K. Killpatrick

activity

20122023

most citedWilf Equivalence for the Charge Statistic

4 citations · 7 across the 4 of their papers we have counts for

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5 papers · 1 filter

math.CO2023

Super FiboCatalan Numbers and their Lucas Analogues

Kendra Killpatrick

Catalan observed in 1874 that the numbers $S (m, n) = \frac{( 2 m )! ( 2 n )!}{m ! n ! ( m + n )!}$ , now called the super Catalan numbers, are integers but there is still no known combinatorial…

math.CO2019★ 1 cited

A Recursion for the FiboNarayana and the Generalized Narayana Numbers

Kristina Garrett, Kendra Killpatrick

The Lucas polynomials, ${n}$ , are polynomials in $s$ and $t$ given by ${n} = s {n - 1} + t {n - 2}$ for $n \geq 2$ with ${0} = 0$ and ${1} = 1$ . The lucanomial c…

math.CO2019★ 2 cited

Statistics on Linear Chord Diagrams

Naiomi T. Cameron, Kendra Killpatrick

Linear chord diagrams are partitions of $[2 n]$ 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…

math.CO2014

Inversion Polynomials for Permutations Avoiding Consecutive Patterns

Naiomi Cameron, Kendra Killpatrick

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

math.CO2012★ 4 cited

Wilf Equivalence for the Charge Statistic

Kendra Killpatrick

Savage and Sagan have recently defined a notion of st-Wilf equivalence for any permutation statistic st and any two sets of permutations $Π$ and $Π^{'}$ . In this paper we give a thoro…