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math.CO2024
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…
math.CO2023
Transitive path decompositions of Cartesian products of complete graphs
Ajani De Vas Gunasekara, Alice Devillers
An -decomposition of a graph is a partition of its edge set into subgraphs isomorphic to . A transitive decomposition is a special kind of -decomposition that is highl…