COLOURED GRAPHICAL MODELS AND THEIR SYMMETRIES

被引：2
|
作者：
Davies, I [1 ]
Marigliano, O. [2 ]
机构：
[1] MPI Math Sci, Leipzig, Germany
[2] KTH Royal Inst Technol, Stockholm, Sweden
来源：
MATEMATICHE | 2021年 / 76卷 / 02期
关键词：
Coloured graphs; Gaussian graphical models; graph symmetries;
D O I：
10.4418/2021.76.2.13
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 particular, we give four families for which such linear forms are completely described by symmetries.
引用
收藏
页码：501 / 515
页数：15
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