Geodesic
Three-coloring statistical model with domain wall boundary conditions: Functional equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 161 (2009) no. 1, pp. 3-20

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We consider the Baxter three-coloring model with boundary conditions of the domain wall type. In this case, it can be proved that the partition function satisfies some functional equations similar to the functional equations satisfied by the partition function of the six-vertex model for a special value of the crossing parameter.
Keywords: three-coloring model, partition function, functional equation. 
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     author = {A. V. Razumov and Yu. G. Stroganov},
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A. V. Razumov; Yu. G. Stroganov. Three-coloring statistical model with domain wall boundary conditions: Functional equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 161 (2009) no. 1, pp. 3-20. http://geodesic.mathdoc.fr/item/TMF_2009_161_1_a0/