3 papers
math.CO2026
Chain--collider--fork Decompositions of Transitive Tournament
Ajani De Vas Gunasekara
A transitive tournament is an acyclic orientation of a complete graph. We study decompositions and packings of the transitive tournament \(TT_n\) into connected two-arc motifs. The…
math.HO2025
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.CO2025
Completing partial -star designs
Ajani De Vas Gunasekara, Daniel Horsley
A -star is a complete bipartite graph . A partial -star design of order is a pair where is a set of vertices and is a set…