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The enumeration of maps and the study of uniform random maps have been classical topics of combinatorics and statistical physics ever since the seminal work of Tutte in the sixties.
A census of planar maps
William T. Tutte · 1963
Earlier work this paper cites.
Counting rooted maps by genus. I
Timothy R. S. Walsh and Alfred B. Lehman · 1972
Earlier work this paper cites.
The number of connected sparsely edged graph
Edward M. Wright · 1977
Earlier work this paper cites.
Planar diagrams
Edouard Brézin, Claude Itzykson, Giorgio Parisi, and Jean-Bernard Zuber · 1978
Earlier work this paper cites.
The number of connected sparsely edged graph. ii. smooth graphs and blocks
Edward M. Wright · 1978
Earlier work this paper cites.
Planar maps are well labeled trees
Robert Cori and Bernard Vauquelin · 1981
Earlier work this paper cites.
Singularity analysis of generating functions
Philippe Flajolet and Andrew Odlyzko · 1990
Earlier work this paper cites.
The number of rooted maps on an orientable surface
Edward A. Bender and E. Rodney Canfield · 1991
Earlier work this paper cites.
Some unsolved problems in map enumeration
Edward Bender · 1991
Cited alongside, same era.
Two-dimensional gravity and intersection theory on moduli space
Edward Witten · 1991
Cited alongside, same era.
The number of degree restricted maps on general surfaces
Zhicheng Gao · 1993
Cited alongside, same era.
2d gravity and random matrices
Philippe Di Francesco, Paul Ginsparg, and Jean Zinn-Justin · 1995
Cited alongside, same era.
Quantum gravity, a statistical field theory approach
Jan Ambjø rn, Bergfinnur Durhuus, and Thordur Jónsson · 1997
Cited alongside, same era.
Cartes, hypercartes, et diagrammes de cordes
Michel Marcus · 1997
Cited alongside, same era.
Conjugaison d’arbres et cartes combinatoires aléatoires
Graphs on surfaces
Bojan Mohar and Carsten Thomassen · 2001
Later among the works it cites.
Planar maps as labeled mobiles
Jérémie. Bouttier, Philippe Di Francesco, and Emmanuel Guitter · 2004
Later among the works it cites.
Random planar lattices and integrated superBrownian excursion
Philippe Chassaing and Gilles Schaeffer · 2004
Later among the works it cites.
Limit of normalized quadrangulations: the Brownian map
Jean-François Marckert and Abdelkader Mokkadem · 2006
Later among the works it cites.
The topological structure of scaling limits of large planar maps
Jean-François Le Gall · 2007
Closest in time.
Scaling limits of bipartite planar maps are homeomorphic to the 2-sphere
Jean-François Le Gall and Frédéric Paulin · 2007
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Gilles Schaeffer · 1998
Cited alongside, same era.
Enumerative Combinatorics
Richard Stanley · 1999
Cited alongside, same era.
On the asymptotic number of constellations on orientable surfaces
Guillaume Chapuy
Cited in the paper.
Tessellations of random maps of arbitrary genus
Grégory Miermont · 2007
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Analytic Combinatorics
Philippe Flajolet and Robert Sedgewick · 2008
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