| Research:
Research Area - Combinatorics
Thesis Title - "Recursions for the q-Kostka
Polynomials", University of Minnesota Digital Dissertation
Archives, 1998.
Papers:
- K. Killpatrick, "A Combinatorial Proof of a Recursion for the
q-Kostka Polynomials", Journal of Combinatorial Theory, Series
A, 92 (2000), pgs. 29-53.
- Bandlow, J. and K. Killpatrick, "An Area-to-Inv Bijection
Between Dyck Paths and 312-Avoiding Permutations", Electronic
Journal of Combinatorics, 8 (2001), no.1, Paper 40, 16 pgs.
- Bandlow, J., E. Egge, and K. Killpatrick, "A
Weight-Preserving Bijection Between Schroder Paths and
Pattern-Avoiding Schroder Permutations", Annals of
Combinatorics, 6 (2002), pgs. 235-248.
- Chappell, K. and K. Killpatrick, "The effects of
concept-based instruction on the conceptual understanding and skill
development of Calculus students", PRIMUS, March 2003, Volume
XIII, Number 1, pgs. 17-37.
- Egge, E., J. Haglund, K. Killpatrick and D. Kremer, "A
Schroder Generalization of Haglund's Statistic on Catalan
Paths", Electronic Journal of Combinatorics, 10 (2003),
no.1, Paper R16, 21 pgs.
- K. Killpatrick, "Evacuation and a Geometric Construction for
Fibonacci Tableaux", Journal of Combinatorial
Theory, Series A, 110 (2005) 337-351.
- K. Killpatrick, "A Relationship Between the Major Index for
Tableaux and the Charge Statistic for Permutations",
Electronic Journal of Combinatorics, 12 (2005), No. 1, Paper 45.
- Iga, K. and K. Killpatrick, "Truck Drivers, a Straw and
Sharing a Glass of Water", College Math
Journal, Vol. 37, No. 2, March 2006.
- N. Cameron and K. Killpatrick, "Domino Fibonacci Tableaux",
Electronic Journal of Combinatorics, 13 (2006), No. 1, Paper 45.
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