to some vertices. Signed labeled forests can be viewed as an extension of signed permu...
On Han's Hook Length Formulas for Trees
hook length formula k-ary tree bijection staircase labeling
2014/6/3
Recently, Han obtained two hook length formulas for binary trees and asked for combinatorial proofs. One of Han’s formulas has been generalized to k-ary trees by Yang. Sagan has found a probabilistic ...
Hook Length Formulas for Trees by Han's Expansion
hook length formulas for trees k-ary trees planes trees labeled trees
2014/6/3
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 ...