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math.CO2020
Orthogonal Colourings of Tensor Graphs
Kyle MacKeigan
In this paper, perfect k-orthogonal colourings of tensor graphs are studied. First, the problem of determining if a given graph has a perfect 2-orthogonal colouring is reformulated…
math.CO2020★ 4 cited
Independent Coverings and Orthogonal Colourings
Kyle MacKeigan
In this paper, two open conjectures are disproved. One conjecture regards independent coverings of sparse partite graphs, whereas the other conjecture regards orthogonal colourings…