Rectangular matrix models and combinatorics of colored graphs

被引:37
作者
Di Francesco, P [1 ]
机构
[1] CEA Saclay, Serv Phys Theor, F-91191 Gif Sur Yvette, France
关键词
D O I
10.1016/S0550-3213(02)00900-8
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
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. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:461 / 496
页数:36
相关论文
共 44 条
[1]   Effective QCD partition function in sectors with non-zero topological charge and Itzykson-Zuber type integral [J].
Akuzawa, T ;
Wadati, M .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1998, 67 (07) :2151-2154
[2]   GENERALIZED PENNER MODELS TO ALL GENERA [J].
AMBJORN, J ;
KRISTJANSEN, CF ;
MAKEENKO, Y .
PHYSICAL REVIEW D, 1994, 50 (08) :5193-5203
[3]   BRANCHED POLYMERS FROM A DOUBLE-SCALING LIMIT OF MATRIX MODELS [J].
ANDERSON, A ;
MYERS, RC ;
PERIWAL, V .
NUCLEAR PHYSICS B, 1991, 360 (2-3) :463-479
[4]   COMPLEX RANDOM SURFACES [J].
ANDERSON, A ;
MYERS, RC ;
PERIWAL, V .
PHYSICS LETTERS B, 1991, 254 (1-2) :89-93
[5]  
[Anonymous], 2001, MATH SCI RES I PUBLI
[6]  
Bateman H., 1953, Higher transcendental functions, VII
[7]  
Baxter R. J., 1984, EXACTLY SOLVED MODEL
[8]  
Baxter R. J., 1999, Annals of Combinatorics, V3, P191, DOI [DOI 10.1007/BF01608783, 10.1007/BF01608783]
[9]   HARD-SQUARE LATTICE GAS [J].
BAXTER, RJ ;
ENTING, IG ;
TSANG, SK .
JOURNAL OF STATISTICAL PHYSICS, 1980, 22 (04) :465-489
[10]   ENTROPY OF HARD HEXAGONS [J].
BAXTER, RJ ;
TSANG, SK .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1980, 13 (03) :1023-1030