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4 papers
Vacillating Hecke Tableaux and Linked Partitions
William Y. C. Chen, Peter L. Guo, Sabrina X. M. Pang
We introduce the structure of vacillating Hecke tableaux, and establish a one-to-one correspondence between vacillating Hecke tableaux and linked partitions by using the Hecke inse…
Partially 2-Colored Permutations and the Boros-Moll Polynomials
William Y. C. Chen, Sabrina X. M. Pang, Ellen X. Y. Qu
We find a combinatorial setting for the coefficients of the Boros-Moll polynomials in terms of partially 2-colored permutations. Using this model, we give a combinatorial…
On the Combinatorics of the Boros-Moll Polynomials
William Y. C. Chen, Sabrina X. M. Pang, Ellen X. Y. Qu
The Boros-Moll polynomials arise in the evaluation of a quartic integral. The original double summation formula does not imply the fact that the coefficients of these polynomials a…
Pairs of Noncrossing Free Dyck Paths and Noncrossing Partitions
William Y. C. Chen, Sabrina X. M. Pang, Ellen X. Y. Qu +1
Using the bijection between partitions and vacillating tableaux, we establish a correspondence between pairs of noncrossing free Dyck paths of length and noncrossing partition…