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math.CO2010
Lattice Polynomials, 12312-Avoiding Partial Matchings and Even Trees
William Y. C. Chen, Louis W. Shapiro, Susan Y. J. Wu
The lattice polynomials are introduced by Hough and Shapiro as a weighted count of certain lattice paths from the origin to the point . In particular, $L_{2n, n…
math.CO2010
Minimal Permutations and 2-Regular Skew Tableaux
William Y. C. Chen, Cindy C. Y. Gu, Kevin J. Ma
Bouvel and Pergola introduced the notion of minimal permutations in the study of the whole genome duplication-random loss model for genome rearrangements. Let de…
math.CO2010
2-Log-concavity of the Boros-Moll Polynomials
William Y. C. Chen, Ernest X. W. Xia
The Boros-Moll polynomials arise in the evaluation of a quartic integral. It has been conjectured by Boros and Moll that these polynomials are infinitely log-concave. In t…