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math.CO2018
A Perfect One-Factorisation of
David A. Pike
In 1963, Anton Kotzig conjectured that for each the complete graph has a perfect one-factorisation (i.e., a decomposition into perfect matchings such that each…
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…