We characterize the rank of edge connection matrices of partition functions of real vertex models, as the dimension of the homogeneous components of the algebra of G-invariant tensors. Here G is the subgroup of the real orthogonal group that stabilizes the vertex model. This answers a question of Balázs Szegedy from 2007.
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Academic Press
European Journal of Combinatorics
Spinoza prijs Lex Schrijver
Networks and Optimization

Regts, G. (2012). The rank of edge connection matrices and the dimension of algebras of invariant tensors. European Journal of Combinatorics, 33(6), 1167–1173.