Graph invariants related to statistical mechanical models: examples and problems
Journal of Combinatorial Theory Series B
The rank of connection matrices and the dimension of graph algebras
European Journal of Combinatorics
Graph invariants in the spin model
Journal of Combinatorial Theory Series B
| Hi-index | 0.00 |
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 Balazs Szegedy from 2007.