Coloring random triangulations

P. Di Francesco, B. Eynard, E. Guitter
1998 Nuclear Physics B  
We introduce and solve a two-matrix model for the tri-coloring problem of the vertices of a random triangulation. We present three different solutions: (i) by orthogonal polynomial techniques (ii) by use of a discrete Hirota bilinear equation (iii) by direct expansion. The model is found to lie in the universality class of pure two-dimensional quantum gravity, despite the non-polynomiality of its potential.
doi:10.1016/s0550-3213(98)00037-6 fatcat:mo5i3j64zjg5dgndpykctwxkui