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math.CO2018
Decompositions of complete multigraphs into stars of varying sizes
Rosalind A. Cameron, Daniel Horsley
In 1979 Tarsi showed that an edge decomposition of a complete multigraph into stars of size exists whenever some obvious necessary conditions hold. In 1992 Lonc gave necessary…
math.CO2018
Decomposable twofold triple systems with non-Hamiltonian 2-block intersection graphs
Rosalind A. Cameron, David A. Pike
The 2-block intersection graph (2-BIG) of a twofold triple system (TTS) is the graph whose vertex set is composed of the blocks of the TTS and two vertices are joined by an edge if…