Coloured Graphical Models and their Symmetries

12/03/2020

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by   Isobel Davies, et al.

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Coloured graphical models are Gaussian statistical models determined by an undirected coloured graph. These models can be described by linear spaces of symmetric matrices. We outline a relationship between the symmetries of the graph and the linear forms that vanish on the reciprocal variety of the model. In the special case of the uniform coloured n-cycle, this gives a complete description of all such linear forms.