Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices¶
Temperley, H. N. V., & Lieb, E. H. Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem. Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.
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1 citation across 1 artifact.
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Domain-specific¶
- Temperley–Lieb Algebra
- The algebra first arose from relations in statistical-mechanical lattice models and later became a common interface among braid representations, the Jones polynomial, quantum groups, link states, and Jones subfactors
This sourceProceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1971. The paper the relations came from: a transfer-matrix treatment of percolation, colouring and ice-type problems on regular planar lattices. The braid, Jones-polynomial and subfactor connections are later work.
Supported in partVerified against the source
- The algebra first arose from relations in statistical-mechanical lattice models and later became a common interface among braid representations, the Jones polynomial, quantum groups, link states, and Jones subfactors
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