Dimitri Leemans

activity

20212025

collaborators

6 papers

math.GR2025

Chiral polytopes of order $2 p^{m}$

Ting-Ting Kong, Yan-Quan Feng, Dong-Dong Hou +2

Let $P$ be a chiral polytope with type ${k_{1}, k_{2}}$ and $G = A u t (P)$ . Suppose $∣ G ∣ = 2 p^{m}$ , where $k_{1}, k_{2} \geq 3$ and $p$ is an odd prime. Let $P$ be a Sylow $p$ …

math.GR2024

String C-groups of order $4 p^{m}$

Dong-Dong Hou, Yan-Quan Feng, Dimitri Leemans +1

Let $(G, {ρ_{0}, ρ_{1}, ρ_{2}})$ be a string C-group of order $4 p^{m}$ with type ${k_{1}, k_{2}}$ for $m \geq 2$ , $k_{1}, k_{2} \geq 3$ and $p$ be an odd prime. Let $P$ be a Sylow $p$ -subgroup o…

math.CO2024

A note on girth-diameter cages

Gabriela Araujo-Pardo, Marston Conder, Natalia García-Colín +2

In this paper, we introduce a problem closely related to the Cage Problem and the Degree Diameter Problem. For integers $k \geq 2$ , $g \geq 3$ and $d \geq 1$ , we define a $(k; g, d)$ …

math.CO2023

There is no perfect Mondrian partition for squares of side lengths less than 1001

Natalia García-Colín, Dimitri Leemans, Mia Müßig +1

In mathematics, a dissection of a square (or rectangle) into non-congruent rectangles is a Mondrian partition. If all the rectangles have the same area, it is called a perfect Mond…

math.GR2022

String $C$ -groups with real Schur index $2$

Peter J. Cameron, Allen Herman, Dimitri Leemans

We give examples of finite string $C$ -groups (the automorphism groups of abstract regular polytopes) that have irreducible characters of real Schur index $2$ . This answers a proble…

math.CO2021

Edge-girth-regular graphs arising from biaffine planes and Suzuki groups

Araujo-Pardo Gabriela, Leemans Dimitri

An edge-girth-regular graph $e g r (v, k, g, λ)$ , is a $k$ -regular graph of order $v$ , girth $g$ and with the property that each of its edges is contained in exactly $λ$ distinct $g$ -cyc…