Rectangular Matrix Models and Combinatorics of Colored Graphs

Details Rectangular Matrix Models and Combinatorics of Colored Graphs Rectangular Matrix Models and Combinatorics of Colored Graphs

2002-08-02

arxiv.org/abs/cond-mat/0208037v1

Nucl.Phys. B648 (2003) 461-496

Physics

Condensed Matter

Statistical Mechanics

42 pages, 11 figures, tex, harvmac, epsf

Scientific paper

10.1016/S0550-3213(02)00900-8

We present applications of rectangular matrix models to various combinatorial
problems, among which the enumeration of face-bicolored graphs with prescribed
vertex degrees, and vertex-tricolored triangulations. We also mention possible
applications to Interaction-Round-a-Face and hard-particle statistical models
defined on random lattices.

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