Pakawut Jiradilok

activity

20152026

most citedTheta characteristics of tropical

K_{4}

-curves

3 citations · 5 across the 13 of their papers we have counts for

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9 papers · 1 filter

math.CO2024

Some Combinatorial Formulas Related to Diagonal Ramsey Numbers

Pakawut Jiradilok

We derive some combinatorial formulas related to the diagonal Ramsey numbers $R (k)$ . Each formula is a statement of the form " $F (n, k) = 0$ if and only if $n \geq R (k)$ ," where $F(n,…

math.CO2022

Repeatable patterns and the maximum multiplicity of a generator in a reduced word

Christian Gaetz, Yibo Gao, Pakawut Jiradilok +2

We study the maximum multiplicity $M (k, n)$ of a simple transposition $s_{k} = (k k + 1)$ in a reduced word for the longest permutation $w_{0} = n n - 1 \dots 21$ , a…

math.CO2022

Large-scale Rook Placements

Pakawut Jiradilok

For each certain "nice" piecewise linear function $f : [0, 1] \to [0, 1]$ , we consider a family of growing Young diagrams ${λ (f, N)}_{N = 1}^{\infty}$ by enlarging the region under the…

math.CO2022

Triangular-Grid Billiards and Plabic Graphs

Colin Defant, Pakawut Jiradilok

Given a polygon $P$ in the triangular grid, we obtain a permutation $π_{P}$ via a natural billiards system in which beams of light bounce around inside of $P$ . The different cycles i…

math.CO2021★ 2 cited

Double Rim Hook Cluster Algebras

Michael Chmutov, Pakawut Jiradilok, James Stevens

We describe an infinite family of non-Plücker cluster variables inside the double Bruhat cell cluster algebra defined by Berenstein, Fomin, and Zelevinsky. These cluster variables…

math.CO2021

Transportation Distance between Probability Measures on the Infinite Regular Tree

Pakawut Jiradilok, Supanat Kamtue

In the infinite regular tree $T_{q + 1}$ with $q \in Z_{\geq 2}$ , we consider families ${μ_{u}^{n}}$ , indexed by vertices $u$ and nonnegative integers ("discrete time…

math.CO2019

Roots of descent polynomials and an algebraic inequality on hook lengths

Pakawut Jiradilok, Thomas McConville

We prove a conjecture by Diaz-Lopez et al. that bounds the roots of descent polynomials. To do so, we prove an algebraic inequality, which we refer to as the "Slice and Push Inequa…

math.CO2018

Zonotopes whose cellular strings are all coherent

Rob Edman, Pakawut Jiradilok, Gaku Liu +1

A cellular string of a polytope is a sequence of faces stacked on top of each other in a given direction. The poset of cellular strings, ordered by refinement, is known to be homot…

math.CO2016

Reconstructing Partitions from their Multisets of $k$ -Minors

Pakawut Jiradilok

For non-negative integers $n$ and $k$ with $n \geq k$ , a {\em $k$ -minor} of a partition $λ = [λ_{1}, λ_{2}, \dots]$ of $n$ is a partition $μ = [μ_{1}, μ_{2}, \dots]$ of $n - k$ such that $μ_i \…

Some Combinatorial Formulas Related to Diagonal Ramsey Numbers

Repeatable patterns and the maximum multiplicity of a generator in a reduced word

Large-scale Rook Placements

Triangular-Grid Billiards and Plabic Graphs

Double Rim Hook Cluster Algebras

Transportation Distance between Probability Measures on the Infinite Regular Tree

Roots of descent polynomials and an algebraic inequality on hook lengths

Zonotopes whose cellular strings are all coherent

Reconstructing Partitions from their Multisets of k-Minors

Reconstructing Partitions from their Multisets of $k$ -Minors