Dana Paquin

collaborators

6 papers

math.CO2026

On the magic positivity of the Ehrhart polynomials of dilated base polytope of minimal matroid

Jiaxuan Chen, Chance Crigler, Shengtao Ding +2

In this paper, we consider the magic positivity of the Ehrhart polynomial of dilated base polytope of minimal matroid of rank $k$ dimension $n$ . We prove that for $\displaystyle 1\…

math.NT2026

The One-Power Erdős Conjecture for Primes $p \equiv 7 (mod 36)$

Shen Harman, Dana Paquin

A conjecture of Erdős asserts that every odd integer $n > 1$ can be written as $n = 2^{a} + m$ , where $a \geq 0$ is an integer and $m$ is a squarefree positive integer. We study this…

math.CO2026

Collinear Interior Lattice Points in Triangles Satisfying $B (T) \in {4, 5}$

Jonathan Sakunkoo, Annabella Sakunkoo, Dana Paquin

A positive integer $k$ is called $B n$ -collinear if at least one lattice triangle with $n$ boundary points ( $B (T) = n$ ) and $k$ interior lattice points exists, and every such triangle…

math.CO2026

On Coprime-Preserving Transformations and Dynamic Coprime Labeling

Anushka Tonapi, Dana Paquin

In this paper, we introduce dynamic coprime labeling (DCL), a novel extension of coprime labeling for time-sensitive networks. In particular, we explore whether there exists a grap…

math.NT2025

Convex Lattice Polygons with $k \geq 3$ Interior Points

Dana Paquin, Elli Sumera, Tri Tran

We study the geometry of convex lattice $n$ -gons with $n$ boundary lattice points and $k \geq 3$ collinear interior lattice points. We describe a process to construct a primitive la…

math.CO2025

On lattice triangles satisfying $B (T) = 3$ with collinear interior lattice points

Eddy Li, Dana Paquin

A lattice point in $R^{2}$ is a point $(x, y)$ with $x, y \in Z$ , and a lattice triangle is a triangle whose three vertices are all lattice points. We investigate the i…

On the magic positivity of the Ehrhart polynomials of dilated base polytope of minimal matroid

The One-Power Erdős Conjecture for Primes p≡7(mod36)

Collinear Interior Lattice Points in Triangles Satisfying B(T)∈{4,5}

On Coprime-Preserving Transformations and Dynamic Coprime Labeling

Convex Lattice Polygons with k≥3 Interior Points

On lattice triangles satisfying B(T)=3 with collinear interior lattice points

The One-Power Erdős Conjecture for Primes $p \equiv 7 (mod 36)$

Collinear Interior Lattice Points in Triangles Satisfying $B (T) \in {4, 5}$

Convex Lattice Polygons with $k \geq 3$ Interior Points

On lattice triangles satisfying $B (T) = 3$ with collinear interior lattice points