Dimitri Leemans

activity

20212025

collaborators

Showing math.COShow all

3 papers · 1 filter

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.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…