4 citations · 4 across the 4 of their papers we have counts for
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Combinatorial Proof of the Inversion Formula on the Kazhdan-Lusztig R-Polynomials
William Y. C. Chen, Neil J. Y. Fan, Alan J. X. Guo +3
Let be a Coxeter group, and for , let be the Kazhdan-Lusztig -polynomial indexed by and . In this paper, we present a combinatorial proof of th…
Oscillating Rim Hook Tableaux and Colored Matchings
William Y. C. Chen, Peter L. Guo
Motivated by the question of finding a type B analogue of the bijection between oscillating tableaux and matchings, we find a correspondence between oscillating m-rim hook tableaux…
On Han's Hook Length Formulas for Trees
William Y. C. Chen, Oliver X. Q. Gao, Peter L. Guo
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 fo…
Equivalence Classes of Full-Dimensional 0/1-Polytopes with Many Vertices
William Y. C. Chen, Peter L. Guo
Let denote the -dimensional hypercube with the vertex set $V_n=\{0,1}^n$. A 0/1-polytope of is a convex hull of a subset of . This paper is concerned with the e…
Hook Length Formulas for Trees by Han's Expansion
William Y. C. Chen, Oliver X. Q. Gao, Peter L. Guo
Recently Han obtained a general formula for the weight function corresponding to the expansion of a generating function in terms of hook lengths of binary trees. In this paper, we…