3 citations · 8 across the 7 of their papers we have counts for
7 papers
Polyhedral geometry of refined -Catalan numbers
Matthias Beck, Mitsuki Hanada, Max Hlavacek +3
We study a refinement of the -Catalan numbers introduced by Xin and Zhang (2022, 2023) using tools from polyhedral geometry. These refined -Catalan numbers depend on a ve…
The -positivity of the chromatic symmetric function for twinned paths and cycles
Esther Banaian, Kyle Celano, Megan Chang-Lee +7
The operation of twinning a graph at a vertex was introduced by Foley, Hoàng, and Merkel (2019), who conjectured that twinning preserves -positivity of the chromatic symmetric f…
Generalized parking function polytopes
Mitsuki Hanada, John Lentfer, Andrés R. Vindas-Meléndez
A classical parking function of length is a list of positive integers whose nondecreasing rearrangement satisfies…
An Introduction to Completeness of Positive Linear Recurrence Sequences
Elżbieta Bołdyriew, John Haviland, Phúc Lâm +3
A positive linear recurrence sequence (PLRS) is a sequence defined by a homogeneous linear recurrence relation with positive coefficients and a particular set of initial conditions…
Completeness of Positive Linear Recurrence Sequences
Elżbieta Bołdyriew, John Haviland, Phúc Lâm +3
A sequence of positive integers is complete if every positive integer is a sum of distinct terms. A positive linear recurrence sequence (PLRS) is a sequence defined by a homogeneou…
Extending Zeckendorf's Theorem to a Non-constant Recurrence and the Zeckendorf Game on this Non-constant Recurrence Relation
Elżbieta Bołdyriew, Anna Cusenza, Linglong Dai +16
Zeckendorf's Theorem states that every positive integer can be uniquely represented as a sum of non-adjacent Fibonacci numbers, indexed from . This has been gene…