Functional Relations on Anisotropic Potts Models: from Biggs Formula to the Tetrahedron Equation
We explore several types of functional relations on the family of multivariate Tutte polynomials: the Biggs formula and the star-triangle ( − Δ) transformation at the critical point = 2. We deduce the theorem of Matiyasevich and its inverse from the Biggs formula, and we apply this relation to cons...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2021 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2021
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211314 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Functional Relations on Anisotropic Potts Models: from Biggs Formula to the Tetrahedron Equation. Boris Bychkov, Anton Kazakov and Dmitry Talalaev. SIGMA 17 (2021), 035, 30 pages |