An iterative solution of the three-colour problem on a random lattice

B. Eynard, C. Kristjansen
1998 Nuclear Physics B  
We study the generalisation of Baxter's three-colour problem to a random lattice. Rephrasing the problem as a matrix model problem we discuss the analyticity structure and the critical behaviour of the resulting matrix model. Based on a set of loop equations we develop an algorithm which enables us to solve the three-colour problem recursively
doi:10.1016/s0550-3213(98)00042-x fatcat:mf3t6rnrb5aw3btnvmf3pyq5ra