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- Eric S. Egge, James Haglund, Kendra Killpatrick, Darla Kremer
- Electr. J. Comb.
- 2003

Garsia and Haiman (J. Algebraic. Combin. 5 (1996), 191 âˆ’ 244) conjectured that a certain sum Cn(q, t) of rational functions in q, t reduces to a polynomial in q, t with nonnegative integralâ€¦ (More)

- Jason Bandlow, Kendra Killpatrick
- Electr. J. Comb.
- 2001

The symmetric q, t-Catalan polynomial Cn(q, t), which specializes to the Catalan polynomial Cn(q) when t = 1, was defined by Garsia and Haiman in 1994. In 2000, Garsia and Haglund proved theâ€¦ (More)

- Kendra Killpatrick
- J. Comb. Theory, Ser. A
- 2005

Tableaux have long been used to study combinatorial properties of permutations and multiset permutations. Discovered independently by Robinson and Schensted and generalized by Knuth, theâ€¦ (More)

- Kendra Killpatrick
- J. Comb. Theory, Ser. A
- 2000

The Kostka numbers KÎ»Î¼ are important in several areas of mathematics, including symmetric function theory, representation theory, combinatorics and invariant theory. The q-Kostka polynomials KÎ»Î¼(q)â€¦ (More)

- Kendra Killpatrick
- Electr. J. Comb.
- 2012

The 2-adic valuation (highest power of 2) dividing the well-known Catalan numbers, Cn, has been completely determined by Alter and Kubota and further studied combinatorially by Deutsch and Sagan. Inâ€¦ (More)

- Kristina C. Garrett, Kendra Killpatrick
- Ars Comb.
- 2011

We explicitly evaluate the generating functions for joint distributions of pairs of the permutation statistics inv, maj and ch over the symmetric group when both variables are set to âˆ’1. We give aâ€¦ (More)

- Kendra Killpatrick
- Eur. J. Comb.
- 2009

Permutation statistics and their connections to Young tableaux have played an important role in enumerative combinatorics. Fibonacci tableaux were defined in 1975 by Stanley, but very few statisticsâ€¦ (More)

- Naiomi T. Cameron, Kendra Killpatrick
- Discrete Mathematics
- 2009

We extend the notion of k-ribbon tableaux to the Fibonacci lattice, a differential poset defined by R. Stanley in 1975. Using this notion, we describe an insertion algorithm that takes k-coloredâ€¦ (More)

McMahonâ€™s result that states the length and major index statistics are equidistributed on the symmetric group Sn has generalizations to other Coxeter groups. Adin, Brenti and Roichman have definedâ€¦ (More)

There is tower of semisimple algebras Fn which play a role for the Fibonacci poset Z(r) analogous to that of the symmetric group algebra for Youngâ€™s lattice. Fibonacci path tableaux play a roleâ€¦ (More)