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- Publications
- Influence

An Area-to-Inv Bijection Between Dyck Paths and 312-avoiding Permutations

- Jason Bandlow, Kendra Killpatrick
- Computer Science, Mathematics
- Electron. J. Comb.
- 10 December 2001

The symmetric $q,t$-Catalan polynomial $C_n(q,t)$, which specializes to the Catalan polynomial $C_n(q)$ when $t=1$, was defined by Garsia and Haiman in 1994. In 2000, Garsia and Haglund described… Expand

EFFECTS OF CONCEPT-BASED INSTRUCTION ON STUDENTS' CONCEPTUAL UNDERSTANDING AND PROCEDURAL KNOWLEDGE OF CALCULUS

- K. K. Chappell, Kendra Killpatrick
- Mathematics
- 1 January 2003

ABSTRACT An original study, involving 305 college-level calculus students and 8 instructors, and its replication study, conducted at the same university and involving 303 college-level calculus… Expand

A Schröder Generalization of Haglund's Statistic on Catalan Paths

- Eric S. Egge, J. Haglund, Kendra Killpatrick, Darla Kremer
- Mathematics, Computer Science
- Electron. J. Comb.
- 23 April 2003

Garsia and Haiman ( J. Algebraic. Combin. $\bf5$ $(1996)$, $191-244$) conjectured that a certain sum $C_n(q,t)$ of rational functions in $q,t$ reduces to a polynomial in $q,t$ with nonnegative… Expand

Evacuation and a geometric construction for Fibonacci tableaux

- Kendra Killpatrick
- Computer Science, Mathematics
- J. Comb. Theory, Ser. A
- 1 May 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, the… Expand

Statistics on Linear Chord Diagrams

- Naiomi T. Cameron, Kendra Killpatrick
- Mathematics
- 1 February 2019

Linear chord diagrams are partitions of $\left[2n\right]$ into $n$ blocks of size two called chords. We refer to a block of the form $\{i,i+1\}$ as a short chord. In this paper, we study the… Expand

Wilf Equivalence for the Charge Statistic

- Kendra Killpatrick
- Mathematics
- 13 April 2012

Savage and Sagan have recently defined a notion of st-Wilf equivalence for any permutation statistic st and any two sets of permutations $\Pi$ and $\Pi'$. In this paper we give a thorough… Expand

A Combinatorial Proof of a Recursion for the q-Kostka Polynomials

- Kendra Killpatrick
- Computer Science, Mathematics
- J. Comb. Theory, Ser. A
- 1 October 2000

The Kostka numbers K?? play an important role in symmetric function theory, representation theory, combinatorics and invariant theory. The q-Kostka polynomials K??(q) are the q-analogues of the… Expand

An area-to-inv bijection Dyck paths and 312-avoiding permutations

- Jason Bandlow, Kendra Killpatrick
- Mathematics
- 2001

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Inversion polynomials for permutations avoiding consecutive patterns

- Naiomi T. Cameron, Kendra Killpatrick
- Mathematics, Computer Science
- Adv. Appl. Math.
- 21 February 2014

In 2012, Sagan and Savage introduced the notion of $st$-Wilf equivalence for a statistic $st$ and for sets of permutations that avoid particular permutation patterns which can be extended to… Expand

A Weight-Preserving Bijection Between Schröder Paths and Schröder Permutations

- Jason Bandlow, Eric S. Egge, Kendra Killpatrick
- Mathematics
- 1 December 2002

Abstract. In 1993 Bonin, Shapiro, and Simion showed that the Schröder numbers count certain kinds of lattice paths; these paths are now called Schröder paths. In 1995 West showed that the Schröder… Expand