Coloured Graphical Models and their Symmetries
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.
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