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Rectangular Matrix Models and Combinatorics of Colored Graphs

P. Di Francesco

Abstract

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.

Rectangular Matrix Models and Combinatorics of Colored Graphs

Abstract

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.

Paper Structure

This paper contains 10 figures.

Figures (10)

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