18 citations · 61 across the 37 of their papers we have counts for
6 papers · 1 filter
Derangements and Relative Derangements of Type
William Y. C. Chen, Jessica C. Y. Zhang
By introducing the notion of relative derangements of type , also called signed relative derangements, which are defined in terms of signed permutations, we obtain a type an…
The Limiting Distribution of the Coefficients of the -Catalan Numbers
William Y. C. Chen, Carol J. Wang, Larry X. W. Wang
We show that the limiting distributions of the coefficients of the -Catalan numbers and the generalized -Catalan numbers are normal. Despite the fact that these coefficients…
The Ratio Monotonicity of the -Derangement Numbers
William Y. C. Chen, Ernest X. W. Xia
We show that the -derangement numbers satisfy a ratio monotone property, which is analogous to the log-concavity and is stronger than the spiral property and the unimodality.
Concrete and abstract structure of the sandpile group for thick trees with loops
William Chen, Travis Schedler
We answer a question of Laszlo Babai concerning the abelian sandpile model. Given a graph, the model yields a finite abelian group of recurrent configurations which is closely rela…
A major index for matchings and set partitions
William Y. C Chen, Ira M. Gessel, Catherine H. Yan +1
We introduce a statistic $\pmaj$ on partitions of , and show that it is equidistributed with the number of 2-crossings over partitions of with given sets…
On the Bilateral Series
Vincent Y. B. Chen, William Y. C. Chen, Nancy S. S. Gu
We obtain a formula which reduces the evaluation of a series to two series. In some sense, this identity may be considered as a companion of Slater's formulas. We a…