The University of Notre Dame Australia

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20182025

most citedPoetry of Repetition: Constructing Verse through Combinatorial Design Theory

1 citations

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4 papers

math.HO2025★ 1 cited

Poetry of Repetition: Constructing Verse through Combinatorial Design Theory

Ajani De Vas Gunasekara, Miriam Wei Wei Lo

This paper investigates the connections between combinatorial design theory and the creation of new forms of poetry through a specific combinatorial structure called Steiner triple…

math.CO2024

Completing partial $k$ -star designs

Ajani De Vas Gunasekara, Daniel Horsley

A $k$ -star is a complete bipartite graph $K_{1, k}$ . A partial $k$ -star design of order $n$ is a pair $(V, A)$ where $V$ is a set of $n$ vertices and $A$ is a set…

math.CO2023

Transitive path decompositions of Cartesian products of complete graphs

Ajani De Vas Gunasekara, Alice Devillers

An $H$ -decomposition of a graph $Γ$ is a partition of its edge set into subgraphs isomorphic to $H$ . A transitive decomposition is a special kind of $H$ -decomposition that is highl…

math.DG2018

Discrete projective minimal surfaces

A. McCarthy, W. K. Schief

We propose a natural discretisation scheme for classical projective minimal surfaces. We follow the classical geometric characterisation and classification of projective minimal su…

Poetry of Repetition: Constructing Verse through Combinatorial Design Theory

Completing partial k-star designs

Transitive path decompositions of Cartesian products of complete graphs

Discrete projective minimal surfaces

Completing partial $k$ -star designs