4 papers
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…
Symmetric Schroder paths and restricted involutions
Eva Y. P. Deng, Mark Dukes, Toufik Mansour +1
Let be the set of permutations in the symmetric group with prefix 12. This paper concerns the enumeration of involutions which avoid the set of patterns . We prese…
Linked Partitions and Linked Cycles
William Y. C. Chen, Susan Y. J. Wu, Catherine Yan
The notion of noncrossing linked partition arose from the study of certain transforms in free probability theory. It is known that the number of noncrossing linked partitions of [n…
Division and the Giambelli Identity
Susan Y. J. Wu, Arthur L. B. Yang
Given two polynomials f(x) and g(x), we extend the formula expressing the remainder in terms of the roots of these two polynomials to the case where f(x) is a Laurent polynomial. T…