Dana Paquin

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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.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.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

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

On Coprime-Preserving Transformations and Dynamic Coprime Labeling

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

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

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